Numerical method for the solution of linear boundary-value problem for integrodifferential equations based on spline approximations
UDC 517.642 We propose a numerical method for the solution of linear boundary-value problem for system of integrodifferential equations. This method is based on the approximation of the integral term by a cubic spline and reduction of the original problem to a linear boundary-value problem for a s...
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| Datum: | 2019 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2019
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1508 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.642
We propose a numerical method for the solution of linear boundary-value problem for system of integrodifferential equations.
This method is based on the approximation of the integral term by a cubic spline and reduction of the original problem to
a linear boundary-value problem for a system of loaded differential equations. We also propose new algorithms for finding
the numerical solution and a method for the construction of approximate solution to the approximating boundary-value
problem. |
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