In this paper, we study numerical solution of the Newell-Whitehead equation (NWE) by using Adomian's method (ADM) and Multiquadric quasi-interpolation method. ADM has been extensively used to solve linear and nonlinear problems arising many interesting physical and engineering applications. NWE is derived to describe the envelope of modulated roll-solution in systems with two large extended or unbounded space directions. We will show the results with an example. © 2010 Published by Elsevier Ltd.
Ezzati, R., & Shakibi, K. (2011). Using adomian’s decomposition and multiquadric quasi-interpolation methods for solving newell-whitehead equation. In Procedia Computer Science (Vol. 3, pp. 1043–1048). https://doi.org/10.1016/j.procs.2010.12.171