Error estimate of a fully discrete local discontinuous Galerkin method for variable-order time-fractional diffusion equations (Q2077782)

scientific article; zbMATH DE number 7479330

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English	Error estimate of a fully discrete local discontinuous Galerkin method for variable-order time-fractional diffusion equations	scientific article; zbMATH DE number 7479330

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instance of

scholarly article

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title

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

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Communications on Applied Mathematics and Computation

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publication date

22 February 2022

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zbMATH Keywords

variable-order derivative

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discontinuous Galerkin method

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stability

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error estimates

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s42967-020-00081-7

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cites work

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Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation

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Feller semigroups obtained by variable order subordination

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A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

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Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

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Extended algorithms for approximating variable order fractional derivatives with applications

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Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations

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High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation

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Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations

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Caputo derivatives of fractional variable order: numerical approximations

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Partial fractional derivatives of Riesz type and nonlinear fractional differential equations

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Wellposedness and regularity of the variable-order time-fractional diffusion equations

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Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems

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Analysis of a new finite difference/local discontinuous Galerkin method for the fractional diffusion-wave equation

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Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations

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Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

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A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation

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Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

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Identifiers

zbMATH Open document ID

1499.65538

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Mathematics Subject Classification ID

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10.1007/S42967-020-00081-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2077782