Application of nonuniform Haar wavelets for solving integral and differential equations

Ü. Lepik

doi:10.1117/12.736416

2 October 2007 Application of nonuniform Haar wavelets for solving integral and differential equations

Ü. Lepik

Proceedings Volume 6763, Wavelet Applications in Industrial Processing V; 676306 (2007) https://doi.org/10.1117/12.736416
Event: Optics East, 2007, Boston, MA, United States

Abstract

A modification of the Haar wavelet method, for which the stepsize of the argument is variable, is proposed. To establish the efficiency of the method three test problems, for which exact solution is known, are considered. Computer simulations show clear preference of the suggested method compared with the Haar wavelet method of a constant stepsize.

Citation Download Citation

Ü. Lepik "Application of nonuniform Haar wavelets for solving integral and differential equations", Proc. SPIE 6763, Wavelet Applications in Industrial Processing V, 676306 (2 October 2007); https://doi.org/10.1117/12.736416

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