A high-order nodal discontinuous Galerkin method for a linearized fractional Cahn-Hilliard equation

DOI10.1016/j.camwa.2016.07.018zbMath1412.65132OpenAlexW2520311068MaRDI QIDQ666786

Tarek Aboelenen, H. M. El-Hawary

Publication date: 12 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.07.018

zbMATH Keywords

stabilityerror estimatesnodal discontinuous Galerkin methodlinearized fractional Cahn-Hilliard equation

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) 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) Fractional partial differential equations (35R11)

Related Items (13)

A Runge–Kutta Gegenbauer spectral method for nonlinear fractional differential equations with Riesz fractional derivatives ⋮ Preconditioners with symmetrized techniques for space fractional Cahn-Hilliard equations ⋮ Discontinuous Galerkin methods for fractional elliptic problems ⋮ A direct discontinuous Galerkin method for a high order nonlocal conservation law ⋮ Finite element simulation and efficient algorithm for fractional Cahn-Hilliard equation ⋮ Energy stable numerical schemes for the fractional-in-space Cahn-Hilliard equation ⋮ Comparison study on the different dynamics between the Allen-Cahn and the Cahn-Hilliard equations ⋮ On the well-posedness of a spectral fractional forward-backward pseudo-parabolic equation ⋮ A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations ⋮ The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations ⋮ Local discontinuous Galerkin method for distributed-order time and space-fractional convection-diffusion and Schrödinger-type equations ⋮ Compact difference scheme for time-fractional nonlinear fourth-order diffusion equation with time delay ⋮ A semi-analytic collocation method for space fractional parabolic PDE

Uses Software

• FODE

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