Numerical Solution of a Reaction-Diffusion System with Fast Reversible Reaction by Using Adomian’s Decomposition Method and He’s Variational Iteration Method

Section: Research Paper
Published
Jun 25, 2025
Pages
243-257

Abstract

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 are shown graphically.

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Jalal, A., آن, O. Al-Amr, M., & محمد. (2025). Numerical Solution of a Reaction-Diffusion System with Fast Reversible Reaction by Using Adomian’s Decomposition Method and He’s Variational Iteration Method. AL-Rafidain Journal of Computer Sciences and Mathematics, 9(2), 243–257. Retrieved from https://rjps.uomosul.edu.iq/index.php/csmj/article/view/19805