Approximate analytical solutions of Newell-Whitehead-Segel equation using a new iterative method

Abstract

The Newell-Whitehead-Segel equation is an important model arising in fluid mechanics. Various researchers worked on approximate solution of this model by using different methods. In this paper, we use New Iterative Method (NIM) proposed by Daftardar-Gejji and Jafari for the same purpose. We use software Mathematica 10 for computations. The results obtained by NIM are compared with exact solutions and those obtained by other iterative methods such as Laplace Adomian decomposition method (LADM) and Adomian decomposition method (ADM). It is observed that NIM is simple as compared with other methods. The solutions obtained using NIM are in well agreement with exact solution and permit very less error.