Journal of the Ramanujan Mathematical Society

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An Efficient Numerical Method for Solving Chaotic and Non-Chaotic Systems


Affiliations
1 Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan
2 Department of Basic Sciences, Princess Sumaya University for Technology, Amman 11941, Jordan
3 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
     

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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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  • An Efficient Numerical Method for Solving Chaotic and Non-Chaotic Systems

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Authors

Banan Maayah
Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan
Samia Bushnaq
Department of Basic Sciences, Princess Sumaya University for Technology, Amman 11941, Jordan
Ahmed Alsaedi
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Shaher Momani
Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan

Abstract


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.

References