$\alpha$-robust error analysis of two nonuniform schemes for subdiffusion equations with variable-order derivatives (Q6057152)

scientific article; zbMATH DE number 7754879

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English	$\alpha$-robust error analysis of two nonuniform schemes for subdiffusion equations with variable-order derivatives	scientific article; zbMATH DE number 7754879

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scholarly article

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title

$\alpha$-robust error analysis of two nonuniform schemes for subdiffusion equations with variable-order derivatives (English)

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Journal of Scientific Computing

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publication date

25 October 2023

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zbMATH Keywords

subdiffusion equation with variable-order derivatives

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weak singularity

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nonuniform L1 scheme

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nonuniform Alikhanov scheme

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finite element method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10915-023-02357-5

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cites work

Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Variable-order fractional calculus: a change of perspective

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On an accurate discretization of a variable-order fractional reaction-diffusion equation

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Design of variable and adaptive fractional order FIR differentiators

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Numerical solutions of variable order time fractional $(1+1)$- and $(1+2)$-dimensional advection dispersion and diffusion models

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A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives

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Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations

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Error estimate of a fully discrete local discontinuous Galerkin method for variable-order time-fractional diffusion equations

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Exponential-sum-approximation technique for variable-order time-fractional diffusion equations

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The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations

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Fractional spectral collocation methods for linear and nonlinear variable order FPDEs

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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Optimal $L^\infty (L^2)$ error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem

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Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

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Direct discontinuous Galerkin method for solving nonlinear time fractional diffusion equation with weak singularity solution

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A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation

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Local error estimates of the fourth-order compact difference scheme for a time-fractional diffusion-wave equation

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A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

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A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient

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Nonuniform Alikhanov linearized Galerkin finite element methods for nonlinear time-fractional parabolic equations

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$\alpha$-robust $H^1$-norm analysis of a finite element method for the superdiffusion equation with weak singularity solutions

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Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

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A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity

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Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions

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Superconvergence analysis of finite element methods for the variable-order subdiffusion equation with weakly singular solutions

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Galerkin Finite Element Methods for Parabolic Problems

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Optimal spatial $H^1$-norm analysis of a finite element method for a time-fractional diffusion equation

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Blow-up of error estimates in time-fractional initial-boundary value problems

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$\beta$-robust superconvergent analysis of a finite element method for the distributed order time-fractional diffusion equation

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Superconvergence of a finite element method for the multi-term time-fractional diffusion problem

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A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

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$ \alpha $-robust $H^1$-norm error estimate of nonuniform Alikhanov scheme for fractional sub-diffusion equation

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Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem

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On the stability of the $L^2$ projection in $H^1(\Omega)$

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A sharp $\alpha$-robust $L^\infty (H^1)$ error bound for a time-fractional Allen-Cahn problem discretised by the Alikhanov $L2-1_\sigma$ scheme and a standard FEM

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Identifiers

zbMATH Open document ID

1526.65046

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Mathematics Subject Classification ID

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10.1007/S10915-023-02357-5

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Mathematics(1 entry)

mardi Publication:6057152

\(\alpha\)-robust error analysis of two nonuniform schemes for subdiffusion equations with variable-order derivatives (Q6057152)

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Mathematics(1 entry)