ON THE DYNAMICS OF SOME NUMERICAL METHODS-Reference-Cited by-同舟云学术

ON THE DYNAMICS OF SOME NUMERICAL METHODS

Published:2000-10 Issue:07 Volume:11 Page:1481-1487
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

AHMED E.¹²,HEGAZI A. S.²

Affiliation:

1. Mathematics Department, Faculty of Sciences, Al-Ain P. O. Box 17551, U. A. E.

2. Mathematics Department, Faculty of Sciences, Mansoura 35516, Egypt

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183100001310

Reference3 articles.

1. Continuous newton’s method for polynomials

2. Newton’s Algorithm and Chaotic Dynamical Systems

3. Nonlinear Instability in Dissipative Finite Difference Schemes

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