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Article
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 (2012)
  • Ann J Al-Sawoor, Ph.D., University of Mosul
  • Mohammed O Al-Amr, M.Sc., University of Mosul
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 t are shown graphically.

Keywords
  • reaction-diffusion system,
  • fast reversible reaction,
  • Adomian decomposition method,
  • variational iteration method
Publication Date
Winter December 1, 2012
Citation Information
Ann J Al-Sawoor and Mohammed O Al-Amr. "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 Vol. 9 Iss. 2 (2012)
Available at: http://works.bepress.com/mohammed_al-amr/1/