Title

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

Document Type

Article

Publication Date

1-1-1993

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. © 1993.

Publication Title

Computers and Mathematics with Applications

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