High-order conservative difference scheme for a model of nonlinear dispersive equations

DOI10.1007/S40314-017-0567-1zbMath1402.65090OpenAlexW2782273292MaRDI QIDQ1993411

Khaled Omrani, Asma Rouatbi, Talha Achouri

Publication date: 5 November 2018

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

Full work available at URL: https://doi.org/10.1007/s40314-017-0567-1

zbMATH Keywords

stabilityconvergenceexistenceuniquenessconservationnonlinear RLW-KdV 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (12)

New exact solutions and numerical approximations of the generalized KdV equation ⋮ On the compact difference scheme for the two‐dimensional coupled nonlinear Schrödinger equations ⋮ Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations ⋮ An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa-Holm equation ⋮ An efficient numerical simulation of nonlinear‐dispersive model of shallow water wave ⋮ Higher-order energy-preserving difference scheme for the fourth-order nonlinear strain wave equation ⋮ On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ 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 ⋮ A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator ⋮ A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method ⋮ Uniform error estimates of fourth-order conservative linearized difference scheme for a mathematical model for long wave

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