ON THE DYNAMICS OF SOME NUMERICAL METHODS

E. Ahmed and A. S. Hegazi ()
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E. Ahmed: Mathematics Department, Faculty of Sciences, Al-Ain P. O. Box 17551, U. A. E.;
A. S. Hegazi: Mathematics Department, Faculty of Sciences, Mansoura 35516, Egypt

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 07, 1481-1487

Abstract: From numerical methods point of view of dynamical systems, we have determined dynamical behaviors of the corresponding systems (i.e., chaotic, stable, bifurcations possibility, etc.). New versions of numerical methods are derived and we have compared the dynamical behaviors of the continuous dynamical systems with their corresponding discrete dynamical systems. An application of partial differential equations is given for reaction-diffusion and telegraph equations.

Keywords: Numerical Methods; Behavior of Dynamical Systems (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100001310

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