Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains
type: Item
instance of: scholarly article
title: Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains
zbMATH Open document ID: 1442.65268
author: Fawang Liu
author: Jing Li
author: L. B. Feng
author: Vo V. Anh
publication date: 2020-10-05T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 7255499
zbMATH Keywords: multi-term time-space fractional Bloch-Torrey equations
zbMATH Keywords: Riesz fractional operator
zbMATH Keywords: unstructured mesh
zbMATH Keywords: irregular domains
zbMATH Keywords: Galerkin finite element method
MaRDI profile type: Publication
full work available at URL: j.camwa.2019.01.007
OpenAlex ID: W2914535700
cites work: Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains
cites work: Multi-term time-fractional Bloch equations and application in magnetic resonance imaging
cites work: Numerical identification of the fractional derivatives in the two-dimensional fractional cable equation
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
cites work: Numerical methods for solving the multi-term time-fractional wave-diffusion equation
cites work: New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
cites work: Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
cites work: A new fractional finite volume method for solving the fractional diffusion equation
cites work: A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations
cites work: A novel finite volume method for the Riesz space distributed-order advection-diffusion equation
cites work: A novel finite volume method for the Riesz space distributed-order diffusion equation
cites work: A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain
cites work: The unstructured mesh finite element method for the two-dimensional multi-term time-space fractional diffusion-wave equation on an irregular convex domain
cites work: Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains
cites work: A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
cites work: A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
cites work: A high-order spectral method for the multi-term time-fractional diffusion equations
cites work: A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem
cites work: A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation
cites work: Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
cites work: A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D
cites work: Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation
cites work: A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation
cites work: Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations
cites work: Some high order difference schemes for the space and time fractional Bloch-Torrey equations
cites work: Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains
cites work: A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements
cites work: An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations
cites work: Q4233638
cites work: Variational formulation for the stationary fractional advection dispersion equation
cites work: Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid
cites work: Q4300595
Wikidata QID: Q128484117
DOI: 10.1016/J.CAMWA.2019.01.007
published in: Computers & Mathematics with Applications
description: scientific article