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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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