Galerkin finite element method for a two-dimensional tempered time-space fractional diffusion equation with application to a Bloch-Torrey equation retaining Larmor precession

DOI10.1016/j.matcom.2022.11.024OpenAlexW4311120744MaRDI QIDQ6102657

L. B. Feng, V. V. Anh, Fawang Liu

Publication date: 23 June 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.11.024

zbMATH Keywords

Galerkin finite element methodunstructured meshfast algorithmfractional Bloch-Torrey equationtempered operator

Mathematics Subject Classification ID

Numerical analysis (65-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

A hybrid spectral approach based on 2D cardinal and classical second kind Chebyshev polynomials for time fractional 3D Sobolev equation

Cites Work

• Unnamed Item
• Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
• Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations
• Solution of generalized fractional reaction-diffusion equations
• Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging
• A finite volume method for the two-dimensional time and space variable-order fractional Bloch-Torrey equation with variable coefficients on irregular domains
• A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem
• An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains
• Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains
• Fast and efficient finite difference/finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equation
• An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains
• Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains
• Space-time finite element method for the distributed-order time fractional reaction diffusion equations
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions
• Investigation of Changes in Anomalous Diffusion Parameters in a Mouse Model of Brain Tumour
• Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
• Fractional Equations and Models
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
• Variational formulation for the stationary fractional advection dispersion equation
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
• Analytical and numerical investigation on the tempered time-fractional operator with application to the Bloch equation and the two-layered problem

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