A Semi-Analytical Method for The Solution of Linear And Nonlinear Newell-Whitehead-Segel Equations

  • Sunday Emmanuel Fadugba Department of Mathematics, Ekiti State University,
Keywords: Exact solution, Linear and nonlinear equation, Newell-Whitehead-Segel equation, Reduced differential transform, Semi-analytical method

Abstract

The aim of this work is to use a semi-analytical method “Reduced Differential Transform Method (RDTM)” for the solution of linear and nonlinear Newell-Whitehead-Segel Equations (NWSE). RDTM does not require linearization, transformation, discretization, perturbation or restrictive assumptions. To determine the performance measure of the RDTM, two illustrative examples were considered. The comparative study of the results obtained via the RDTM was compared with that of the exact solution. Hence, RDTM offers solutions with easily computable components as convergent series and is an alternative approach that overcomes the shortcoming of complex calculations of differential transform method.

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Published
2018-12-30
How to Cite
Fadugba, S. (2018). A Semi-Analytical Method for The Solution of Linear And Nonlinear Newell-Whitehead-Segel Equations. MathLAB Journal, 1(3), 251-258. Retrieved from http://purkh.com/index.php/mathlab/article/view/140
Section
Research Articles