Abstract
In this paper, a comparative study of recently developed numerical methods in solving nonlinear Newell-–Whitehead—Segel equations is carried out. Results computed using Variational iteration method (VIM) are compared with Adomian decomposition method (ADM), iterative method and the exact results. The numerical results obtained by VIM are discussed with the help of different figures and tables. The plotted graph and numerical results show accuracy and efficiency of this method in solving nonlinear equations.