Unconditionally stable second-order accurate scheme for a parabolic sine-Gordon equation
Source abstract
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.
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Research context
OpenAlex topics: Numerical methods for differential equations · Differential Equations and Numerical Methods · Fractional Differential Equations Solutions
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Affiliations
Department of Mathematics, Korea University , Seoul 02841, Republic of Korea
Funding
National Research Foundation of Korea, Under Project BK21 FOUR
References (27)
Show source-provided references
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