Higher order methods for solving Volterra integrodifferential equations of the first kind (Q686069)
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scientific article; zbMATH DE number 427718
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher order methods for solving Volterra integrodifferential equations of the first kind |
scientific article; zbMATH DE number 427718 |
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Higher order methods for solving Volterra integrodifferential equations of the first kind (English)
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1 November 1993
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An integration by parts formula is applied to convert the Volterra integro-differential equation of the first kind into an equation of the second kind. Then a highly accurate diagonally implicit Runge-Kutta method is used for the numerical solution of the resulting equation. Finally, a numerical example is discussed to test the performance of the numerical method.
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Butcher array
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integration by parts formula
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Volterra integro- differential equation
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diagonally implicit Runge-Kutta method
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numerical example
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performance
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