Abstract
AbstractThis 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.KeywordsFredholm integral equationsFredholm integro-differential equationsDirect computational methodDegenerate kernel methodNon-separable kernelsPower seriesApproximate solution
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