%0 Journal Article %T Solution of Newell-Whitehead-Segel equation by variational iteration method with He's polynomials %A Nadeem, Muhammad %A Yao, Shao-Wen %A Parveen, Nusrat %J Journal of Mathematics and Computer Science %D 2020 %V 20 %N 1 %@ ISSN 2008-949X %F Nadeem2020 %X This article seeks to extend the variational iteration method (VIM) with He's polynomials for the approximate solution of nonlinear Newell-Whitehead-Segel equation (NWSE). Lagrange multiplier in correction functional is determined with the help of variational theory, and then homotopy perturbation method (HPM) is employed to dissolve the nonlinear terms. Thus a successful series is obtained with these iterations which are termed as He's polynomials. Result shows that this method is highly accurate and comes closer very quickly to the exact solution. We formulate three possible cases of NWSE to show the capability and ability of the present method. 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