An Ultra-weak Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for the KdV–Burgers–Kuramoto Equation-Reference-Cited by-同舟云学术

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An Ultra-weak Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for the KdV–Burgers–Kuramoto Equation

Published:2024-04-22 Issue:3 Volume:99 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Lin Guotao,Zhang Dazhi,Li Jia^ORCID,Wu Boying

Funder

National Natural Science Foundation of China

Fellowship of China Postdoctoral Science Foundation

Fundamental Research Funds for Central Universities

Natural Sciences Foundation of Heilongjiang Province

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10915-024-02528-y.pdf

Reference38 articles.

1. Alimirzaluo, E., Nadjafikhah, M.: Some exact solutions of kdv-burgers-kuramoto equation. J. Phys. Commun. 3(3), 035025 (2019)

2. Baccouch, M.: A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. Numer. Algorithms 92(4), 1983–2023 (2023)

3. Bona, J.L., Chen, H., Karakashian, O., Xing, Y.: Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. Math. Comp. 82(283), 1401–1432 (2013)

4. Brenner, S.C., Scott, L.R.: The mathematical theory of finite element methods. In: Texts in Applied Mathematics, vol. 15, 3rd edn. Springer, New York (2008)

5. Cao, W., Li, D., Yang, Y., Zhang, Z.: Superconvergence of discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations. ESAIM Math. Model. Numer. Anal. 51(2), 467–486 (2017)

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