An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type (Q779261)
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scientific article; zbMATH DE number 7223721
| Language | Label | Description | Also known as |
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| English | An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type |
scientific article; zbMATH DE number 7223721 |
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An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type (English)
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21 July 2020
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An optimized finite difference (FD) extrapolated scheme based on proper orthogonal decomposition (POD) is employed for the 2D integro-differential equation of parabolic type. The reduced-order technique relies on the author's previous work developed for partial differential equations (PDEs) [Adv. Difference Equ. 2014, Paper No. 272, 18 p. (2014; Zbl 1343.76031)]. The stability and error estimates are analyzed and implementation of the scheme is provided. The theoretical results confirmed for a numerical example and the improvement of computation efficiency is shown, compared with the classical FD scheme for the 2D integro-differential equation of parabolic type.
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optimized finite difference (FD) extrapolated scheme
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integro-differential equation of parabolic type
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proper orthogonal decomposition
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stability and error estimate
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