Numerical simulation and convergence analysis of a high-order conservative difference scheme for SRLW equation

DOI10.1016/j.apm.2014.04.062zbMath1429.65185OpenAlexW2058943859WikidataQ112880201 ScholiaQ112880201MaRDI QIDQ1634158

Maobo Zheng, Jin-Song Hu, Ke-long Zheng

Publication date: 17 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.04.062

zbMATH Keywords

stabilityconvergenceconservative difference schemeRichardson extrapolationSRLW equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (11)

Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation ⋮ A second-order Fourier pseudospectral method for the generalized regularized long wave equation ⋮ A new linearized fourth-order conservative compact difference scheme for the SRLW equations ⋮ Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations ⋮ A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations ⋮ An efficient finite difference scheme for the 2D sine-Gordon equation ⋮ Numerical implementation for solving the symmetric regularized long wave equation ⋮ \(L^{\infty }\) error bound of conservative compact difference scheme for the generalized symmetric regularized long-wave (GSRLW) equations ⋮ Galerkin finite element methods for two-dimensional RLW and SRLW equations ⋮ Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations ⋮ Numerical analysis of a high-order accurate compact finite difference scheme for the SRLW equation

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