A conservative and stable explicit finite difference scheme for the diffusion equation

In this study, we present a conservative and stable explicit finite difference scheme for the heat equation. We use Saul’yev-type finite difference scheme and propose a conservative weighted correction step to make the scheme conservative. We can practically use about 100 times larger time step than...

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Bibliographic Details
Published in:Journal of computational science 2021-11, Vol.56, p.101491, Article 101491
Main Authors: Yang, Junxiang, Lee, Chaeyoung, Kwak, Soobin, Choi, Yongho, Kim, Junseok
Format: Article
Language:English
Subjects:
Alternating direction explicit scheme
Finite difference method
Saul’yev-type
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Summary:In this study, we present a conservative and stable explicit finite difference scheme for the heat equation. We use Saul’yev-type finite difference scheme and propose a conservative weighted correction step to make the scheme conservative. We can practically use about 100 times larger time step than the fully Euler-type explicit scheme. Computational results demonstrate that the proposed scheme has stable and good conservative properties. •We present a conservative and stable explicit FDM for the heat equation.•We can use much larger time steps than the fully Euler-type explicit scheme.•Computational results confirm the efficiency and accuracy of the proposed scheme.
ISSN:1877-7503
1877-7511
DOI:10.1016/j.jocs.2021.101491