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

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.