High-performance computing of structure-preserving algorithm for the coupled BBM system formulated by weighted compact difference operators
Author
Abstract
Suggested Citation
DOI: 10.1016/j.matcom.2022.09.017
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- 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.
- 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. & 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.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Poochinapan, Kanyuta & Wongsaijai, Ben, 2022. "Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme," Applied Mathematics and Computation, Elsevier, vol. 434(C).
- Wongsaijai, Ben & Poochinapan, Kanyuta, 2021. "Optimal decay rates of the dissipative shallow water waves modeled by coupling the Rosenau-RLW equation and the Rosenau-Burgers equation with power of nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 405(C).
- Mouktonglang, Thanasak & Yimnet, Suriyon & Sukantamala, Nattakorn & Wongsaijai, Ben, 2022. "Dynamical behaviors of the solution to a periodic initial–boundary value problem of the generalized Rosenau-RLW-Burgers equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 114-136.
- Teeranush Suebcharoen & Kanyuta Poochinapan & Ben Wongsaijai, 2022. "Bifurcation Analysis and Numerical Study of Wave Solution for Initial-Boundary Value Problem of the KdV-BBM Equation," Mathematics, MDPI, vol. 10(20), pages 1-20, October.
- Antonopoulos, D.C. & Dougalis, V.A., 2012. "Numerical solution of the ‘classical’ Boussinesq system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(6), pages 984-1007.
- 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.
More about this item
Keywords
Finite difference method; Compact difference operator; Coupled BBM system; Convergence; Stability;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:205:y:2023:i:c:p:439-467. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.