Parallel solution of Fredholm integral equations of the second kind by orthogonal polynomial expansions (Q1122352)
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scientific article; zbMATH DE number 4106239
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parallel solution of Fredholm integral equations of the second kind by orthogonal polynomial expansions |
scientific article; zbMATH DE number 4106239 |
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Parallel solution of Fredholm integral equations of the second kind by orthogonal polynomial expansions (English)
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1989
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Fredholm integral equations of the second kind are solved using the Nyström method, the perturbed Galerkin method and the perturbed collocation method. The integral transformation operator is substituted by an n-point quadrature operator for the presentation of the equivalence of Nyström, Galerkin and collocation methods. The convergence of the numerical solutions to the exact solutions is analyzed. A relevant parallel algorithm for the two-point boundary value problem is described.
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Fredholm integral equations of the second kind
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Nyström method
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perturbed Galerkin method
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perturbed collocation method
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convergence
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parallel algorithm
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