Numerical solution of evolution equations by the Haar wavelet method

By Ü. Lepik. Applied Mathematics and Computation, 2007

299 citations recorded by the source corpus.

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An Overview of Haar Wavelet Method for Solving Differential and Integral Equations (2013, methodology): “Lepik [25-38] introduced numerical solution of differential equations with higher order, integral equations and two dimensional partial differential equations using Haar wavelet method.”
A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets (2013, unknown): “[17,19,20,16,21–23].”
Numerical solution of differential equations by using Haar wavelets (2007, methodology): “Then, the pioneer work in state analysis of linear time delayed systems via Haar wavelets was laid down by Hsiao[2], who first proposed a Haar product matrix and a coefficient matrix.”
Haar wavelet method for solving some nonlinear Parabolic equations (2010, methodology): “Lepik [16–18] had solved higher order as well as nonlinear ODEs and some nonlinear evolution equations by Haar wavelet method.”
A Comparative Study of a Haar Wavelet Method and a Restrictive Taylor's Series Method for Solving Convection-diffusion Equations (2010, methodology): “Recently, Lepik [17–19] established the Haar wavelet method for solving some ODEs and PDEs.”
Application of the Haar wavelet transform to solving integral and differential equations (2007, methodology): “Papers on solving ODEs and PDEs by the wavelet methods are quite numerous and it is not possible to cite all of them (some information can be found, e.g., in [34; 35 ]).”