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

M. A. Fariborzi Araghi & M. Bahmanpour

DOI: 10.4208/ata.2013.v29.n3.1

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.

  • AMS Subject Headings

65R20, 65T60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-29-197, author = {M. A. Fariborzi Araghi and M. Bahmanpour}, 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 AU - M. A. Fariborzi Araghi & M. Bahmanpour 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 and M. Bahmanpour. (2013). 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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