Numerical Solution of a Reaction-Diffusion System with Fast Reversible Reaction by Using Adomian’s Decomposition Method and He’s Variational Iteration Method
A. Al-Sawoor, and M. Al-Amr. Al-Rafidain Journal of Computer Sciences and Mathematics, 9 (2):
243-257(December 2012)
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.
%0 Journal Article
%1 alsawoor2012numerical
%A Al-Sawoor, Ann J.
%A Al-Amr, Mohammed O.
%D 2012
%J Al-Rafidain Journal of Computer Sciences and Mathematics
%K Adomian decomposition fast iteration method reaction reaction-diffusion reversible system variational
%N 2
%P 243-257
%T Numerical Solution of a Reaction-Diffusion System with Fast Reversible Reaction by Using Adomian’s Decomposition Method and He’s Variational Iteration Method
%U http://www.iasj.net/iasj?func=fulltext&aId=66290
%V 9
%X 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.
@article{alsawoor2012numerical,
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.},
added-at = {2014-03-06T14:10:48.000+0100},
author = {Al-Sawoor, Ann J. and Al-Amr, Mohammed O.},
biburl = {https://www.bibsonomy.org/bibtex/259f9ebbd9c9e5c224f3416efb742840b/mohammedalamr},
interhash = {3c10999ede81aca6deb5b944a9150167},
intrahash = {59f9ebbd9c9e5c224f3416efb742840b},
journal = {Al-Rafidain Journal of Computer Sciences and Mathematics},
keywords = {Adomian decomposition fast iteration method reaction reaction-diffusion reversible system variational},
month = dec,
number = 2,
pages = {243-257},
timestamp = {2014-03-06T14:10:48.000+0100},
title = {Numerical Solution of a Reaction-Diffusion System with Fast Reversible Reaction by Using Adomian’s Decomposition Method and He’s Variational Iteration Method},
url = {http://www.iasj.net/iasj?func=fulltext&aId=66290},
volume = 9,
year = 2012
}