Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation
type: Item
instance of: scholarly article
title: Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation
zbMATH Open document ID: 1504.65169
author: Yanyan Li
published in: Advances in Computational Mathematics
publication date: 2022-12-20T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 41A58
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7634932
zbMATH Keywords: Grünwald-Letnikov scheme
zbMATH Keywords: multi-term time fractional
zbMATH Keywords: pointwise-in-time error estimate
zbMATH Keywords: \(\alpha\)-robust
MaRDI profile type: Publication
full work available at URL: s10444-022-09999-3
OpenAlex ID: W4310241376
cites work: Consistency analysis of the Grünwald–Letnikov approximation in a bounded domain
cites work: Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
cites work: Numerical stability of Grünwald-Letnikov method for time fractional delay differential equations
cites work: The convergence rate for difference approximations to fractional boundary value problems
cites work: An analysis of the Grünwald-Letnikov scheme for initial-value problems with weakly singular solutions
cites work: Error analysis of a finite element method with GMMP temporal discretisation for a time-fractional diffusion equation
cites work: Sharp error estimate of a Grünwald-Letnikov scheme for reaction-subdiffusion equations
cites work: A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
cites work: Using complete monotonicity to deduce local error estimates for discretisations of a multi-term time-fractional diffusion equation
cites work: Complete monotonicity-preserving numerical methods for time fractional ODEs
cites work: Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
cites work: Blow-up of error estimates in time-fractional initial-boundary value problems
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Q4485828
DOI: 10.1007/S10444-022-09999-3
description: scientific article; zbMATH DE number 7634932