Title of article :
Numerical Solution of Newell-Whitehead-Segel Equation
Author/Authors :
Foadian ، Saedeh School of Mathematics and Computer Science - Damghan University , Khalili ، Marzieh Department of Mathematics - Semnan University , Khalili ، Zahra Department of Biology - Payam Noor University , Badamchi Zadeh ، Hasti Faculty of Psychology - Islamic Azad University, Karaj Branch
Abstract :
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.
Keywords :
Newell , Whitehead , Segel equation , Numerical method , Sine , Cosine wavelets , operational matrix , Function approximation
Journal title :
Global Analysis and Discrete Mathematics
Journal title :
Global Analysis and Discrete Mathematics
