Numerical Solution of Newell-Whitehead-Segel Equation

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_GADM-6-2_012

تاریخ نمایه سازی: 30 مهر 1401

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.

Authors

Saedeh Foadian

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

Marzieh Khalili

Department of Mathematics, Semnan University, Semnan, Iran.

Zahra Khalili

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

Hasti Badamchi Zadeh

Faculty of Psychology, Islamic Azad University, Karaj Branch.

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