The approximate solution of singular integro-differential equations on smooth contours in the spaces \(L_p\) (Q1388087)
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scientific article; zbMATH DE number 1161153
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The approximate solution of singular integro-differential equations on smooth contours in the spaces \(L_p\) |
scientific article; zbMATH DE number 1161153 |
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The approximate solution of singular integro-differential equations on smooth contours in the spaces \(L_p\) (English)
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9 February 1999
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A theoretical foundation of the collocation method and mechanical quadrature method for singular integro-differential equations in the case when the equations are given on a closed contour satisfying some conditions of smoothness, without reducing them to the unit circle, is given. For the approximate solution by the collocation method the system of linear algebraic equations is constructed. The main theorem gives conditions for convergence to the exact solution. Error estimates are given, too.
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error estimates
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collocation method
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mechanical quadrature method
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singular integro-differential equations
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convergence
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