Spectral methods for weakly singular Volterra integral equations with smooth solutions (Q1034650)
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scientific article; zbMATH DE number 5626993
| Language | Label | Description | Also known as |
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| English | Spectral methods for weakly singular Volterra integral equations with smooth solutions |
scientific article; zbMATH DE number 5626993 |
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Spectral methods for weakly singular Volterra integral equations with smooth solutions (English)
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6 November 2009
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The authors investigate a spectral Jacobi-collocation approximation for finding the solution of a linear Volterra integral equation of the second kind with weakly singular kernel and a sufficiently smooth condition by using the infinity norm and the norm on a weighted Sobolev space based on a paper of \textit{B. Guo} and \textit{L. Wang} [J. Approximation Theory 128, No.~1, 1--41 (2004; Zbl 1057.41003)].
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singular kernels
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smooth solutions
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spectral methods
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error analysis
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collocation
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linear Volterra integral equation
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second kind
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