Perturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model Equations
Grace O. Akinlabi1 & Sunday O. Edeki1 Show affiliations
- Covenant University, Nigeria
Journal of Mathematics and Statistics, Volume 13, Issue 1, pp. 24–29 · doi.org/10.3844/jmssp.2017.24.29
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.
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Akinlabi, G. O. & Edeki, S. O. (2017). Perturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model Equations. Journal of Mathematics and Statistics, 13(1), 24–29. https://doi.org/10.3844/jmssp.2017.24.29
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