The convergence of the fully discrete solution for the Roseneau equation

DOI10.1016/0898-1221(96)00110-1zbMath0857.65103OpenAlexW2036048988MaRDI QIDQ1816667

Yanyan Li

Publication date: 9 March 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00110-1

zbMATH Keywords

convergenceerror analysisGalerkin-Crank-Nicolson finite element methodRoseneau equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

A new conservative high-order accurate difference scheme for the Rosenau equation ⋮ Radial basis function methods for the Rosenau equation and other higher order PDEs ⋮ An \(H^1\)-Galerkin mixed finite element method for Rosenau equation ⋮ On the convergence of conservative difference schemes for the 2D generalized Rosenau-Korteweg de Vries equation ⋮ A new finite difference scheme for the Rosenau-Burgers equation ⋮ A discontinuous Galerkin method for the Rosenau equation ⋮ A new conservative finite difference scheme for the Rosenau equation ⋮ Mixed finite element methods for the Rosenau equation ⋮ Convergence analysis of the Galerkin finite element method for the fourth-order Rosenau equation ⋮ Analysis of new conservative difference scheme for two-dimensional Rosenau-RLW equation

Cites Work

• Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces
• Convergence of Galerkin Approximations for the Korteweg-de Vries Equation
• Fully discrete galerkin methods for the korteweg-de vries equation
• On Some High-Order Accurate Fully Discrete Galerkin Methods for the Korteweg-de Vries Equation
• An evaluation of a model equation for water waves
• Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
• On Optimal High-Order in Time Approximations for the Korteweg-De Vries Equation

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