Browse By Person: Liu, Fawang

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Number of items: 121.

Journal Article

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.

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.

130

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.

Chen, C.M., Liu, F., Turner, I., Anh, V., & Chen, Y. (2012) Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation. Numerical Algorithms. (In Press)

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.

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.

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.

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.

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.

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.

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)

Hejazi, Hala, Moroney, Timothy J., & Liu, Fawang (2011) Stability and convergence of a finite volume method for the space fractional advection-dispersion equation. Journal of Computational and Applied Mathematics.

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.

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.

158

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.

274

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.

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.

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.

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.

Liu, Fawang, Walmsley, John, & Burrage, Kevin (2011) Parameter estimation for a phenomenological model of the cardiac action potential. The ANZIAM Journal, 52, C482-C499. (In Press)

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.

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.

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.

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.

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.

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.

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.

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.

439

Liu, F., Hamilton, N., & Burrage, K. (2010) Some novel techniques of parameter estimation for the dynamical models in biological systems. IMA Journal of Numerical Analysis. (In Press)

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.

134

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.

141

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.

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.

Liu, Q. & Liu, Fawang (2009) Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives. Mathematica Numerica Sinica, 31(2).

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.

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.

201

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.

139

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.

429

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.

286

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.

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.

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.

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.

369

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.

109

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.

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.

Chen, S., Liu, Fawang, Zhuang, Pinghui, & Anh, Vo V. (2008) Finite difference approximations for the fractional Fokker–Planck equation. Applied Mathematical Modelling, In Press.

222

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.

100

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.

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.

157

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.

155

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.

110

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.

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.

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.

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.

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.

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.

420

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.

297

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.

171

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.

157

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.

125

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.

439

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.

282

Lin, R & Liu, Fawang (2007) Fractional High Order Methods For The Nonlinear Fractional Ordinary Differential Equation. Nonlinear Analysis, 66(4), pp. 856-869.

181

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.

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.

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.

354

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.

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.

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.

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.

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.

140

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.

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.

207

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.

121

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.

438

135

122

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

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.

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.

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.

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.

311

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.

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.

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.

146

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.

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.

185

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.

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.

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.

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.

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