Journal of the Ramanujan Mathematical Society
Volume 33, Issue 3, September 2018 pp. 219–231.
An efficient numerical method for solving chaotic and non-chaotic systems
Authors:
Banan Maayah, Samia Bushnaq, Ahmed Alsaedi and Shaher Momani
Author institution:Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan
Summary:
In this article, a numerical scheme based on reproducing kernel
Hilbert space method, namely multistep reproducing kernel Hilbert
space method (MRKHSM), is devised to solve Chaotic and non-Chaotic
systems. This algorithm is applied to Chaotic and non-Chaotic
differential equations that model the Lotka-Voltera, Chen, Lorenz
and Rossler systems. The numerical results demonstrate that the
Multistep reproducing kernel Hilbert space method is reliable
method for solving nonlinear problems.
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