High-order conservative Crank-Nicolson scheme for regularized long wave equation

DOI10.1186/1687-1847-2013-287zbMath1444.65051OpenAlexW2129646285WikidataQ59302065 ScholiaQ59302065MaRDI QIDQ1653206

Jin-Song Hu, Ke-long Zheng

Publication date: 17 July 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-287

zbMATH Keywords

stabilityconvergenceregularized long wave equationconservative difference schemeRichardson extrapolation

Mathematics Subject Classification ID

Wave equation (35L05) 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 (14)

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 high-accuracy compact conservative scheme for generalized regularized long-wave equation ⋮ Numerical simulation and convergence analysis of a high-order conservative difference scheme for SRLW equation ⋮ Evaluation of shallow water waves modelled by the Rosenau-Kawahara equation using pseudo-compact finite difference approach ⋮ Unnamed Item ⋮ Optimal error estimate of two linear and momentum‐preserving Fourier pseudo‐spectral schemes for the RLW equation ⋮ High-order compact finite difference schemes for solving the regularized long-wave equation ⋮ The conservative and fourth-order compact finite difference schemes for regularized long wave equation ⋮ Study on convergence and stability of a conservative difference scheme for the generalized Rosenau-KdV equation ⋮ An efficient finite difference scheme for the 2D sine-Gordon equation ⋮ Numerical implementation for solving the symmetric regularized long wave equation ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation

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