Rational interpolation and approximate solution of integral equations (Q425241)
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scientific article; zbMATH DE number 6043398
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational interpolation and approximate solution of integral equations |
scientific article; zbMATH DE number 6043398 |
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Rational interpolation and approximate solution of integral equations (English)
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7 June 2012
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A rational interpolation operator for continuous periodic functions is proposed in order to derive a quadrature formula of Gauss type. The coefficients of this quadrature formula are obtained and the accuracy of the quadrature formula is estimated. Using this quadrature formula, a Nyström type method for linear Fredholm integral equations of the second kind is proposed. The convergence of the method is proved obtaining an error estimate for the approximate solution.
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rational interpolation
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periodic function
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quadrature formula of Gauss type
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Nyström type method
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linear Fredholm integral equations of the second kind
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convergence
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error estimate
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