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Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method

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  • Salem Alkhalaf

Abstract

The objective of this paper is to investigate the effectiveness and performance of optimal homotopy asymptotic method in solving a system of nonlinear partial differential equations. Since mathematical modeling of certain chemical reaction-diffusion experiments leads to Brusselator equations, it is worth demanding a new technique to solve such a system. We construct a new efficient recurrent relation to solve nonlinear Brusselator system of equations. It is observed that the method is easy to implement and quite valuable for handling nonlinear system of partial differential equations and yielding excellent results at minimum computational cost. Analytical solutions of Brusselator system are presented to demonstrate the viability and practical usefulness of the method. The results reveal that the method is explicit, effective, and easy to use.

Suggested Citation

  • Salem Alkhalaf, 2017. "Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-8, February.
    • Handle: RePEc:hin:jnlamp:3895701
    DOI: 10.1155/2017/3895701
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    Cited by:

    1. H. M. Younas & Muhammad Mustahsan & Tareq Manzoor & Nadeem Salamat & S. Iqbal, 2019. "Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method," Mathematics, MDPI, vol. 7(3), pages 1-19, March.

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