On the solution of Fredholm-Volterra integral equation with discontinuous kernel in time.
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 4
Abstract
The existence of a unique solution of Fredholm-Volterra integral equation (F-VIE) under certain conditions, are discussed and proved. The Fredholm integral term (FIT) is considered in position with continuous kernel, while the Volterra integral term (VIT) in time with singular kernel. Using a numerical method, the F-VIE is transformed to a linear system of Volterra integral equations (LSVIEs). Then after using Toeplitz matrix method (TMM), we have a linear algebraic system (LAS). Finally, two applications are given, numerical results are obtained, and the error, in each case, is calculated.
Authors and Affiliations
Sameeha Ali Raad, M. A. Abdou, M. M. El - Kojok
Keywords
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- EP ID EP651399
- DOI 10.24297/jam.v9i4.2395
- Views 166
- Downloads 0
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