Analysis and computational method based on quadratic B-spline FEM for the Rosenau-Burgers equation

DOI10.1002/num.22034zbMath1352.65366OpenAlexW2183891666WikidataQ115398108 ScholiaQ115398108MaRDI QIDQ2808868

Guang-Ri Piao, Guo-Xian Cai, June-Yub Lee

Publication date: 25 May 2016

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22034

zbMATH Keywords

convergenceerror estimatesGalerkin finite element methodnumerical experimentCrank-Nicolson methodquadratic B-splineRosenau-Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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 (4)

Numerical scheme for a model of shallow water waves in \((2 + 1)\)-dimensions ⋮ An efficient computational technique for higher order KdV equation arising in shallow water waves ⋮ A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation ⋮ Numerical solutions of nonhomogeneous Rosenau type equations by quintic B‐spline collocation method

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