A conservative weighted finite difference scheme for the generalized Rosenau-RLW equation

DOI10.1007/s40314-015-0214-7zbMath1359.65165OpenAlexW2026255552MaRDI QIDQ520255

Shuguang Li, Jue Wang, Huan Wang

Publication date: 3 April 2017

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

Full work available at URL: https://doi.org/10.1007/s40314-015-0214-7

zbMATH Keywords

stabilityconvergencefinite difference schemeunique solvabilityGRRLW 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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (9)

Arbitrary high-order linearly implicit energy-conserving schemes for the Rosenau-type equation ⋮ Arbitrary High-Order Structure-Preserving Schemes for Generalized Rosenau-Type Equations ⋮ A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation ⋮ Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW 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 ⋮ 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 ⋮ Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order rosenau-RLW equation ⋮ A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method

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