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Perturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model Equations

Akinlabi, G. O. and Edeki, S.O. (2017) Perturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model Equations. Journal of Mathematics and Statistics.

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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

Item Type: Article
Uncontrolled Keywords: Newell-Whitehead-Segel Equation, Perturbation Iteration Technique, Laplace Transform, PITM
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Hannah Akinwumi
Date Deposited: 22 Jun 2017 10:02
Last Modified: 22 Jun 2017 10:02
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/8438

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