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

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

doi:10.1016/j.jocs.2021.101491

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

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 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 language	English
Article number	101491
Journal	Journal of Computational Science
Volume	56
DOIs	https://doi.org/10.1016/j.jocs.2021.101491
Publication status	Published - 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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10.1016/j.jocs.2021.101491

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title = "A conservative and stable explicit finite difference scheme for the diffusion equation",

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.",

keywords = "Alternating direction explicit scheme, Finite difference method, Saul'yev-type",

author = "Junxiang Yang and Chaeyoung Lee and Soobin Kwak and Yongho Choi and Junseok Kim",

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doi = "10.1016/j.jocs.2021.101491",

language = "English",

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T1 - A conservative and stable explicit finite difference scheme for the diffusion equation

AU - Yang, Junxiang

AU - Lee, Chaeyoung

AU - Kwak, Soobin

AU - Choi, Yongho

AU - Kim, Junseok

N1 - 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.

PY - 2021/11

Y1 - 2021/11

N2 - 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.

AB - 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.

KW - Alternating direction explicit scheme

KW - Finite difference method

KW - Saul'yev-type

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DO - 10.1016/j.jocs.2021.101491

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SN - 1877-7503

VL - 56

JO - Journal of Computational Science

JF - Journal of Computational Science

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ER -

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

Abstract

Keywords

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