APPLICATION OF HIGHER ORDER HAAR WAVELET METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS-Reference-Cited by-同舟云学术

APPLICATION OF HIGHER ORDER HAAR WAVELET METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS

Published:2020-03-18 Issue:2 Volume:25 Page:271-288
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Ratas Mart¹^ORCID,Salupere Andrus¹^ORCID

Affiliation:

1. Department of Cybernetics, School of Science, Tallinn University of Technology, 12618 Tallinn, Estonia

Abstract

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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