Chebyshev Wavelet Method for Numerical Solution of Fredholm Integral Equations of the First Kind
Joint Authors
Assari, Pouria
Adibi, Hojatollah
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-28
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A computational method for solving Fredholm integral equations of the first kind is presented.
The method utilizes Chebyshev wavelets constructed on the unit interval as basis in Galerkin method and reduces solving the integral equation to solving a system of algebraic equations.
The properties of Chebyshev wavelets are used to make the wavelet coefficient matrices sparse which eventually leads to the sparsity of the coefficients matrix of obtained system.
Finally, numerical examples are presented to show the validity and efficiency of the technique.
American Psychological Association (APA)
Adibi, Hojatollah& Assari, Pouria. 2010. Chebyshev Wavelet Method for Numerical Solution of Fredholm Integral Equations of the First Kind. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-448752
Modern Language Association (MLA)
Adibi, Hojatollah& Assari, Pouria. Chebyshev Wavelet Method for Numerical Solution of Fredholm Integral Equations of the First Kind. Mathematical Problems in Engineering No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-448752
American Medical Association (AMA)
Adibi, Hojatollah& Assari, Pouria. Chebyshev Wavelet Method for Numerical Solution of Fredholm Integral Equations of the First Kind. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-448752
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448752