Analysis and application of the discontinuous Galerkin method to the RLW equation
DOI10.1186/1687-2770-2013-116zbMath1293.65123OpenAlexW2157779677WikidataQ59300560 ScholiaQ59300560MaRDI QIDQ2251118
Publication date: 11 July 2014
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2013-116
linearizationnumerical experimentsdiscontinuous Galerkin methodregularized long wave equationsemidiscretizationbackward Euler methoda priori error estimatessemi-implicit schemesolitary and periodic wave solutionsexperimental order of convergence
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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Higher-order nonlinear hyperbolic equations (35L75)
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Cites Work
- Explicit multistep method for the numerical solution of RLW equation
- A numerical technique for solution of the MRLW equation using quartic B-splines
- A meshfree method for the numerical solution of the RLW equation
- Analysis of semi-implicit DGFEM for nonlinear convection-diffusion problems on nonconforming meshes
- Analysis of the discontinuous Galerkin method for nonlinear convection--diffusion problems
- Application of a lumped Galerkin method to the regularized long wave equation
- A linearized implicit pseudo-spectral method for some model equations: the regularized long wave equations
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Approximation of the RLW equation by the least square cubic \(B\)-spline finite element method
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