Numerical Solution of Newell-Whitehead-Segel Equation

Document Type : Research Paper


1 School of Mathematics and Computer Science, Damghan University, Damghan, Iran

2 Department of Mathematics, Semnan University, Semnan, Iran.

3 Department of Biology, Payam Noor University of Isfahan, Isfahan, Iran.

4 Faculty of Psychology, Islamic Azad University, Karaj Branch.


The Newell-Whitehead-Segel (NWS) equation is an important model arising in fluid mechanics. Various researchers worked on approximate solutions to this model by using different methods. In this paper, the Sine-Cosine wavelets method is applied for solving numerically the NWS equation. The Sine-Cosine wavelet operational matrix of integration is obtained and used to transform the equations into a system of algebraic equations. To demonstrate the effectiveness and applicability of this method, two numerical examples are included.


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