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. © 2018 Ramanujan Mathematical Society. All Rights Reserved.

Shaher Mohammad Ahmad Momani

Department of Mathematics and Sciences

College of Humanities and Sciences

Maayah B.

Bushnaq S.

Ahmed Alsaedi

Founded in 1988 as the first private institution of higher education in the United Arab Emirates and the Gulf region, Ajman University (AU) is now being recognized as an emerging leader on the global academic map.

The 2020 QS World University Rankings lists AU in the top 800 universities globally and among the top 10 worldwide for international students and faculty! The &ldquo;Top 50 Under 50&rdquo; QS Rankings names AU as one of the top 150 young universities in the world. Even our distinct location in the Dubai/Sharjah/Ajman corridor is ranked by QS as the 61st best student destination on the planet. Recently, Ajman University earned Five QS Stars in three ratings categories -- Social Responsibility, Inclusiveness and Learning Environment. We also garnered Four QS Stars for both Teaching and Internationalization.

Journal	Journal of the Ramanujan Mathematical Society
Publisher	Ramanujan Mathematical Society
ISSN	09701249
Open Access	No