Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation (Q5033406)

scientific article; zbMATH DE number 7479125

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English	Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation	scientific article; zbMATH DE number 7479125

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instance of

scholarly article

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title

Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation (English)

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International Journal of Computer Mathematics

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publication date

22 February 2022

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zbMATH Keywords

tempered fractional PDEs

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space-time fractional diffusion equation

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alternating direction implicit (ADI) method

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unconditional stability and convergence analysis

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finite difference method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00207160.2020.1841175

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cites work

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Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation

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Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations

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Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

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A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation

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A high-order numerical algorithm for two-dimensional time-space tempered fractional diffusion-wave equation

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Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations

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An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation

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Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations

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Q3521017

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Identifiers

zbMATH Open document ID

1480.65200

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DOI

10.1080/00207160.2020.1841175

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5033406