NUMERICAL TREATMENT OF NEWELL-WHITEHEAD-SEGEL EQUATION

NUMERICAL TREATMENT OF NEWELL-WHITEHEAD-SEGEL EQUATION

S. Gupta, M. Goyal, A. Prakash

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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 dierent gures and tables. The plotted graph and numerical results show accuracy and eciency of this method in solving nonlinear equations.

Keywords

Variational iteration method, Newell-{Whitehead-{Segel equation, He's polynomials, Lagrange's multiplier