A local discontinuous Galerkin method for the Novikov equation
Copyright policy )A local discontinuous Galerkin method for the Novikov equation
In this paper, we propose a local discontinuous Galerkin (LDG) method for the Novikov equation that contains cubic nonlinear high-order derivatives. Flux correction techniques are used to ensure the stability of the numerical scheme. The H 1 H^1 -norm stability of the general solution and the error estimate for smooth solutions without using any priori assumptions are presented. Numerical examples demonstrate the accuracy and capability of the LDG method for solving the Novikov equation.
Error bounds for initial value and initial-boundary value problems involving PDEs, error estimates, local discontinuous Galerkin, Novikov equation, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
Error bounds for initial value and initial-boundary value problems involving PDEs, error estimates, local discontinuous Galerkin, Novikov equation, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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