Al-Sawoor, A., Al-Amr, M. (2014). A new modification of variational iteration method for solving reaction–diffusion system with fast reversible reaction. test, 22(3), 396-401.
Ann J. Al-Sawoor; Mohammed O. Al-Amr. "A new modification of variational iteration method for solving reaction–diffusion system with fast reversible reaction". test, 22, 3, 2014, 396-401.
Al-Sawoor, A., Al-Amr, M. (2014). 'A new modification of variational iteration method for solving reaction–diffusion system with fast reversible reaction', test, 22(3), pp. 396-401.
Al-Sawoor, A., Al-Amr, M. A new modification of variational iteration method for solving reaction–diffusion system with fast reversible reaction. test, 2014; 22(3): 396-401.

A new modification of variational iteration method for solving reaction–diffusion system with fast reversible reaction

Journal of the Egyptian Mathematical Society
Volume 22, Issue 3, October 2014, Pages 396-401    PDF (1.29 M)
Document Type: Original Article
Authors
Ann J. Al-Sawoor; Mohammed O. Al-Amr
Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul 41002, Iraq
Abstract
This paper presents a new modification of He’s variational iteration method using Adomian’s
polynomials (VIMAP) to solve reaction–diffusion system with fast reversible reaction. An
auxiliary parameter is introduced into the VIMAP and optimally identified to adjust the convergence region of the approximate solution. The results reveal that the VIMAP is very accurate comparing with those obtained by the VIM but is not valid for large solution domain, while the new modification have a remarkable accuracy for large domains.
Keywords
Reaction–diffusion system; Fast reversible reaction; Variational iteration method; Adomian’s polynomials; Auxiliary parameter
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