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

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

Keywords

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

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Modelling and Simulation

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