Applied Mathematical Sciences, Vol. 7, 2013, no. 132, 6593 - 6600 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ams.2013.310603 Laplace Adomian Decomposition Method for Solving Newell-Whitehead-Segel Equation P. Pue-on Department of Mathematics, Faculty of Science Mahasarakham University, Mahasarakham, 44150, Thailand prapart.p@msu.ac.th Copyright c  2013 P. Pue-on. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this manuscript, the Laplace Adomian decomposition method (LADM) is presented to solve Newell-Whitehead-Segel equation. The method can be applied to linear and nonlinear problems. Some ex- amples have been carried out in order to illustrate the efficiency and reliability of the method. Mathematics Subject Classification: 35G25 Keywords: Newell-Whitehead-Segel equation, Laplace Adomian decom- position method 1 Introduction In natural phenomena, nonequilibrium systems are usually shown in many ex- tended states: uniform, oscillatory, chaotic, and pattern states. Many stripe patterns, e.g., ripples in sand, stripes of seashells, occure in a variety of spa- tially extended systems which can be described by a set of equation called amplitude equations. One of the most important of amplitude equations is the Newell-Whitehead-Segel equation which describes the appearance of the stripe pattern in two dimensional systems. Moreover, this equation was applied to a number of problem in a variety systems, e.g.,Rayleigh-Benard convection, Fara- day instability, nonlinear optics, chemical reactions and biological systems. In