Numerical implementation of a Brakhage-like technique for weakly singular integral equations using product integration

Document Type

Article

Publication Date

9-1993

Department

Department of Computer Science

Abstract

We consider Fredholm integral equations of the form f = g + Lf with weakly singular kernels (both logarithmic and algebraic). This type of equation appears in the formulation of many engineering and physics problems (see [1, p. 529]). We investigate the use of a Brakhage-like iterative technique coupled with product integration to solve numerically a variety of such equations. Several orders of magnitude of improvement were obtained for smooth solutions, but the method also worked well in the more severe cases.

Publication Title

Computers and Mathematics with Applications

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