A discontinuous Galerkin method for the Rosenau equation

DOI10.1016/j.apnum.2007.02.008zbMath1145.65071OpenAlexW2087891454MaRDI QIDQ928834

Elsie Sterbin Gottlieb

Publication date: 11 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.02.008

zbMATH Keywords

stabilitydual problemnumerical resultsdiscontinuous Galerkin methoda posteriori error estimatesRosenau equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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 (22)

On the Rosenau equation: Lie symmetries, periodic solutions and solitary wave dynamics ⋮ Two conservative difference schemes for the generalized Rosenau equation ⋮ New solitary solutions and a conservative numerical method for the Rosenau-Kawahara equation with power law nonlinearity ⋮ Exact solitary solution and a three-level linearly implicit conservative finite difference method for the generalized Rosenau-Kawahara-RLW equation with generalized Novikov type perturbation ⋮ A spectral method based on Bernstein orthonormal basis functions for solving an inverse Roseneau equation ⋮ An \(H^1\)-Galerkin mixed finite element method for Rosenau equation ⋮ A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation ⋮ Double reduction order method based conservative compact schemes for the Rosenau equation ⋮ Numerical solutions of nonhomogeneous Rosenau type equations by quintic B‐spline collocation method ⋮ Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations ⋮ A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation ⋮ A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation ⋮ Variational discretizations for the generalized Rosenau-type equations ⋮ Finite difference discretization of the Rosenau-RLW equation ⋮ A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation ⋮ Lie symmetry reductions and exact solutions to the Rosenau equation ⋮ Solitary wave formation from a generalized Rosenau equation ⋮ Discontinuous Galerkin finite element methods for one-dimensional Rosenau equation ⋮ Numerical analysis of a pseudo-compact C-N conservative scheme for the Rosenau-KdV equation coupling with the Rosenau-RLW equation ⋮ On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation ⋮ A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method ⋮ Homogeneous initial-boundary value problem of the Rosenau equation posed on a finite interval

Cites Work

• Unnamed Item
• Unnamed Item
• A posteriori error estimation in finite element analysis
• The convergence of the fully discrete solution for the Roseneau equation
• On the Rosenau equation in multidimensional space
• Numerical methods for the rosenau equation
• Finite element galerkin solutions for the rosenau equation
• Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems

This page was built for publication: A discontinuous Galerkin method for the Rosenau equation