Convergence analysis of the Galerkin finite element method for the fourth-order Rosenau equation

DOI10.1016/j.aml.2022.108432zbMath1503.65246OpenAlexW4296605841WikidataQ114210439 ScholiaQ114210439MaRDI QIDQ2080872

Xu Jia, Dong-Yang Shi

Publication date: 11 October 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108432

zbMATH Keywords

convergenceGalerkin FEMRosenau equationbicubic Hermite element

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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)

Related Items (1)

Double reduction order method based conservative compact schemes for the Rosenau equation

Cites Work

• Decay and scattering of small solutions for Rosenau equations
• Mixed finite element methods for the Rosenau equation
• A new conservative finite difference scheme for the Rosenau equation
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• The convergence of the fully discrete solution for the Roseneau equation
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• A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation
• Nonconforming quasi-Wilson finite element approximation for the nonlinear Rosenau equation
• A reduced-order extrapolation technique for solution coefficient vectors in the mixed finite element method for the 2D nonlinear Rosenau equation
• Superconvergence analysis of the mixed finite element method for the Rosenau equation
• A new conservative high-order accurate difference scheme for the Rosenau equation
• Finite Difference Approximate Solutions for
• A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation
• On the Rosenau equation in multidimensional space
• Numerical methods for the rosenau equation
• Finite element galerkin solutions for the rosenau equation

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