Solution of Cauchy-type singular integral equations of the first kind with zeros of Jacobi polynomials as interpolation nodes (Q925459)
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scientific article; zbMATH DE number 5282531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution of Cauchy-type singular integral equations of the first kind with zeros of Jacobi polynomials as interpolation nodes |
scientific article; zbMATH DE number 5282531 |
Statements
Solution of Cauchy-type singular integral equations of the first kind with zeros of Jacobi polynomials as interpolation nodes (English)
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3 June 2008
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The author investigates the numerical solution of Cauchy-type singular integral equations of the first kind at a discrete set of points based on Lagrangian interpolation with the zeros of Jacobi polynomials as nodes using the Gauss-Chebyshev quadrature rule and Christoffel-Darboux identity.
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Cauchy-type singular integral equation
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Chebyshev polynomial
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Legendre polynomial
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Gauss-Jacobi quadrature rule
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