%0 Journal Article %1 alsawoor2014modification %A Al-Sawoor, Ann J. %A Al-Amr, Mohammed O. %D 2014 %J Journal of the Egyptian Mathematical Society %K Adomian’s auxiliary fast iteration method parameter polynomials reaction reaction-diffusion reversible system variational %T A New Modification of Variational Iteration Method for Solving Reaction-Diffusion System with Fast Reversible Reaction %U http://www.sciencedirect.com/science/article/pii/S1110256X13001521 %X 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 has a remarkable accuracy for large domains.

@article{alsawoor2014modification, 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 has a remarkable accuracy for large domains.}, added-at = {2014-03-06T14:21:20.000+0100}, author = {Al-Sawoor, Ann J. and Al-Amr, Mohammed O.}, biburl = {https://www.bibsonomy.org/bibtex/223817b09484e1e0c113538d1a8324f2b/mohammedalamr}, interhash = {9d94e220e87fc8f4bcefbf855f20a75e}, intrahash = {23817b09484e1e0c113538d1a8324f2b}, journal = {Journal of the Egyptian Mathematical Society}, keywords = {Adomian’s auxiliary fast iteration method parameter polynomials reaction reaction-diffusion reversible system variational}, timestamp = {2014-03-06T14:21:20.000+0100}, title = {A New Modification of Variational Iteration Method for Solving Reaction-Diffusion System with Fast Reversible Reaction}, url = {http://www.sciencedirect.com/science/article/pii/S1110256X13001521}, year = 2014 }