Analysis of local discontinuous Galerkin method for time-space fractional sine-Gordon equations

DOI10.1016/j.apnum.2019.08.003zbMath1427.65234OpenAlexW2969560429WikidataQ127341198 ScholiaQ127341198MaRDI QIDQ2010251

Yanyan Li

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.08.003

zbMATH Keywords

stabilityfinite difference methoderror estimatefractional partial differential equationslocal discontinuous Galerkin method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

Related Items (7)

A numerical scheme based on the Chebyshev functions to find approximate solutions of the coupled nonlinear sine-Gordon equations with fractional variable orders ⋮ Local discontinuous Galerkin method for time variable order fractional differential equations with sub-diffusion and super-diffusion ⋮ Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics ⋮ Generalized finite difference method with irregular mesh for a class of three-dimensional variable-order time-fractional advection-diffusion equations ⋮ A discontinuous finite element approximation to singular Lane-Emden type equations ⋮ Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution ⋮ A convergent hybrid numerical scheme for a class of nonlinear diffusion equations

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