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A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation - MaRDI portal

A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation (Q2202433)

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English	A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation	scientific article

Statements

scholarly article

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A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation (English)

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Mostafa Abbaszadeh

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Applied Numerical Mathematics

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publication date

18 September 2020

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zbMATH Keywords

space fractional equation

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Riesz derivative

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error estimate

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Riemann-Liouville fractional

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ADI idea

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proper orthogonal decomposition (POD) method

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finite difference method

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apnum.2020.07.020

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Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation

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A finite difference scheme for partial integro-differential equations with a weakly singular kernel

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On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

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Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair

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Identifiers

zbMATH Open document ID

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10.1016/j.apnum.2020.07.020

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2202433

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