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

In: Approximation and Computation in Science and Engineering

Author

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  • E. Providas

    (University of Thessaly)

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.

Suggested Citation

  • E. Providas, 2022. "Approximate Solution of Fredholm Integral and Integro-Differential Equations with Non-Separable Kernels," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Approximation and Computation in Science and Engineering, pages 693-708, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-84122-5_38
    DOI: 10.1007/978-3-030-84122-5_38
    as

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