Numerical algorithms for the time‐Caputo and space‐Riesz fractional Bloch‐Torrey equations (Q6071671)

scientific article; zbMATH DE number 7771414

Language	Label	Description	Also known as
English	Numerical algorithms for the time‐Caputo and space‐Riesz fractional Bloch‐Torrey equations	scientific article; zbMATH DE number 7771414

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instance of

scholarly article

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title

Numerical algorithms for the time‐Caputo and space‐Riesz fractional Bloch‐Torrey equations (English)

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Numerical Methods for Partial Differential Equations

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publication date

28 November 2023

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zbMATH Keywords

Caputo derivative

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fractional Bloch-Torrey equations

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fractional-compact formula

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Riesz derivative

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/num.22451

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cites work

Q4233638

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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

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The accuracy and stability of an implicit solution method for the fractional diffusion equation

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A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

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

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

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Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations

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High-order numerical algorithms for Riesz derivatives via constructing new generating functions

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High‐order algorithms for Riesz derivative and their applications (V)

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On Riesz derivative

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Regularity of the solution to Riesz-type fractional differential equation

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Numerical simulation for conservative fractional diffusion equations by an expanded mixed formulation

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A mixed‐type Galerkin variational formulation and fast algorithms for variable‐coefficient fractional diffusion equations

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Modeling and computing of fractional convection equation

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Spectral element method with geometric mesh for two-sided fractional differential equations

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Numerical Solution of Space-Time-Fractional Reaction-Diffusion Equations via the Caputo and Riesz Derivatives

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

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Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension

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A high-order difference scheme for the space and time fractional Bloch-Torrey equation

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A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D

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High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives

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Some high order difference schemes for the space and time fractional Bloch-Torrey equations

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

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A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements

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Identifiers

DOI

10.1002/num.22451

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6071671