Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation (Q6186146)

scientific article; zbMATH DE number 7798667

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English	Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation	scientific article; zbMATH DE number 7798667

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instance of

scholarly article

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title

Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation (English)

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DOI

10.3934/nhm.2023064

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published in

Networks and Heterogeneous Media

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publication date

2 February 2024

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Mathematics Subject Classification ID

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multi-term fractional derivative

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ADI scheme

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L1 scheme

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finite difference method

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time fractional

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/nhm.2023064

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OpenAlex ID

W4382722520

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cites work

Pointwise-in-time error estimate of an ADI scheme for two-dimensional multi-term subdiffusion equation

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Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation

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Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions

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Compact alternating direction implicit scheme for integro-differential equations of parabolic type

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Multi-term time-fractional Bloch equations and application in magnetic resonance imaging

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An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions

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Fast Finite Difference Schemes for Time-Fractional Diffusion Equations with a Weak Singularity at Initial Time

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A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative

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A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues

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A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems

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

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\(\alpha\)-robust \(H^1\)-norm convergence analysis of ADI scheme for two-dimensional time-fractional diffusion equation

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

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Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

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A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps

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Mathematics(1 entry)

mardi Publication:6186146