Two-Dimensional Wavelet with Matrix Dilation M = 2I and its Application in Solving Integral Equations.


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Authors: M. TAHAMI AND A. A. HEMMAT

DOI: 10.46793/KgJMat2204.649T

Abstract:

In this study, using a one-dimensionl MRA we constructed a two-dimensional wavelet as well as four masks which are not related to the MRA. Finally, we provide some examples to prove the applicability of our construction in case of finding numerical solution of two-dimensional first kind Fredholm integral equations.



Keywords:

Wavelet with matrix dilation, multiresolution analysis, integral equation.



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