Numerical solution of two-dimensional first kind Fredholm integral equations by using linear Legendre wavelet-Reference-Cited by-同舟云学术

Numerical solution of two-dimensional first kind Fredholm integral equations by using linear Legendre wavelet

Published:2016-01 Issue:01 Volume:14 Page:1650004
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

Tahami M.¹,Askari Hemmat A.²,Yousefi S. A.³

Affiliation:

1. Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

2. Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

3. Department of Mathematics, Shahid Beheshti University, G. C. Tehran, Iran

Abstract

In one-dimensional problems, the Legendre wavelets are good candidates for approximation. In this paper, we present a numerical method for solving two-dimensional first kind Fredholm integral equation. The method is based upon two-dimensional linear Legendre wavelet basis approximation. By applying tensor product of one-dimensional linear Legendre wavelet we construct a two-dimensional wavelet. Finally, we give some numerical examples.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691316500041

Reference15 articles.

1. Two-Dimensional Wavelets and their Relatives

2. The Numerical Solution of Integral Equations of the Second Kind

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