Approximate solution of singular integral equations with complex conjugate values of unknown function (Q2753522)
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scientific article; zbMATH DE number 1670325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate solution of singular integral equations with complex conjugate values of unknown function |
scientific article; zbMATH DE number 1670325 |
Statements
11 November 2001
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singular integral equation
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Lyapunov contour
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collocation method
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method of quadratures
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convergence
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Approximate solution of singular integral equations with complex conjugate values of unknown function (English)
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Integral equations containing both the Cauchy principal value integral and its complex conjugate are considered. First, this equation is reduced to the equation without complex conjugate. Then an approximate solution of a singular integral equation is constructed using the collocation method and the method of quadratures. The suggested technique is applicable for integral equations on any closed Lyapunov contour. Estimates of the speed of convergence to the exact solution are obtained.
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