A new conservative nonlinear high-order compact finite difference scheme for the general Rosenau-RLW equation

DOI10.1186/s13661-015-0336-2zbMath1339.65138OpenAlexW2139958292WikidataQ59435262 ScholiaQ59435262MaRDI QIDQ283489

Jue Wang, Shuguang Li, Huan Wang

Publication date: 13 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0336-2

zbMATH Keywords

stabilityconvergenceinitial boundary value problemunique solvabilityconservationcompact finite difference schemenumerical resultgeneralized Rosenau-regularized long wave equation

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) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (8)

On the convergence of the modified Rosenau and the modified Benjamin-Bona-Mahony equations ⋮ 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 ⋮ \(L^{\infty }\) error bound of conservative compact difference scheme for the generalized symmetric regularized long-wave (GSRLW) equations ⋮ Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme ⋮ Compact structure-preserving approach to solitary wave in shallow water modeled by the Rosenau-RLW equation ⋮ Numerical analysis for fourth-order compact conservative difference scheme to solve the 3D Rosenau-RLW equation ⋮ Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations ⋮ A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

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