Application of higher order Haar wavelet method for solving nonlinear evolution equations

The recently introduced higher order Haar wavelet method is treated for solving evolution equations. The wave equation, the Burgers’ equations and the Korteweg-de Vries equation are considered as model problems. The detailed analysis of the accuracy of the Haar wavelet method and the higher order Ha...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 25; no. 2; pp. 271 - 288
Main Authors Ratas, Mart, Salupere, Andrus
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 01.03.2020
Subjects
Chaos theory
Differential equations
evolution equations
Exact solutions
Haar wavelets
higher order wavelet expansion
Methods
Nonlinear equations
Nonlinear evolution equations
Nonlinear programming
Time
Wave equations
Wavelet analysis
higher order wavelet expansion
Haar wavelets
evolution equations
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Summary:The recently introduced higher order Haar wavelet method is treated for solving evolution equations. The wave equation, the Burgers’ equations and the Korteweg-de Vries equation are considered as model problems. The detailed analysis of the accuracy of the Haar wavelet method and the higher order Haar wavelet method is performed. The obtained results are validated against the exact solutions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2020.11112