A Method for Solving Fredholm Integral Equations of the First Kind Based on Chebyshev Wavelets

A Method for Solving Fredholm Integral Equations of the First Kind Based on Chebyshev Wavelets

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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