Approximate solution of a singular integral equation using the Sobolev method (Q2140967)
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| Language | Label | Description | Also known as |
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| English | Approximate solution of a singular integral equation using the Sobolev method |
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Approximate solution of a singular integral equation using the Sobolev method (English)
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23 May 2022
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The authors consider a singular integral equation of the first kind with Cauchy kernel. In particular, they develop an optimal quadrature formula to approximate the solution in the space \(L_2^{(m)}(-1,1).\) Numerical results support the theory.
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optimal quadrature formulas
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extremal function
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Sobolev space
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optimal coefficients
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Cauchy type singular integral
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weight function
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singular integral equation
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