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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