Keywords:-

Keywords: Stratified Boussinesq equations, Adomian Polynomials, Coupled Differential Equations, Integrable systems.

Article Content:-

Abstract

In this paper, we have proposed the numerical solutions of the system of six coupled nonlinear Ordinary Differential Equations (ODEs), which are obtained by reducing stratified Boussinesq Equations. We have obtained the numerical solutions on unstable and stable manifolds by Adomian Decomposition Method (ADM). The minimum error in the solution is of the order 10-6. This error can be reduced by reducing size of interval. We have used MATHEMATICA 9 for programming and calculations. We have compared the results with Euler Modified Method (EMM also referred as Modified Euler Method (MEM)) and Runge- Kutta Fourth Order (RK4) Method.

References:-

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Ph. D., B. S. D. , & M. Sc., N. R. D. ,. (2015). Numerical Solution to System of Six Coupled Nonlinear ODEs by Adomian Decomposition Method. International Journal Of Mathematics And Computer Research, 3(02), 876-887. Retrieved from http://ijmcr.in/index.php/ijmcr/article/view/81