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The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A method for approximating the solution of weakly singular Fredholm integral equation of the second kind with highly oscillatory trigonometric kernel is presented.
The unknown function is approximated by expansion of Chebychev polynomial and the coefficients are determinated by classical collocation method.
Due to the highly oscillatory kernels of integral equation, the discretised collocation equation will give rise to the computation of oscillatory integrals.
These integrals are calculated by using recursion formula derived from the fundamental recurrence relation of Chebyshev polynomial.
The effectiveness and accuracy of the proposed method are tested by numerical examples.
American Psychological Association (APA)
Wu, Qinghua. 2014. The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-451645
Modern Language Association (MLA)
Wu, Qinghua. The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-451645
American Medical Association (AMA)
Wu, Qinghua. The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-451645
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451645