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Items where Subject is "Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Ordinary Differential Equations Difference Equations and Dynamical Systems (010109)"

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Number of items at this level: 47.

Journal Article

Anh, Vo, Wanliss, James, Watson, Stephen, & Yu, Zu-Guo (2006) Chaos Game Representation of The Dst Index and Prediction of Geomagnetic Storm Events. Chaos, Solitons & Fractals, 31(3), pp. 736-746.
Number of full-text downloads 61
Number of citations in Scopus 13
Number of citations in Web of Science® 10

Anh, Vo V. & McVinish, Ross S. (2003) Completely Monotone Property of Fractional Green Functions. Fractional Calculus and Applied Analysis, 6(2), pp. 157-173.

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 373
Number of citations in Scopus 13

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 576
Number of citations in Scopus 111
Number of citations in Web of Science® 96

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 512
Number of citations in Scopus 48
Number of citations in Web of Science® 43

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.

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.

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 35
Number of citations in Web of Science® 29

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 256
Number of citations in Scopus 55
Number of citations in Web of Science® 48

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 223
Number of citations in Scopus 31
Number of citations in Web of Science® 28

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 899
Number of citations in Scopus 46

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 374
Number of citations in Scopus 10

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 258
Number of citations in Scopus 36
Number of citations in Web of Science® 32

Lin, Tian Ran (2012) An analytical and experimental study of the vibration response of a clamped ribbed plate. Journal of Sound and Vibration, 331(4), pp. 902-913.
Number of full-text downloads 225
Number of citations in Scopus 1

Lin, Tian Ran (2008) A study of modal characteristics and the control mechanism of finite periodic and irregular ribbed plates. The Journal of the Acoustical Society of America, 123(2), pp. 729-737.
Number of citations in Scopus 10
Number of citations in Web of Science® 7

Lin, Tian Ran & Pan, Jie (2006) A closed form solution for the dynamic response of finite ribbed plates. The Journal of the Acoustical Society of America, 119(2), pp. 917-925.
Number of citations in Scopus 19
Number of citations in Web of Science® 12

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 71
Number of citations in Scopus 18

Mallet, Daniel G. & McCue, Scott W. (2009) Constructive development of the solutions of linear equations in introductory ordinary differential equations. International Journal of Mathematical Education in Science and Technology, 40(5), pp. 587-595.
Number of citations in Scopus 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 612
Number of citations in Scopus 6

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 65
Number of citations in Scopus 8
Number of citations in Web of Science® 7

Tian, Yu-Chu & Gao, Furong (1997) Extraction of delay information from chaotic time series based on information entropy. Physica D: Nonlinear Phenomena, 108(1-2), pp. 113-118.
Number of citations in Scopus 25
Number of citations in Web of Science® 28

Tian, Yu-Chu, Yu, Zu-Guo, & Fidge, Colin J. (2007) Multifractal nature of network induced time delay in networked control systems. Physics Letters. Section A: General, Atomic and Solid State Physics, 361(1-2), pp. 103-107.
Number of full-text downloads 227
Number of citations in Scopus 38
Number of citations in Web of Science® 28

Yao, Hongmei, Tian, Yu-Chu, & Tade, Moses O. (2008) Using wavelets for solving SMB separation process models. Industrial and Engineering Chemistry Research, 47(15), pp. 5585-5593.
Number of citations in Scopus 6
Number of citations in Web of Science® 5

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 407

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 19
Number of citations in Web of Science® 16

Yu, Zu-Guo, Anh, Vo V., & Lau, Ka-Sing (2001) Measure representation and multifractal analysis of complete genomes. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 64(3), 031903.
Number of full-text downloads 204
Number of citations in Scopus 72
Number of citations in Web of Science® 54

Yu, Zu-Guo, Anh, Vo V., & Lau, Ka-Sing (2003) Multifractal and correlation analyses of protein sequences from complete genomes. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 68(2), 021913-1.
Number of full-text downloads 296
Number of citations in Scopus 48
Number of citations in Web of Science® 38

Zang, Hong, Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O. (2008) Limit cycles for the Kukles system. Journal of Dynamical and Control Systems, 14(2), pp. 283-298.
Number of full-text downloads 93
Number of citations in Scopus 3
Number of citations in Web of Science® 3

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.

Zhang, Tonghua, Tade, Moses O., & Tian, Yu-Chu (2007) Linear estimate of the number of limit cycles for a class of non-linear systems. Chaos, Solitons and Fractals, 31(4), pp. 804-810.
Number of full-text downloads 120
Number of citations in Scopus 2
Number of citations in Web of Science® 3

Zhang, Tonghua, Tade, Moses O., Tian, Yu-Chu, & Zang, Hong (2008) High-resolution method for numerically solving PDEs in process engineering. Computers and Chemical Engineering, 32(10), pp. 2403-2408.
Number of full-text downloads 118
Number of citations in Scopus 6
Number of citations in Web of Science® 4

Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O. (2007) On the Number of Zeros of the Abelian Intergrals for a Class of Perturbed Lienard Systems. International Journal of Bifurcation and Chaos, 17(9), pp. 3281-3287.
Number of citations in Scopus 1
Number of citations in Web of Science® 1

Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O. (2008) Wavelet-based collocation method for stiff systems in process engineering. Journal of Mathematical Chemistry, 44(2), pp. 501-513.
Number of full-text downloads 195
Number of citations in Scopus 6
Number of citations in Web of Science® 2

Zhang, Tonghua, Tian, Yu-Chu, Tade, Moses O., & Utomo, Johan (2007) Comments on "The computation of wavelet-Galerkin approximation on a bounded interval". International Journal for Numerical Methods in Engineering, 72, pp. 244-251.
Number of full-text downloads 131
Number of citations in Scopus 8
Number of citations in Web of Science® 5

Zhou, Yu, Yu, Zu-Guo, & Anh, Vo V. (2007) Cluster protein structures using recurrence quantification analysis on coordinates of alpha-carbon atoms of proteins. Physics Letters. Section A: General, Atomic and Solid State Physics, 368(3/4), pp. 314-319.
Number of full-text downloads 159
Number of citations in Scopus 8
Number of citations in Web of Science® 8

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 575

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 52

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 253
Number of citations in Scopus 13

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

van Heijster, Peter & Sandstede, Björn (2014) Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system. Physica D : Nonlinear Phenomena, 275, pp. 19-34.

Conference Paper

Campbell, Alexander B., Pham, Binh L., & Tian, Yu-Chu (2005) Delay-Embedding Approach to Multi-Agent System Construction and Calibration. In Zerger, A. & Argent, R.M. (Eds.) MODSIM 2005 International Congress on Modelling and Simulation. Modelling and Simulation Society of Australia and New Zealand, 12-15 December 2005, University of Melbourne, Australia.
Number of full-text downloads 172
Number of citations in Scopus 1

Campbell, Alexander B., Pham, Binh L., & Tian, Yu-Chu (2006) A framework for spatio-temporal data analysis and hypothesis exploration. In Voinov, Alexey, Jakeman, Anthony, & Rizzoli, Andrea (Eds.) iEMSs Third Biennial Meeting, "Summit on Environmental Modelling and Software", 9-13 July 2006, Burlington, USA.
Number of full-text downloads 215

Ford, Jason J. & Dower, Peter M. (2004) Optimal stopping and hard terminal constraints applied to a missile guidance problem. In 2004 Asian Control Conference, July 2004, Melbourne.
Number of full-text downloads 1,015

Salim, Flora, Loke, Seng Wai, Rakotonirainy, Andry, & Krishnaswamy, Shonali (2007) U & I aware: A framework using data mining and collision detection to increase awareness for intersection users. In 21st International Conference on Advanced Information Networking and Applications Workshopes, 21-23 May 2007, Niagara Falls, Canada.
Number of full-text downloads 246
Number of citations in Scopus 3
Number of citations in Web of Science® 1

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.

Conference Item

Lin, Tian Ran, O'Shea, Peter J., & Mechefske, Chris K. (2008) Modal Sound Radiation from Finite Cylindrical Shells. In 16th International Society for Magnetic Resonance in Medicine, 3-9, May 2008, Toronto, Canada.

This list was generated on Sat Nov 29 09:13:00 2014 EST.