Spline-methods to solve certain class of weakly singular integral equations (Q1897916)
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scientific article; zbMATH DE number 794568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spline-methods to solve certain class of weakly singular integral equations |
scientific article; zbMATH DE number 794568 |
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Spline-methods to solve certain class of weakly singular integral equations (English)
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17 September 1995
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The paper deals with one-dimensional weakly singular integral equations studied already in great detail in the literature. Here structural properties of the integral operator with integrable potential and fixed singularities in \(C[0,1]\) and in weighted \(L^p\)-spaces are given. Further the convergence of collocation with piecewise linear functions and the Galerkin method with piecewise constant functions are investigated.
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subdomain method
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spline methods
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weakly singular integral equations
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convergence
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collocation
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Galerkin method
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