Year: 2013
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 3 : pp. 197–207
Abstract
In this paper, we suggest a method for solving Fredholm integral equation of the first kind based on wavelet basis. The continuous Legendre and Chebyshev wavelets of the first, second, third and fourth kind on $[0,1]$ are used and are utilized as a basis in Galerkin method to approximate the solution of integral equations. Then, in some examples the mentioned wavelets are compared with each other.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2013.v29.n3.1
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 3 : pp. 197–207
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: First kind Fredholm integral equation Galerkin and Modified Galerkin method Legendre wavelets Chebyshev wavelets.
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