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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Applied Mathematics

2012

SelectedWorks

Mohammed O. Al-Amr

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Full-Text Articles in Physical Sciences and Mathematics

Numerical Solution Of A Reaction-Diffusion System With Fast Reversible Reaction By Using Adomian’S Decomposition Method And He’S Variational Iteration Method, Ann J. Al-Sawoor Ph.D., Mohammed O. Al-Amr M.Sc. Dec 2012

Numerical Solution Of A Reaction-Diffusion System With Fast Reversible Reaction By Using Adomian’S Decomposition Method And He’S Variational Iteration Method, Ann J. Al-Sawoor Ph.D., Mohammed O. Al-Amr M.Sc.

Mohammed O. Al-Amr

In this paper, the approximate solution of a reaction-diffusion system with fast reversible reaction is obtained by using Adomian decomposition method (ADM) and variational iteration method (VIM) which are two powerful methods that were recently developed. The VIM requires the evaluation of the Lagrange multiplier, whereas ADM requires the evaluation of the Adomian polynomials. The behavior of the approximate solutions and the effects of different values of t are shown graphically.