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Algebraic Kernel Method for Solving Fredholm Integral Equations

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Abstract:

In this paper, we study the exact solution of linear Fredholm integral equations using some classical methods including degenerate kernel method and Fredholm determinants method. We propose an analytical method for solving such integral equations. This work has some goals related to suggested technique for solving Fredholm integral equations. The primary goal gives analytical solutions of such equations with minimum steps. Another goal is to compare the suggested method used in this study with classical methods. The final goal is that the propose method is an explicit formula that can be studied in detail for non-algebraic function kernels by using Taylor series expansion and for system of Fredholm integral equations.

Info:

Periodical:
International Frontier Science Letters (Volume 7)
Pages:
25-33
DOI:
https://doi.org/10.18052/www.scipress.com/IFSL.7.25
Citation:
M. S. Hasso "Algebraic Kernel Method for Solving Fredholm Integral Equations", International Frontier Science Letters, Vol. 7, pp. 25-33, 2016
Online since:
Mar 2016
Authors:
Mohammad Shami Hasso
Keywords:
Fredholm Integral Equations, Methods for Solving Linear Fredholm Integral Equations
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

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DOI: https://doi.org/10.1007/978-3-642-21449-3_18
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