Numerical implementation of a Brakhage-like technique for weakly singular integral equations using product integration (Q1309733)
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scientific article; zbMATH DE number 474521
| Language | Label | Description | Also known as |
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| English | Numerical implementation of a Brakhage-like technique for weakly singular integral equations using product integration |
scientific article; zbMATH DE number 474521 |
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Numerical implementation of a Brakhage-like technique for weakly singular integral equations using product integration (English)
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3 May 1994
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The author considers second kind Fredholm integral equations on a finite interval with weakly singular kernels (both logarithmic and algebraic). He applies the Brakhage iterative technique coupled with product integration using quadratic interpolation at equally spaced nodes. The paper discusses the numerical implementation of this method and presents a variety of numerical examples showing a considerable improvement of the original product integration solutions.
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Brakhage iterative method
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second kind Fredholm integral equations
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weakly singular kernels
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product integration
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quadratic interpolation
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numerical examples
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