Error estimates of a continuous Galerkin time stepping method for subdiffusion problem (Q2051083)

scientific article; zbMATH DE number 7389365

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English	Error estimates of a continuous Galerkin time stepping method for subdiffusion problem	scientific article; zbMATH DE number 7389365

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instance of

scholarly article

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title

Error estimates of a continuous Galerkin time stepping method for subdiffusion problem (English)

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Journal of Scientific Computing

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publication date

1 September 2021

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zbMATH Keywords

subdiffusion problem

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continuous Galerkin time stepping method

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Laplace transform

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Caputo fractional derivative

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10915-021-01587-9

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cites work

The lumped mass FEM for a time-fractional cable equation

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High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation

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Q4941491

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An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data

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Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations

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Numerical approximation of stochastic time-fractional diffusion

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Optimal error analysis of a FEM for fractional diffusion problems by energy arguments

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Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data

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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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Analysis of the L1 scheme for fractional wave equations with nonsmooth data

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Analysis of a Time-Stepping Scheme for Time Fractional Diffusion Problems with Nonsmooth Data

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Numerical analysis of two Galerkin discretizations with graded temporal grids for fractional evolution equations

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Higher order finite difference method for the reaction and anomalous-diffusion equation

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Some second-order $\theta$ schemes combined with finite element method for nonlinear fractional cable equation

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Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

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Convolution quadrature time discretization of fractional diffusion-wave equations

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Error analysis of a high order method for time-fractional diffusion equations

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Time-stepping error bounds for fractional diffusion problems with non-smooth initial data

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Time-stepping discontinuous Galerkin methods for fractional diffusion problems

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An $L1$ Approximation for a Fractional Reaction-Diffusion Equation, a Second-Order Error Analysis over Time-Graded Meshes

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A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations

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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

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Too much regularity may force too much uniqueness

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

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Q4360234

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Higher order time stepping methods for subdiffusion problems based on weighted and shifted Grünwald-Letnikov formulae with nonsmooth data

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Two high-order time discretization schemes for subdiffusion problems with nonsmooth data

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A higher order numerical method for time fractional partial differential equations with nonsmooth data

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An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data

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An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

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Fractional Spectral Collocation Method

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An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation

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The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

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Identifiers

zbMATH Open document ID

1490.65215

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Mathematics Subject Classification ID

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10.1007/S10915-021-01587-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:2051083