The conservative and fourth-order compact finite difference schemes for regularized long wave equation

DOI10.1016/j.cam.2019.01.036zbMath1419.65033OpenAlexW2912700048MaRDI QIDQ2423671

Bo Wang, Tong-jun Sun, Dong Liang

Publication date: 20 June 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.01.036

zbMATH Keywords

stabilityconvergenceRLW equationconservationcompact finite difference

Mathematics Subject Classification ID

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) Soliton equations (35Q51) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (13)

A new three-level fourth-order compact finite difference scheme for the extended Fisher-Kolmogorov equation ⋮ The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation ⋮ High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrödinger–KdV equations ⋮ On the \(L^{\infty}\) convergence of a novel fourth-order compact and conservative difference scheme for the generalized Rosenau-KdV-RLW equation ⋮ High-order compact finite difference schemes for solving the regularized long-wave equation ⋮ A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations ⋮ Periodic Behaviors of a Linear Fourth-Order Difference Solution to the Benjamin–Bona–Mahony-Type Equation with Time-Periodic Boundaries ⋮ Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation ⋮ A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation ⋮ A two-grid block-centered finite difference method for the nonlinear regularized long wave equation ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme ⋮ Numerical solutions for a Timoshenko-type system with thermoelasticity with second sound

Cites Work

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