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

Junxiang Yang, Chaeyoung Lee, Soobin Kwak, Yongho Choi, Junseok Kim

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number101491
JournalJournal of Computational Science
Volume56
DOIs
Publication statusPublished - 2021 Nov

Bibliographical note

Funding 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.

Publisher Copyright:
© 2021 Elsevier B.V.

Keywords

  • Alternating direction explicit scheme
  • Finite difference method
  • Saul'yev-type

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science
  • Modelling and Simulation

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