Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations

DOI10.1016/j.cam.2023.115122zbMath1514.65116arXiv2211.06272OpenAlexW4321460201MaRDI QIDQ6099508

Publication date: 20 June 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.06272

zbMATH Keywords

a posteriori error estimation higher-order methods subdiffusion time-fractional adaptive time stepping algorithm stable implementation

Mathematics Subject Classification ID

Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Related Items (1)

Pointwise-in-time a posteriori error control for time-fractional parabolic equations

Cites Work

Unnamed Item
A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
On the maximum principle for a time-fractional diffusion equation
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
A posteriori error analysis for variable-coefficient multiterm time-fractional subdiffusion equations
Pointwise-in-time a posteriori error control for time-fractional parabolic equations
Vectorized adaptive quadrature in MATLAB
Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign
Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
Collocation Methods for Volterra Integral and Related Functional Differential Equations
A posteriori error analysis for approximations of time-fractional subdiffusion problems
Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions
Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem
IMPLEMENTATION OF HIGH-ORDER, DISCONTINUOUS GALERKIN TIME STEPPING FOR FRACTIONAL DIFFUSION PROBLEMS
Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

This page was built for publication: Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations