Volume 29, Issue 3
A Method for Solving Fredholm Integral Equations of the First Kind Based on Chebyshev Wavelets

Anal. Theory Appl., 29 (2013), pp. 197-207.

Published online: 2013-07

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• 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.

• Keywords

First kind Fredholm integral equation, Galerkin and Modified Galerkin method, Legendre wavelets, Chebyshev wavelets.

65R20, 65T60

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• RIS
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@Article{ATA-29-197, author = {}, title = {A Method for Solving Fredholm Integral Equations of the First Kind Based on Chebyshev Wavelets}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {3}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n3.1}, url = {http://global-sci.org/intro/article_detail/ata/5057.html} }
TY - JOUR T1 - A Method for Solving Fredholm Integral Equations of the First Kind Based on Chebyshev Wavelets JO - Analysis in Theory and Applications VL - 3 SP - 197 EP - 207 PY - 2013 DA - 2013/07 SN - 29 DO - http://doi.org/10.4208/ata.2013.v29.n3.1 UR - https://global-sci.org/intro/article_detail/ata/5057.html KW - First kind Fredholm integral equation, Galerkin and Modified Galerkin method, Legendre wavelets, Chebyshev wavelets. AB -

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.

M. A. Fariborzi Araghi & M. Bahmanpour. (1970). A Method for Solving Fredholm Integral Equations of the First Kind Based on Chebyshev Wavelets. Analysis in Theory and Applications. 29 (3). 197-207. doi:10.4208/ata.2013.v29.n3.1
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