An efficient high-order compact finite difference scheme based on proper orthogonal decomposition for the multi-dimensional parabolic equation

An efficient high-order compact finite difference scheme based on proper orthogonal decomposition for the multi-dimensional parabolic equation

Abstract In this paper, the combination of efficient sixth-order compact finite difference scheme (E-CFDS6) based proper orthogonal decomposition and Strang splitting method (E-CFDS6-SSM) is constructed for the numerical solution of the multi-dimensional parabolic equation (MDPE). For this purpose,...

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Bibliographic Details
Main Authors: Baozou Xu, Xiaohua Zhang
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Advances in Difference Equations
Subjects:
Compact finite difference scheme
Proper orthogonal decomposition
Multi-dimensional parabolic equation
Strang splitting method
Online Access:http://link.springer.com/article/10.1186/s13662-019-2273-3

Internet

http://link.springer.com/article/10.1186/s13662-019-2273-3

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