\(\alpha\)-robust \(H^1\)-norm convergence analysis of ADI scheme for two-dimensional time-fractional diffusion equation
type: Item
instance of: scholarly article
title: \(\alpha\)-robust \(H^1\)-norm convergence analysis of ADI scheme for two-dimensional time-fractional diffusion equation
zbMATH Open document ID: 1486.65133
author: Yanyan Li
published in: Applied Numerical Mathematics
publication date: 2021-07-15T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7371860
zbMATH Keywords: ADI scheme
zbMATH Keywords: time-fractional diffusion
zbMATH Keywords: \(\alpha\)-robust
zbMATH Keywords: \(H^1\)-norm error estimate
zbMATH Keywords: weak singularity
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.05.025
OpenAlex ID: W3170286454
cites work: Effect of fractional derivatives on transient MHD flow and radiative heat transfer in a micro-parallel channel at high zeta potentials
cites work: A new analysis for the convergence of the gradient discretization method for multidimensional time fractional diffusion and diffusion-wave equations
cites work: Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem
cites work: Blow-up of error estimates in time-fractional initial-boundary value problems
cites work: A discrete comparison principle for the time-fractional diffusion equation
cites work: A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition
cites work: An application of fractional differential equations to risk theory
cites work: Error analysis of a finite element method with GMMP temporal discretisation for a time-fractional diffusion equation
cites work: A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations
cites work: Conservation laws of \((3+\alpha)\)-dimensional time-fractional diffusion equation
cites work: Approximation of heavy-tailed fractional Pearson diffusions in Skorokhod topology
cites work: A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
cites work: Regularity theory for time-fractional advection-diffusion-reaction equations
cites work: Sharp \(H^1\)-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems
cites work: Preprocessing schemes for fractional-derivative problems to improve their convergence rates
cites work: Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
cites work: A weak Galerkin finite element method for high dimensional time-fractional diffusion equation
cites work: Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
cites work: An efficient parallel approximate algorithm for solving time fractional reaction-diffusion equations
cites work: Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
cites work: Numerical methods for the two-dimensional multi-term time-fractional diffusion equations
DOI: 10.1016/J.APNUM.2021.05.025
description: scientific article; zbMATH DE number 7371860