Convergence of a \(p\)-version/\(hp\)-version method for fractional differential equations

DOI10.1016/j.jcp.2015.01.025zbMath1354.65158OpenAlexW2011701732MaRDI QIDQ729120

Can Huang, Zhimin Zhang

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.01.025

zbMATH Keywords

spectral methodfractional differential equationPetrov-Galerkin

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)

Related Items

Two-step collocation methods for fractional differential equations, Spectral methods for substantial fractional differential equations, Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview, A tunable finite difference method for fractional differential equations with non-smooth solutions

Cites Work

• Unnamed Item
• Exponentially accurate spectral and spectral element methods for fractional ODEs
• Spectral element method for mixed inhomogeneous boundary value problems of fourth order
• Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
• A unified Petrov-Galerkin spectral method for fractional PDEs
• Supergeometric Convergence of Spectral Collocation Methods for Weakly Singular Volterra and Fredholm Integral Equations with Smooth Solutions
• Spectral Methods
• A Space-Time Spectral Method for the Time Fractional Diffusion Equation
• The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations
• Superconvergence of spectral collocation and $p$-version methods in one dimensional problems
• Fractional Spectral Collocation Method