University of Bahrain
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Solution of mixed integral equation in position and time using spectral relationships

Show simple item record Abdou, M.A. Basseem M., 2018-07-30T06:59:02Z 2018-07-30T06:59:02Z 2017-06
dc.identifier.issn 1815-3852
dc.description.abstract n 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. en_US
dc.language.iso en en_US
dc.publisher University of Bahrain en_US
dc.rights Attribution-NonCommercial-ShareAlike 4.0 International *
dc.rights.uri *
dc.subject Fredholm–Volterra integral equation (F–VIE)
dc.subject Chebyshev polynomial
dc.subject Logarithmic kernel
dc.subject Spectral relationships
dc.subject Linear algebraic system (LAS)
dc.title Solution of mixed integral equation in position and time using spectral relationships en_US
dc.type Article en_US
dc.volume 23
dc.issue 1
dc.pagestart 52
dc.pageend 56
dc.source.title Arab Journal of Basic and Applied Sciences
dc.abbreviatedsourcetitle AJBAS

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