Approximate Solution of Fredholm Integral and Integro-Differential Equations with Non-Separable Kernels

E. Providas ()
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E. Providas: University of Thessaly

A chapter in Approximation and Computation in Science and Engineering, 2022, pp 693-708 from Springer

Abstract: Abstract This chapter deals with the approximate solution of Fredholm integral equations and a type of integro-differential equations having non-separable kernels, as they appear in many applications. The procedure proposed consists of firstly approximating the non-separable kernel by a finite partial sum of a power series and then constructing the solution of the degenerate equation explicitly by a direct matrix method. The method, which is easily programmable in a computer algebra system, is explained and tested by solving several examples from the literature.

Keywords: Fredholm integral equations; Fredholm integro-differential equations; Direct computational method; Degenerate kernel method; Non-separable kernels; Power series; Approximate solution (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84122-5_38

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DOI: 10.1007/978-3-030-84122-5_38

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