Solution of mixed integral equation in position and time using spectral relationships
Joint Authors
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 23, Issue 0 (30 Jun. 2017), pp.52-56, 5 p.
Publisher
University of Bahrain College of Science
Publication Date
2017-06-30
Country of Publication
Bahrain
No. of Pages
5
Main Subjects
Topics
Abstract EN
In this article, the existence of a unique solution of Fredholm–Volterra integral equation of the second kind is guaranteed.
The Fredholm integral term is assumed in position with bad kernel, while the Volterra integral term is considered in time with continuous kernel.
Under certain conditions and new discussions, the bad kernel will tend to a logarithmic kernel.
Then, using Chebyshev polynomial, a main theorem of spectral relationships of Fredholm integral equation of the first kind with logarithmic kernel multiplying by a smooth kernel is stated and used to obtain numerically the Fredholm–Volterra integral equation of the second kind.
Finally, numerical results are obtained and the error, in each case, is computed.
American Psychological Association (APA)
Abdu, M. A.& Basim, M.. 2017. Solution of mixed integral equation in position and time using spectral relationships. Arab Journal of Basic and Applied Sciences،Vol. 23, no. 0, pp.52-56.
https://search.emarefa.net/detail/BIM-766173
Modern Language Association (MLA)
Abdu, M. A.& Basim, M.. Solution of mixed integral equation in position and time using spectral relationships. Arab Journal of Basic and Applied Sciences Vol. 23 (Jun. 2017), pp.52-56.
https://search.emarefa.net/detail/BIM-766173
American Medical Association (AMA)
Abdu, M. A.& Basim, M.. Solution of mixed integral equation in position and time using spectral relationships. Arab Journal of Basic and Applied Sciences. 2017. Vol. 23, no. 0, pp.52-56.
https://search.emarefa.net/detail/BIM-766173
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 56
Record ID
BIM-766173