Open AccessAPPLICATION OF HIGHER ORDER HAAR WAVELET METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS
Author(s) -
Mart Ratas,
Andrus Salupere
Publication year - 2020
Publication title -
mathematical modelling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/mma.2020.11112
Subject(s) - haar wavelet , wavelet , mathematics , haar , nonlinear system , burgers' equation , order (exchange) , discrete wavelet transform , mathematical analysis , wavelet transform , partial differential equation , computer science , physics , artificial intelligence , finance , quantum mechanics , economics
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.
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