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Numerical Functional Analysis and Optimization Volume 40, 2019 - Issue 9
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Articles

Numerical Simulation of the Coupled Sine-Gordon Equations via a Linearized and Decoupled Compact ADI Method

Dingwen DengSchool of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, P.R. ChinaCorrespondence[email protected]
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Pages 1053-1079 | Received 11 Oct 2017, Accepted 14 Mar 2019, Published online: 04 Apr 2019

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Yunzhi Jiang & Yongbin Ge. (2023) An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound. International Journal of Computer Mathematics 100:2, pages 321-341.
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Articles from other publishers (9)

Baohui Hou & Huan Liu. (2024) Two linear energy-preserving compact finite difference schemes for coupled nonlinear wave equations. Applied Numerical Mathematics 201, pages 531-549.
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Qifeng Zhang, Dongfang Li & Wanying Mao. (2024) A family of linearly weighted-$$\theta $$ compact ADI schemes for sine-Gordon equations in high dimensions. Numerical Algorithms.
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Nagehan Alsoy-Akgün. (2023) Implementation of DRBEM for coupled sine-Gordon equations. Engineering Analysis with Boundary Elements 156, pages 407-431.
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Shuaikang Wang, Yunzhi Jiang & Yongbin Ge. (2023) High-order compact difference methods for solving two-dimensional nonlinear wave equations. Electronic Research Archive 31:6, pages 3145-3168.
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Dingwen Deng & Qiang Wu. (2023) Accuracy improvement of a Predictor–Corrector compact difference scheme for the system of two-dimensional coupled nonlinear wave equations. Mathematics and Computers in Simulation 203, pages 223-249.
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Shuaikang Wang & Yongbin Ge. (2022) Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient. Mathematical Sciences.
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Dingwen Deng & Qiang Wu. (2021) The error estimations of a two-level linearized compact ADI method for solving the nonlinear coupled wave equations. Numerical Algorithms 89:4, pages 1663-1693.
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Dingwen Deng & Qiang Wu. (2021) Error estimations of the fourth-order explicit Richardson extrapolation method for two-dimensional nonlinear coupled wave equations. Computational and Applied Mathematics 41:1.
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Dingwen Deng & Qiang Wu. (2021) The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations. Numerical Algorithms 88:4, pages 1875-1914.
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