Unconditionally stable second-order accurate scheme for a parabolic sine-Gordon equation

Seokjun Ham; Youngjin Hwang; Soobin Kwak; Junseok Kim

doi:10.1063/5.0081229

Unconditionally stable second-order accurate scheme for a parabolic sine-Gordon equation

Seokjun Ham, Youngjin Hwang, Soobin Kwak, Junseok Kim

Department of Mathematics

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

4 Citations (Scopus)

Abstract

In this study, we propose an unconditionally stable temporally second-order accurate scheme for a parabolic sine-Gordon equation. The proposed scheme is based on an operator splitting method. We solve linear and nonlinear equations using a Fourier spectral method and a closed-form solution, respectively. The proposed numerical method is temporally second-order accurate and unconditionally stable. To verify the superior efficiency and accuracy of the proposed scheme, we conduct various numerical tests. Computational tests validate the accuracy, efficiency, and simplicity of the proposed scheme.

Original language	English
Article number	025203
Journal	AIP Advances
Volume	12
Issue number	2
DOIs	https://doi.org/10.1063/5.0081229
Publication status	Published - 2022 Feb 1

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1063/5.0081229

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title = "Unconditionally stable second-order accurate scheme for a parabolic sine-Gordon equation",

abstract = "In this study, we propose an unconditionally stable temporally second-order accurate scheme for a parabolic sine-Gordon equation. The proposed scheme is based on an operator splitting method. We solve linear and nonlinear equations using a Fourier spectral method and a closed-form solution, respectively. The proposed numerical method is temporally second-order accurate and unconditionally stable. To verify the superior efficiency and accuracy of the proposed scheme, we conduct various numerical tests. Computational tests validate the accuracy, efficiency, and simplicity of the proposed scheme.",

author = "Seokjun Ham and Youngjin Hwang and Soobin Kwak and Junseok Kim",

note = "Funding Information: J. Kim was supported by the National Research Foundation (NRF), Korea, under project BK21 FOUR. The authors would like to thank the reviewers for their constructive and helpful comments regarding the revision of this paper. Publisher Copyright: {\textcopyright} 2022 Author(s).",

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T1 - Unconditionally stable second-order accurate scheme for a parabolic sine-Gordon equation

AU - Ham, Seokjun

AU - Hwang, Youngjin

AU - Kwak, Soobin

AU - Kim, Junseok

N1 - Funding Information: J. Kim was supported by the National Research Foundation (NRF), Korea, under project BK21 FOUR. The authors would like to thank the reviewers for their constructive and helpful comments regarding the revision of this paper. Publisher Copyright: © 2022 Author(s).

PY - 2022/2/1

Y1 - 2022/2/1

N2 - In this study, we propose an unconditionally stable temporally second-order accurate scheme for a parabolic sine-Gordon equation. The proposed scheme is based on an operator splitting method. We solve linear and nonlinear equations using a Fourier spectral method and a closed-form solution, respectively. The proposed numerical method is temporally second-order accurate and unconditionally stable. To verify the superior efficiency and accuracy of the proposed scheme, we conduct various numerical tests. Computational tests validate the accuracy, efficiency, and simplicity of the proposed scheme.

AB - In this study, we propose an unconditionally stable temporally second-order accurate scheme for a parabolic sine-Gordon equation. The proposed scheme is based on an operator splitting method. We solve linear and nonlinear equations using a Fourier spectral method and a closed-form solution, respectively. The proposed numerical method is temporally second-order accurate and unconditionally stable. To verify the superior efficiency and accuracy of the proposed scheme, we conduct various numerical tests. Computational tests validate the accuracy, efficiency, and simplicity of the proposed scheme.

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JO - AIP Advances

JF - AIP Advances

IS - 2

M1 - 025203

ER -

Unconditionally stable second-order accurate scheme for a parabolic sine-Gordon equation

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