Numerical Solution of Newell-Whitehead-Segel Partial Differential Equation by Finite Difference Methods

Authors

  • Sami Injrou
  • Ramez Karoum
  • Nayrouz Hilal

Abstract

 

This work presents two different finite difference methods, which are implicit finite difference method and fully implicit finite difference method to compute the numerical solutions for Newell-Whitehead-Segel partial differential equation. Newton's method is used in fully implicit finite difference scheme, because this scheme leads to a system of nonlinear equations. Two different problems are solved by the both previous proposed methods. The results show the accuracy of the numerical solution and its agreement with the exact solution.

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Published

2019-04-29

How to Cite

1.
Injrou S, Karoum R, Hilal N. Numerical Solution of Newell-Whitehead-Segel Partial Differential Equation by Finite Difference Methods. TUJ-BA [Internet]. 2019Apr.29 [cited 2024Dec.29];41(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/8651

Issue

Vol. 41 No. 2 (2019): العلوم الأساسية

Section

Articles

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