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.
Bibliographical noteFunding Information:
The author (Y. Choi) was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) ( NRF-2020R1C1C1A0101153712 ). The corresponding author (J.S. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Korea ( NRF-2019R1A2C1003053 ). The authors are grateful to the reviewers for the constructive and helpful comments on the revision of this article.
© 2021 Elsevier B.V.
- Alternating direction explicit scheme
- Finite difference method
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science
- Modelling and Simulation