High-performance computing of structure-preserving algorithm for the coupled BBM system formulated by weighted compact difference operators
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DOI: 10.1016/j.matcom.2022.09.017
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References listed on IDEAS
- Kanyuta Poochinapan & Ben Wongsaijai & Thongchai Disyadej, 2014. "Efficiency of High-Order Accurate Difference Schemes for the Korteweg-de Vries Equation," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, December.
- Wongsaijai, B. & Mouktonglang, T. & Sukantamala, N. & Poochinapan, K., 2019. "Compact structure-preserving approach to solitary wave in shallow water modeled by the Rosenau-RLW equation," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 84-100.
- Rouatbi, Asma & Omrani, Khaled, 2017. "Two conservative difference schemes for a model of nonlinear dispersive equations," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 516-530.
- Dimitrienko, Yu.I. & Li, Shuguang & Niu, Yi, 2021. "Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 661-689.
- Wongsaijai, B. & Oonariya, C. & Poochinapan, K., 2020. "Compact structure-preserving algorithm with high accuracy extended to the improved Boussinesq equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 125-150.
- Pelloni, Beatrice & Dougalis, Vassilios A., 2001. "Numerical modelling of two-way propagation of non-linear dispersive waves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(4), pages 595-606.
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Keywords
Finite difference method; Compact difference operator; Coupled BBM system; Convergence; Stability;All these keywords.
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