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Number of items: 125.

Journal Article

Hejazi, Hala, Moroney, Timothy J., & Liu, Fawang (2014) Stability and convergence of a finite volume method for the space fractional advection-dispersion equation. Journal of Computational and Applied Mathematics, 255, pp. 684-697.
Number of citations in Scopus 4
Number of citations in Web of Science® 2

Liu, Qingxia, Liu, Fawang, Turner, Ian, Anh, Vo, & Gu, YuanTong (2014) A RBF meshless approach for modeling a fractal mobile/immobile transport model. Applied Mathematics and Computation, 226, pp. 336-347.

Yang, Qianqian, Turner, Ian, Moroney, Timothy J., & Liu, Fawang (2014) A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction–diffusion equations. Applied Mathematical Modelling. (In Press)

Hejazi, Hala, Moroney, Timothy, & Liu, Fawang (2013) A finite volume method for solving the two-sided time-space fractional advection-dispersion equation. Central European Journal of Physics, 11(10), pp. 1275-1283.

Chen, C.M., Liu, F., Turner, I., Anh, V., & Chen, Y. (2013) Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation. Numerical Algorithms, 63(2), pp. 265-290.
Number of full-text downloads 7
Number of citations in Scopus 1
Number of citations in Web of Science® 1

Chen, J., Liu, Fawang, Burrage, Kevin, & Shen, S. (2013) Numerical techniques for simulating a fractional mathematical model of epidermal wound healing. Journal of Applied Mathematics and Computing, 41(1-2), pp. 33-47.
Number of citations in Scopus 1

Jiang, H., Liu, F., Turner, I., & Burrage, K. (2012) Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Computers & Mathematics with Applications, 64(10), pp. 3377-3388.
Number of full-text downloads 230
Number of citations in Scopus 10
Number of citations in Web of Science® 10

Liu, F., Zhuang, P., & Burrage, K. (2012) Numerical methods and analysis for a class of fractional advection-dispersion models. Computers and Mathematics with Applications, 64(10), pp. 2990-3007.
Number of full-text downloads 61
Number of citations in Scopus 10
Number of citations in Web of Science® 9

Shen, S., Liu, F., Chen, J., Turner, I., & Anh, V. (2012) Numerical techniques for the variable order time fractional diffusion equation. Applied Mathematics and Computation, 218(22), pp. 10861-10870.
Number of full-text downloads 159
Number of citations in Scopus 6
Number of citations in Web of Science® 4

Chen, C.M., Liu, F., Burrage, K., & Chen, Y. (2012) Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. IMA Journal of Applied Mathematics, pp. 1-21.
Number of full-text downloads 25

Jiang, H., Liu, F., Turner, I., & Burrage, K. (2012) Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain. Journal of Mathematical Analysis and Applications, 389(2), pp. 1117-1127.
Number of full-text downloads 73
Number of citations in Scopus 19
Number of citations in Web of Science® 16

Chen, C. M., Liu, F., Anh, V., & Turner, I. (2012) Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Mathematics of Computation, 81(277), pp. 345-366.
Number of citations in Web of Science® 12

Li, Changpin, Zeng, Fanhai, & Liu, Fawang (2012) Spectral approximations to the fractional integral and derivative. Fractional Calculus and Applied Analysis, 15(3), pp. 383-406.
Number of citations in Scopus 16
Number of citations in Web of Science® 16

Yu, Q., Liu, F., Turner, I., & Burrage, K. (2012) A computationally effective alternating direction method for the space and time fractional Bloch–Torrey equation in 3-D. Applied Mathematics and Computation, 219(8), pp. 4082-4095.
Number of full-text downloads 29
Number of citations in Scopus 6
Number of citations in Web of Science® 4

Shen, S., Liu, F., Anh, V., Turner, I., & Chen, J. (2012) A novel numerical approximation for the space fractional advection-dispersion equation. IMA Journal of Applied Mathematics, pp. 1-14. (In Press)

Chen, Chang-Ming, Liu, Fawang, & Burrage, Kevin (2011) Numerical analysis for a variable-order nonlinear cable equation. Journal of Computational and Applied Mathematics, 236(2), pp. 209-224.
Number of full-text downloads 81
Number of citations in Scopus 2
Number of citations in Web of Science® 2

Yang, Qianqian, Moroney, Timothy J., Burrage, Kevin, Turner, Ian, & Liu, Fawang (2011) Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions. Australian and New Zealand Industrial and Applied Mathematics Journal, 52, C395-C409.
Number of full-text downloads 197

Yang, Qianqian, Turner, Ian, Liu, Fawang, & Ilic, Milos (2011) Novel numerical methods for solving the time-space fractional diffusion equation in 2D. SIAM Journal on Scientific Computing (SISC), 33(3), pp. 1159-1180.
Number of full-text downloads 395
Number of citations in Scopus 17
Number of citations in Web of Science® 15

Liu, Q., Liu, Fawang, Turner, Ian, & Anh, Vo (2011) Finite element approximation for a modified anomalous subdiffusion equation. Applied Mathematical Modelling: simulation and computation for engineering and environmental systems, 35(8), pp. 4103-4116.
Number of citations in Scopus 11
Number of citations in Web of Science® 11

Liu, Fawang & Burrage, Kevin (2011) Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Computers and Mathematics with Applications, 62(3), pp. 822-833.
Number of citations in Scopus 13
Number of citations in Web of Science® 12

Chen, Chang-Ming, Liu, Fawang, Turner, Ian, & Anh, Vo (2011) Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid. Computers and Mathematics with Applications, 62(3), pp. 971-986.
Number of citations in Scopus 7
Number of citations in Web of Science® 7

Chen, Chang-Ming, Liu, Fawang, Anh, Vo, & Turner, Ian (2011) Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. Applied Mathematics and Computation, 217(12), pp. 5729-5742.
Number of full-text downloads 56
Number of citations in Scopus 6
Number of citations in Web of Science® 4

Liu, F., Hamilton, N., & Burrage, K. (2011) Some novel techniques of parameter estimation for the dynamical models in biological systems. IMA Journal of Numerical Analysis, 78(2), pp. 235-260.
Number of citations in Scopus 1

Zhuang, Pinghui, Gu, YuanTong, Liu, Fawang, Turner, Ian, & Yarlagadda, Prasad K. (2011) Time-dependent fractional advection–diffusion equations by an implicit MLS meshless method. International Journal for Numerical Methods in Engineering.
Number of full-text downloads 168
Number of citations in Scopus 10
Number of citations in Web of Science® 9

Liu, Fawang, Yang, Qianqian, & Turner, Ian (2011) Two new implicit numerical methods for the fractional cable equation. Journal Of Computational And Nonlinear Dynamics, 6(1), pp. 1-7.
Number of citations in Scopus 11
Number of citations in Web of Science® 5

Liu, QingXia, Gu, YuanTong, Zhuang, Pinghui, Liu, Fawang, & Nie, Yufeng (2011) An implicit RBF meshless approach for time fractional diffusion equations. Computational Mechanics, 48(1), pp. 1-12.
Number of full-text downloads 146
Number of citations in Scopus 22
Number of citations in Web of Science® 21

Ilic, Milos, Turner, Ian, Liu, Fawang, & Anh, Vo (2010) Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. Applied Mathematics and Computation, 216(8), pp. 2248-2262.
Number of citations in Scopus 9
Number of citations in Web of Science® 8

Zhang, H., Liu, Fawang, & Anh, Vo (2010) Galerkin finite element approximation of symmetric space-fractional partial differential equations. Applied Mathematics and Computation, 217(6), pp. 2534-2545.
Number of citations in Scopus 20
Number of citations in Web of Science® 18

Chen, Chang-Ming, Liu, Fawang, Anh, Vo, & Turner, Ian (2010) Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equations. SIAM Journal on Computing, 32(4), pp. 1740-1760.
Number of citations in Scopus 39
Number of citations in Web of Science® 35

Shen, Shujun, Liu, Fawang, & Anh, Vo (2010) Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. Numerical Algorithms, 56(3), pp. 383-403.
Number of citations in Scopus 25
Number of citations in Web of Science® 24

Yang, Qianqian, Liu, Fawang, & Turner, I. (2010) Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. Applied Mathematical Modelling, 34(1), pp. 200-218.
Number of full-text downloads 593
Number of citations in Scopus 71
Number of citations in Web of Science® 61

Liu, Fawang, Walmsley, John, & Burrage, Kevin (2010) Parameter estimation for a phenomenological model of the cardiac action potential. The ANZIAM Journal, 52, C482-C499.
Number of full-text downloads 37

Yang, Qianqian, Liu, Fawang, & Turner, Ian (2010) Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term. International Journal of Differential Equations, 2010, pp. 1-22.
Number of full-text downloads 172
Number of citations in Scopus 6

Gu, YuanTong, Zhuang, Pinghui, & Liu, Fawang (2010) An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation. Computer Modeling in Engineering & Sciences, 56(3), pp. 303-334.
Number of full-text downloads 221
Number of citations in Scopus 17
Number of citations in Web of Science® 16

Chen, Shiping, Liu, Fawang, & Anh, Vo (2010) A novel implicit finite difference method for the one-dimensional fractional percolation equation. Numerical Algorithms, 56(4), pp. 517-535.
Number of citations in Scopus 3
Number of citations in Web of Science® 2

Chen, Chang-Ming, Liu, Fawang, Turner, Ian, & Anh, Vo (2009) Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Numerical Algorithms.
Number of full-text downloads 140
Number of citations in Scopus 22
Number of citations in Web of Science® 20

Yang, Qianqian, Turner, Ian, & Liu, Fawang (2009) Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation. Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM), 50, C800-C814.
Number of full-text downloads 52

Yang, Qianqian, Liu, Fawang, & Turner, Ian (2009) Computationally efficient numerical methods for time- and space-fractional Fokker–Planck equations. Physica Scripta, T136, pp. 1-7.
Number of full-text downloads 363
Number of citations in Scopus 1
Number of citations in Web of Science® 1

Liu, F., Yang, C., & Burrage, K. (2009) Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. Journal of Computational and Applied Mathematics, 231(1), pp. 160-176.
Number of full-text downloads 154
Number of citations in Scopus 51
Number of citations in Web of Science® 45

Zhuang, P., Liu, F., Anh, V., & Turner, I. W. (2009) Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. SIAM Journal on Numerical Analysis (SINUM), 47(3), pp. 1760-1781.
Number of full-text downloads 619
Number of citations in Web of Science® 67

Lin, R., Liu, Fawang, Anh, Vo, & Turner, Ian W. (2009) Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation. Applied Mathematics and Computation, 212(2), pp. 435-445.
Number of full-text downloads 371
Number of citations in Scopus 41
Number of citations in Web of Science® 36

Zhuang, P., Liu, F., Anh, V., & Turner, I. W. (2009) Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process. IMA Journal of Applied Mathematics, 74(5), pp. 645-667.
Number of full-text downloads 141
Number of citations in Scopus 13
Number of citations in Web of Science® 10

Yu, Q, Song, J, Liu, Fawang, Anh, Vo, & Turner, Ian (2009) An approximate solution for the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model using the Adomian decomposition method. Journal of Algorithms and Computational Technology, 3(4), pp. 553-571.

Chen, Chang-Ming & Liu, Fawang (2009) A numerical approximation method for solving a three-dimensional space Galilei invariant fractional advection-diffusion equation. Journal of Applied Mathematics and Computing: International Journal, 30(1-2), pp. 219-236.
Number of citations in Scopus 8

Chen, Chang-Ming, Liu, Fawang, & Anh, Vo (2008) Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. Applied Mathematics and Computation, 204(1), pp. 340-351.
Number of full-text downloads 67
Number of citations in Scopus 10
Number of citations in Web of Science® 10

Chen, Chang-ming, Liu, Fawang, & Burrage, Kevin (2008) Finite difference methods and a fourier analysis for the fractional reaction–subdiffusion equation. Applied Mathematics and Computation, 198(2), pp. 754-769.
Number of full-text downloads 471
Number of citations in Scopus 40
Number of citations in Web of Science® 38

Chen, S & Liu, Fawang (2008) ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation. Journal of Applied Mathematics and Computing, 26(1-2), pp. 295-311.
Number of full-text downloads 181
Number of citations in Scopus 14

Chen, Jing, Liu, Fawang, & Anh, Vo (2008) Analytical Solution for the Time-Fractional Telegraph Equation by the Method of Separating Variables. Journal of Mathematical Analysis and Applications, 338(2), pp. 1364-1377.
Number of citations in Scopus 34
Number of citations in Web of Science® 28

Lin, Yumin & Liu, Fawang (2008) Analytical solution for the non-homogeneous anomalous sub-diffusion equation. Journal of Xiamen University (Natural Science), 47(2), pp. 158-163.
Number of full-text downloads 85

Chen, S., Liu, Fawang, Zhuang, Pinghui, & Anh, Vo V. (2008) Finite difference approximations for the fractional Fokker–Planck equation. Applied Mathematical Modelling, In Press.
Number of full-text downloads 247
Number of citations in Scopus 49
Number of citations in Web of Science® 45

Anh, Vo, Chen, Chang-Ming, & Liu, Fawang (2008) A Fourier method and an extrapolation technique for Stokes' first problem for a heated generalized second grade fluid with fractional derivative. Journal of Computational and Applied Mathematics, 223(2), pp. 777-789.
Number of full-text downloads 126
Number of citations in Scopus 20
Number of citations in Web of Science® 15

Shen, Shujun, Anh, Vo, & Liu, Fawang (2008) Fundamental solution and discrete random walk model for time-space fractional diffusion equation. Journal of Applied Mathematics and Computing, 28(1-2), pp. 147-164.
Number of full-text downloads 112
Number of citations in Scopus 4

Zhuang, Pinghui, Liu, Fawang, Anh, Vo, & Turner, Ian (2008) New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. SIAM Journal on Numerical Analysis, 46(2), pp. 1079-1095.
Number of full-text downloads 256
Number of citations in Scopus 91
Number of citations in Web of Science® 76

Liu, Q., Liu, F., Turner, I.W., & Anh, V. (2008) Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. IMA Journal of Applied Mathematics, 74(2), pp. 201-229.
Number of full-text downloads 220
Number of citations in Scopus 10
Number of citations in Web of Science® 12

Zhang, Hong-Mei & Liu, Fawang (2008) Numerical simulation of the Riesz fractional diffusion equation with a nonlinear source term. Journal of Applied Mathematics and Informatics, 26(1-2), pp. 1-14.
Number of full-text downloads 163

Yu, Q, Liu, Fawang, Anh, Vo, & Turner, Ian (2008) Solving linear and non-linear space-time fractional reaction-diffusion equations by the adomian decomposition method. International Journal for Numerical Methods in Engineering, 74(1), pp. 138-158.
Number of citations in Scopus 16
Number of citations in Web of Science® 14

Shen, Shujun & Liu, Fawang (2008) A computationally efficient solution method for a riesz space fractional advection-dispersion equation. Journal of Xiamen University (Natural Science) [厦门大学学报自然科学版], 47(1), pp. 20-24.
Number of full-text downloads 5

Anh, Vo, Liu, Fawang, Shen, S, & Turner, Ian (2008) The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. IMA Journal of Applied Mathematics, 73, pp. 850-872.
Number of citations in Scopus 21
Number of citations in Web of Science® 20

Liu, Fawang & Zhang, Hong-Mei (2008) The solutions of a special form of the time fractional Navier-Stokes equations. Chinese Journal of Engineering Mathematics (Gongcheng Shuxue Xuebao), 25(5), pp. 935-938.
Number of full-text downloads 79

Huang, F & Liu, Fawang (2008) The time fractional diffusion and wave equations in an n-dimensional half space with mixed boundary conditions. Pacific Journal of Applied Mathematics, 1(4), pp. 67-77.
Number of full-text downloads 111

Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., & Anh, Vo V. (2007) A Fourier method for the fractional diffusion equation describing sub-diffusion. Journal of Computational Physics, 227(2), pp. 886-897.
Number of full-text downloads 530
Number of citations in Scopus 100
Number of citations in Web of Science® 89

Yin, Cui-Ying, Liu, Fawang, & Anh, Vo V. (2007) Numerical simulation of the nonlinear fractional dynamical systems with fractional damping for the extensible and inextensible pendulum. Journal of Algorithms & Computational Technology, 1(4), pp. 427-447.
Number of full-text downloads 377

Zhuang, Pinghui & Liu, Fawang (2007) Implicit difference approximation for the two-dimensional space-time fractional diffusion equation. Journal of Applied Mathematics and Computing, 25(1-2), pp. 269-282.
Number of full-text downloads 227
Number of citations in Scopus 11

Zhang, H., Liu, Fawang, & Anh, Vo V. (2007) Numerical approximation of Levy–Feller diffusion equation and its probability interpretation. Journal of Computational and Applied Mathematics, 206(2), pp. 1098-1115.
Number of full-text downloads 178
Number of citations in Scopus 10
Number of citations in Web of Science® 10

Liu, Q., Liu, Fawang, Turner, Ian W., & Anh, Vo V. (2007) Approximation of the Levy–Feller advection–dispersion process by random walk and finite difference method. Journal of Computational Physics, 222(1), pp. 57-70.
Number of full-text downloads 167
Number of citations in Scopus 53
Number of citations in Web of Science® 48

Zhuang, Pinghui & Liu, Fawang (2007) Finite difference approximation for two-dimensional time fractional diffusion equation. Journal of Algorithms & Computational Technology, 1(1), pp. 1-15.
Number of full-text downloads 549

Cai, Xin & Liu, Fawang (2007) Numerical simulation of the fractional-order control system. Journal of Applied Mathematics and Computing, 23(1-2), pp. 229-241.
Number of full-text downloads 359
Number of citations in Scopus 13

Lin, R & Liu, Fawang (2007) Fractional High Order Methods For The Nonlinear Fractional Ordinary Differential Equation. Nonlinear Analysis, 66(4), pp. 856-869.
Number of full-text downloads 244
Number of citations in Scopus 34
Number of citations in Web of Science® 30

Zhang, Hongmei & Liu, Fawang (2007) The Fundamental Solutions of the Space, Space-Time Riesz Fractional Partial Differential Equations with Periodic Conditions. Numerical Mathematics: Theory, Methods and Applications (NM-TMA), 16(2), pp. 181-192.

Chen, Chang-ming, Liu, Fawang, Turner, Ian, & Anh, Vo (2007) Implicit Difference Approximation of the Galilei Invariant Fractional Advection Diffusion Equation. ANZIAM Journal, 48(Supp), pp. 775-789.

Zhuang, Pinghui, Liu, Fawang, Anh, Vo, & Turner, Ian (2007) Numerical Treatment For The Fractional Fokker-Planck Equation. ANZIAM Journal, 48(Supp), pp. 759-774.

Cai, X & Liu, Fawang (2007) A Reynolds Uniform Scheme for Singularly Perturbed Parabolic Differential Equation. Australian and New Zealand Industrial and Applied Mathematics Journal, 47(Supp), pp. 633-648.

Chen, Jing & Liu, Fawang (2007) Stability and Convergence of an Implicit Difference Approximation for the Space Riesz Fractional Reaction-Dispersion Equation. Numerical Mathematics: Theory, Methods and Applications (NM-TMA), 16(3), pp. 253-264.

Liu, Fawang, Zhuang, Pinghui, Anh, Vo, Turner, Ian, & Burrage, Kevin (2007) Stability and convergence next term of the difference methods for the space-time fractional advection-diffusion equation. Applied Mathematics and Computation, 191(1), pp. 12-20.
Number of citations in Scopus 97
Number of citations in Web of Science® 90

Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., & Su, Ninghu (2006) A finite volume simulation model for saturated–unsaturated flow and application to Gooburrum, Bundaberg, Queensland, Australia. Applied Mathematical Modelling, 30(4), pp. 352-366.
Number of full-text downloads 91
Number of citations in Scopus 4
Number of citations in Web of Science® 2

Shen, Shujun, Liu, Fawang, Anh, Vo, & Turner, Ian (2006) Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. Journal of Applied Mathematics and Computing, 22(3), pp. 1-19.
Number of full-text downloads 603
Number of citations in Scopus 5

Zhuang, Pinghui & Liu, Fawang (2006) Implicit difference approximation for the time fractional diffusion equation. Journal of Applied Mathematics and Computing, 22(3), pp. 87-99.
Number of citations in Scopus 48

Ilic, Milos, Liu, Fawang, Turner, Ian, & Anh, Vo (2006) Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions. Fractional Calculus and Applied Analysis, 9(4), pp. 333-349.
Number of full-text downloads 144

Zheng, Tingting & Liu, Fawang (2006) A Petrov-Galerkin method for a singularly perturbed ordinary differential equation with non-smooth data. Journal of Applied Mathematics and Computing, 22(1-2), pp. 317-329.
Number of full-text downloads 79

Liu, Fawang, Shen, Shujun, Anh, Vo, & Turner, Ian (2005) Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation. The ANZIAM Journal, 46, C488-C504.
Number of full-text downloads 63
Number of citations in Scopus 17

Huang, Fenghui & Liu, Fawang (2005) The Fundamental Solution of the Space-Time Fractional Advection-Dispersion Equation. Journal of Applied Mathematics and Computing: International Journal, 18(1), pp. 339-350.
Number of full-text downloads 763
Number of citations in Scopus 45

Zhang, H & Liu, Fawang (2005) Numerical solution for the Levy-Feller diffusion equation. Numerical Mathematics (English Series): a journal of Chinese universities, S1, pp. 238-241.

Su, Ninghu, Sander, G.C., Liu, Fawang, Anh, Vo, & Barry, D.A. (2005) Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity. Applied Mathematical Modelling, 29(9), pp. 852-870.
Number of full-text downloads 64
Number of citations in Scopus 7
Number of citations in Web of Science® 7

Huang, Fenghui & Liu, Fawang (2005) The Space-Time Fractional Diffusion Equation with Caputo Derivatives. Journal of Applied Mathematics and Computing: International Journal, 19(1), pp. 179-190.
Number of full-text downloads 347
Number of citations in Scopus 10

Huang, F & Liu, Fawang (2005) The Time Fractional Diffusion Equation and the Advection-Dispersion Equation. The A N Z I A M Journal, 46, pp. 317-330.
Number of full-text downloads 200
Number of citations in Scopus 27
Number of citations in Web of Science® 22

Zhuang, Pinghui & Liu, Fawang (2005) An explicit approximation for the space-time fractional diffusion equation. Numerical Mathematics (English Series): a journal of Chinese universities, S1, pp. 223-230.

Cai, Xin & Liu, Fawang (2005) A numerical method for the space Riesz fractional diffusion equation. Numerical Mathematics (English Series): a journal of Chinese universities, S1, pp. 242-248.

Liu, Fawang, Anh, Vo V., & Turner, Ian W. (2004) Numerical solution of the space fractional Fokker-Planck equation. Journal of Computational and Applied Mathematics, 166(1), pp. 209-219.
Number of full-text downloads 537
Number of citations in Scopus 176
Number of citations in Web of Science® 158

Liu, Fawang, Anh, Vo, Turner, Ian, & Zhuang, Pinghui (2004) Numerical simulation for solute transport in fractal porous media. ANZIAM Journal, 45, C461-C473.
Number of full-text downloads 77

Cai, X & Liu, Fawang (2004) Uniform Convergence Difference Schemes for Singularly Perturbed Mixed Boundary Problems. Journal of Computational and Applied Mathematics, 166, pp. 31-54.
Number of full-text downloads 47
Number of citations in Scopus 23
Number of citations in Web of Science® 17

Please, Colin P., Liu, Fawang, & McElwain, Sean (2003) Condensed phase combustion travelling waves with sequential exothermic or endothermic reactions. Combustion Theory and Modelling, 7(1), pp. 129-143.
Number of citations in Scopus 10
Number of citations in Web of Science® 10

Su, Ninghu, Liu, Fawang, & Anh, Vo (2003) Tides as phase-modulated waves inducing periodic groundwater flow in coastal aquifers overlaying a sloping impervious base. Environmental Modelling & Software, 18(10), pp. 937-942.
Number of citations in Scopus 17
Number of citations in Web of Science® 14

Liu, Fawang, Anh, Vo, Turner, Ian, & Zhuang, Pinghui (2003) Time fractional advection-dispersion equation. Journal of Applied Mathematics and Computing, 13(1-2), pp. 233-245.
Number of full-text downloads 531
Number of citations in Scopus 64

Liu, Fawang, Turner, Ian, Anh, Vo, & Su, Ninghu (2003) A two-dimensional finite volume method for transient simulation of time-and scale-dependent transport in heterogeneous aquifer systems. Journal of Applied Mathematics and Computing, 11(1-2), pp. 215-241.
Number of full-text downloads 132
Number of citations in Scopus 7

Liu, Fawang, Turner, Ian, & Anh, Vo (2002) An unstructured mesh finite volume method for modelling saltwater intrusion into coastal aquifers. Journal of Applied Mathematics and Computing, 9(2), pp. 391-407.
Number of citations in Scopus 9

Conference Paper

Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2012) Alternating direction implicit numerical method for the space and time fractional Bloch-Torrey equation in 3-D. In Cheng, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing, China, pp. 1-8.

Wang, Xuebin & Liu, Fawang (2012) Analytical solutions for the two- and three-dimensional time-fractional telegraph equations by the method of separating variables. In Cheng, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing, China, pp. 1-6.

Jiang, H., Liu, F., Meerschaert, M.M., & McGough, R. (2012) Analytical solutions of the multi-term modified power law wave equations in a finite domain. In Chen, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) The Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing.

Yang, Qianqian, Moroney, Timothy J., Liu, Fawang, & Turner, Ian (2012) Computationally efficient methods for solving time-variable-order time-space fractional reaction-diffusion equation. In 5th IFAC Symposium on Fractional Differentiation and its Applications, 14-17 May 2012, Hohai University, Nanjing, China.
Number of full-text downloads 217

Zhuang, P., Liu, F., Anh, V., & Turner, I. (2012) The Galerkin finite element approximation of the fractional cable equation. In Cheng, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) The Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing, pp. 1-8.

Zhang, H., Liu, F., Phanikumar, M.S., & Meerschaert, M.M. (2012) Numerical analysis of the time variable fractional order mobile-immobile advection-dispersion model. In Chen, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing.

Liu, F., Meerschaert, M.M., McGough, R.J., Zhuang, P., & Liu, Q. (2012) Numerical methods for solving the multi-term time-fractional wave-diffusion equations. In Chen, Wen, Sung, HongGuang, & Baleanu, Dumitru (Eds.) The Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing.

Chen, J., Liu, F., Burrage, K., & Shen, S. (2012) Numerical simulation of a fractional mathematical model for epidermal wound healing. In Chen, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing.

Chen, S., Liu, F., & Burrage, K. (2012) Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. In Chen, Wen, Sun, HongGuang, & Balaenu, Dumitru (Eds.) The Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing, pp. 1-7.

Hejazi, H., Moroney, T.J., & Liu, F. (2012) A finite volume method for solving the two-sided time-space fractional advection-dispersion equation. In Chen, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) The Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing.

Liu, Fawang, Turner, Ian, Anh, Vo, & Gu, YuanTong (2012) An implicit RBF meshless method for a fractal mobile/immobile transport model. In Chen, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) The Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing.

Song, J., Yu, Q., Liu, F., & Turner, I. (2012) A new implicit numerical method for the space and time fractional Bloch-Torrey equation. In Cheng, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing, pp. 1-9.

Yang, Qianqian, Turner, Ian, Moroney, Timothy J., & Liu, Fawang (2012) A preconditioned Lanczos method for space-fractional reaction-diffusion equations on two-dimensional unstructured meshes. In Gu, YuanTong (Ed.) 4th International Conference on Computational Methods (ICCM2012), 25-28 November 2012, Crowne Plaza, Gold Coast, QLD.
Number of full-text downloads 78

Shen, S., Liu, F., Anh, V., Turner, I., & Chen, J. (2012) A second-order accurate numerical approximation for the Riesz space fractional advection-dispersion equation. In Chen, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) The Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing.

Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2011) Analytical and numerical solutions of the space and time fractional bloch-torrey equation. In Jalili, Nader (Ed.) Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Elsevier, Chicago, Illinois, pp. 1-10.

Liu, F., Zhuang, P., & Burrage, K. (2011) Stability and convergence of implicit numerical methods for a class of fractional advection-dispersion models. In Jalili, Nader (Ed.) Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Washington, DC, pp. 85-94.

Yang, Qianqian, Turner, Ian, & Liu, Fawang (2008) Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation. In ANZIAM Journal : Proceedings of the 4th Biennial Computational Techniques and Applications Conference (CTAC2008), Australian National University, Canberra, C800-C814.
Number of full-text downloads 202
Number of citations in Scopus 3

Yang, Qianqian, Liu, Fawang, & Turner, Ian (2008) Numerical solution techniques for time- and space-fractional Fokker-Planck equations. In Sabatier, J., Magin, R., Vinagre, B., & Baleanu, D. (Eds.) Proceedings of the 3rd International Federation of Automatic Control (IFAC) Workshop on Fractional Differentiation and its Applications, 5 - 7 November 2008, Ankara, Turkey.
Number of full-text downloads 101

Liu, Fawang & Yang, C (2006) A Computationally Effective Predictor-Corrector Method for Simulating Fractional Order Dynamical Control System. In Stacey, A, Blyth, B, & Shepherd, J (Eds.) Proceedings of the 7th Biennial Engineering Mathematics and Applications Conference (ANZIAM Journal, Vol 47), 25-28 September 2005, Australia, Victoria, Melbourne.

Liu, Fawang, Zhuang, P., Turner, Ian, & Anh, Vo (2006) A fractional-order implicit difference approximation for the space-time fractional diffusion equation. In Stacey, A., Blyth, B., & Shepherd, J. (Eds.) Proceedings of the 7th Biennial Engineering Mathematics and Applications Conference, ANZIAM Journal, Melbourne, Victoria, pp. 48-68.
Number of full-text downloads 62

Shen, Shujun & Liu, Fawang (2005) Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends. In May, R. (Ed.) Proceedings of the 2004 International Conference on Computational Techniques and Applicaitons, Australian Mathematical Society, Melbourne, Victoria, pp. 872-887.

Liu, Fawang, Anh, Vo, & Turner, Ian (2003) A two-Dimensional finite volume method for variable density flow and solute transport through saturated-unsaturated media. In The proceeding of the International Symposium on Nonlinear Science and Application, Shanghai.
Number of full-text downloads 52

Liu, Fawang, Anh, Vo, & Turner, Ian (2002) Numerical solution of the fractional-order advection-dispersion equation. In Wang, S. & Fowkes, N. (Eds.) Proceedings of BAIL2002, The Univeristy of Western Australia, The University of Western Australia, Perth, Western Australia, pp. 159-164.

Anh, Vo, Liu, Fawang, & Su, Ninghu (2002) Simulating Seawater Intrusion in Aquifers using the Modified Fokker-Planck Equation and Boussinesq Equation Subject to Phase-Modulated Tidal Waves. In Gulati, C, Lin, Y, Mishra, S, & Rayner, J (Eds.) Advances in Statistics, Combinatorics and Related Areas., 19-21 December 2001, University of Wollongong, New South Wales.

Cai, X. & Liu, Fawang (2002) A class of conservative difference schemes for conservative equation with a small parameter. In Wang, S. & Fowkes, N. (Eds.) Proceedings of BAIL2002, The University of Western Australia, University of Western Australia, Perth, Western Australia, pp. 67-72.

Conference Item

Burrage, K., Liu, F., Turner, I., & Anh, V. (2012) Two novel numerical methods for solving the two-dimensional fractional Fitzhugh-Nagumo-monodomain model. In Turner, Ian (Chair) (Ed.) The 16th Biennial Computational Techniques and Applications Conference, 23 - 26 September, 2012, Brisbane, Queensland.

Hejazi, H., Moroney, T., & Liu, F. (2012) A comparison of finite difference and finite volume methods for solving the space fractional advection-dispersion equation with variable coefficients. In Turner, Ian (Chair) (Ed.) The 16th Biennial Computational Techniques and Applications Conference, 23-26 September 2012 , Queensland University of Technology, Brisbane. (In Press)

Yu, Q., Liu, F., Turner, I., Burrage, K., & Vegh, V. (2012) The use of a Riesz fractional differential-based approach for texture enhancement in image processing. In Turner, Ian (Chair) (Ed.) The 16th Biennial Computational Techniques and Applications Conference, 23 - 26 September, 2012 , Brisbane, Queensland.

This list was generated on Sat Jul 26 05:54:04 2014 EST.