Perturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model Equations
General Mathematics
2017-03-21 v1
Abstract
In this study, a computational method referred to as Perturbation Iteration Transform Method (PITM), which is a combination of the conventional Laplace Transform Method (LTM) and the Perturbation Iteration Algorithm (PIA) is applied for the solution of Newell-Whitehead- Segel Equations (NWSEs). Three unique examples are considered and the results obtained are compared with their exact solutions graphically. Also, the results agree with those obtained via other semi-analytical methods viz: New Iterative Method and Adomian Decomposition Method. This present method proves to be very efficient and reliable. Mathematica 10 is used for all the computations in this study.
Keywords
Cite
@article{arxiv.1703.06745,
title = {Perturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model Equations},
author = {Grace O. Akinlabi and Sunday O. Edeki},
journal= {arXiv preprint arXiv:1703.06745},
year = {2017}
}
Comments
10 pages, Journal of Mathematics and Statistics