Uniform error estimates of fourth-order conservative linearized difference scheme for a mathematical model for long wave

DOI10.1080/00207160.2019.1652738zbMath1480.65202OpenAlexW2967562387MaRDI QIDQ5030632

Khaled Omrani, Asma Rouatbi, Khedidja Bayarassou

Publication date: 17 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2019.1652738

zbMATH Keywords

stabilityconvergencesolitary wavessolvabilityconservationhigh-order difference schemeregularized long-wave-Korteweg-de Vries 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 (7)

Two structure-preserving schemes with fourth-order accuracy for the modified Kawahara equation ⋮ An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa-Holm equation ⋮ Conservative compact difference scheme for the generalized Korteweg-de Vries equation ⋮ An efficient numerical simulation of nonlinear‐dispersive model of shallow water wave ⋮ On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities ⋮ Stability analysis of a high-order finite-difference scheme for the Korteweg-de Vries equation with non-homogeneous boundaries ⋮ A high-order linearized difference scheme preserving dissipation property for the 2D Benjamin-Bona-Mahony-Burgers equation

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