The Modified Variational Iteration Method on the Newell-Whitehead-Segel Equation Using He’s polynomials

Abstract

In this paper, we apply a modified version of the variational iteration method (MVIM) for solving Newell-Whitehead-Segel equation. The Newell-Whitehead-Segel equation models the interaction of the effect of the diffusion term with the nonlinear effect of the reaction term which appeared in the investigation of fluid dynamics. The proposed modification is made by introducing He’s polynomials in the correction functional of the variational iteration method. The use of Lagrange multiplier coupled with He’s polynomials are the clear advantages of this technique over the decomposition method

Keywords: Variational Iteration Method, He’s Polynomials, Newell-Whitehead-Segel equation, nonlinear differential equation.