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: 48.

A

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 83
Number of citations in Scopus 15
Number of citations in Web of Science® 12

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

C

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 394
Number of citations in Scopus 14

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 205
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 232

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 671
Number of citations in Scopus 131
Number of citations in Web of Science® 121

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 570
Number of citations in Scopus 61
Number of citations in Web of Science® 57

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 43
Number of citations in Web of Science® 38

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 273
Number of citations in Scopus 70
Number of citations in Web of Science® 64

Chirilus-Bruckner, Martina, Doelman, Arjen, van Heijster, Peter, & Rademacher, Jens D.M. (2015) Butterfly catastrophe for fronts in a three-component reaction–diffusion system. Journal of Nonlinear Science, 25(1), pp. 87-129.

F

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 1,068

H

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 302
Number of citations in Scopus 36
Number of citations in Web of Science® 29

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 1,031
Number of citations in Scopus 51

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 426
Number of citations in Scopus 12

L

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 286
Number of citations in Scopus 36
Number of citations in Web of Science® 33

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 257
Number of citations in Scopus 6
Number of citations in Web of Science® 3

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 14
Number of citations in Web of Science® 9

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.

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 22
Number of citations in Web of Science® 14

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 91
Number of citations in Scopus 20

M

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 3

S

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 284
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.

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 647
Number of citations in Scopus 7

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 86
Number of citations in Scopus 9
Number of citations in Web of Science® 8

T

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 250
Number of citations in Scopus 39
Number of citations in Web of Science® 28

V

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.
Number of citations in Web of Science® 1

Y

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 440

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 20
Number of citations in Web of Science® 17

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 213
Number of citations in Scopus 74
Number of citations in Web of Science® 59

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 338
Number of citations in Scopus 58
Number of citations in Web of Science® 45

Z

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 109
Number of citations in Scopus 4
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 125
Number of citations in Scopus 3
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 126
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 full-text downloads 18
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 212
Number of citations in Scopus 6
Number of citations in Web of Science® 4

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 142
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 176
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 617

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 67

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 301
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.
Number of citations in Scopus 5

This list was generated on Sat Aug 29 13:16:36 2015 AEST.