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

Seokjun Ham, Youngjin Hwang, Soobin Kwak, Junseok Kim

Research output: Contribution to journalArticlepeer-review

2 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 languageEnglish
Article number025203
JournalAIP Advances
Volume12
Issue number2
DOIs
Publication statusPublished - 2022 Feb 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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