Mechanical quadrature methods and their extrapolation for solving first kind Abel integral equations (Q869549)
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scientific article; zbMATH DE number 5131562
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mechanical quadrature methods and their extrapolation for solving first kind Abel integral equations |
scientific article; zbMATH DE number 5131562 |
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Mechanical quadrature methods and their extrapolation for solving first kind Abel integral equations (English)
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8 March 2007
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The authors investigate the approximate solutions of the integral equation \[ u(t)+\int_0^t\bar{L}(t,s)u(s)ds=\eta(t),\quad (0\leq t\leq 1) \] for a class by mechanical quadrature methods and their extrapolations with error estimates, and numerical examples are illustrated.
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first kind Abel integral equation
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asymptotic expansion
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extrapolation
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mechanical quadrature methods
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error estimates
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numerical examples
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