ANALYTICAL SOLUTION OF LORENZ EQUATION USING HOMOTOPY ANALYSIS METHOD

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Published: Jul 25, 2013

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L. Rajendran

Abstract

In this study, a dynamical system of Lorenz equation is discussed. The main aim of this paper is to describe the nonlinear dynamics for the better understanding in biomedical field. Approximate analytical solution of Lorenz equation is obtained by using the Homotopy analysis method (HAM).  Furthermore, in this work the numerical simulation of the problem is also reported using Scilab/Matlab program.  An agreement between analytical and numerical results is noted.

 

Keywords: Lorenz equation, Homotopy analysis method, Mathematical modeling, Non-linear equation.

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How to Cite
Rajendran, L. (2013). ANALYTICAL SOLUTION OF LORENZ EQUATION USING HOMOTOPY ANALYSIS METHOD. Journal of Global Research in Mathematical Archives(JGRMA), 1(6), 14–26. Retrieved from https://jgrma.com/index.php/jgrma/article/view/74
Issue
Vol. 1 No. 6 (2013): June-2013
Section
Research Paper
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