A cubature method for solving one class of multidimensional weakly singular integral equations (Q1048361)
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scientific article; zbMATH DE number 5655838
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A cubature method for solving one class of multidimensional weakly singular integral equations |
scientific article; zbMATH DE number 5655838 |
Statements
A cubature method for solving one class of multidimensional weakly singular integral equations (English)
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12 January 2010
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The authors study a cubature method described by \textit{B. G. Gabdulkhaev} [Izv. Vyssh. Uchebn. Zaved., Mat. 1972, No. 12 (127), 23--39 (1972; Zbl 0283.65070)] for solving one class of multidimensional weakly singular integral equations. In their investigation authors consider one class of two dimensional weakly singular integral equations of the second kind on a circumference. Authors use a special cubature formula for solving these class of multi dimensional weakly singular integral equations.
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weighted Lebesgue space
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integral equation
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weakly singular integral
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Gauss quadrature formula
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cubature method
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convergence
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error estimate
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0.9173414
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0.8995108
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