A fourth-order compact BVM scheme for the two-dimensional heat equations

Status	已發表Published
	A fourth-order compact BVM scheme for the two-dimensional heat equations
	Sun H.-W.1; Wang W.2
	2008-12-01
Source Publication	Proceedings of the 2008 International Conference on Scientific Computing, CSC 2008
Pages	310-314
Abstract	In this paper we combine the boundary value methods (for discretizing the temporal variable) and finite difference compact scheme (for discretizing the spatial variables) to numerically solve the two-dimensional heat equations. We firstly employ a fourth-order compact scheme to discretize the spatial derivatives. Then a linear system of ordinary differential equation is obtained. Then we apply a fourth-order scheme of boundary value method to approach this system. Therefore, this scheme can achieve fourth-order accuracy for both temporal and spatial variables, and it is unconditionally stable due to the favorable stability property of the boundary value methods. Numerical results are presented to illustrate the accuracy and efficiency of this compact difference scheme, compared with the classical second-order Crank-Nicolson scheme.
Keyword	BVMs Compact difference scheme Crank-Nicolson Heat equation Unconditional stability
URL	View the original
Language	英語English
Fulltext Access	View Full-Text via Scopus
Document Type	Conference paper
Collection	University of Macau
Affiliation	1.Universidade de Macau 2.Chinese University of Hong Kong
First Author Affilication	University of Macau
Recommended Citation GB/T 7714	Sun H.-W.,Wang W.. A fourth-order compact BVM scheme for the two-dimensional heat equations[C], 2008, 310-314.
APA	Sun H.-W.., & Wang W. (2008). A fourth-order compact BVM scheme for the two-dimensional heat equations. Proceedings of the 2008 International Conference on Scientific Computing, CSC 2008, 310-314.

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