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

Mart Ratas, Andrus Salupere

Mathematical Modelling and Analysis · 2020

doi:10.3846/mma.2020.11112 (opens in a new tab)

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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.

Abstract licence: CC BY

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