The unstructured mesh finite element method for the two-dimensional multi-term time-space fractional diffusion-wave equation on an irregular convex domain
type: Item
instance of: scholarly article
title: The unstructured mesh finite element method for the two-dimensional multi-term time-space fractional diffusion-wave equation on an irregular convex domain
zbMATH Open document ID: 1407.65156
author: Wenping Fan
author: Xiaoyun Jiang
author: Fawang Liu
author: Vo V. Anh
published in: Journal of Scientific Computing
publication date: 2018-12-13T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 6993412
zbMATH Keywords: multi-term time-space fractional diffusion-wave equation
zbMATH Keywords: irregular convex domain
zbMATH Keywords: unstructured mesh
zbMATH Keywords: stability
zbMATH Keywords: convergence
describes a project that uses: Gmsh
MaRDI profile type: Publication
full work available at URL: s10915-018-0694-x
OpenAlex ID: W2793924997
cites work: Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives
cites work: Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations
cites work: Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
cites work: Gaussian quadrature formulas for triangles
cites work: Q4167986
cites work: Variational formulation for the stationary fractional advection dispersion equation
cites work: Variational solution of fractional advection dispersion equations on bounded domains in ℝd
cites work: Parameter estimation for the fractional fractal diffusion model based on its numerical solution
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: Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate
cites work: The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations
cites work: Numerical approximation of the fractional Laplacian via \(hp\)-finite elements, with an application to image denoising
cites work: Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
cites work: Applications of fractional calculus in physics
cites work: Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
cites work: Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative
cites work: The Galerkin finite element method for a multi-term time-fractional diffusion equation
cites work: Influence of Hall current on the flows of a generalized Oldroyd-B fluid in a porous space
cites work: Exact solutions for some oscillating motions of a fractional Burgers' fluid
cites work: Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Unsteady rotating flows of a viscoelastic fluid with the fractional Maxwell model between coaxial cylinders
cites work: Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations
cites work: Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation
cites work: Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate
cites work: Numerical analysis of the space fractional Navier-Stokes equations
cites work: An exact solution of start-up flow for the fractional generalized Burgers' fluid in a porous half-space
cites work: Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains
cites work: Galerkin finite element approximation of symmetric space-fractional partial differential equations
cites work: Two mixed finite element methods for time-fractional diffusion equations
cites work: A Galerkin finite element method for a class of time-space fractional differential equation with nonsmooth data
cites work: A numerical approach for the Riesz space-fractional Fisher' equation in two-dimensions
cites work: Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation
DOI: 10.1007/S10915-018-0694-X
description: scientific article; zbMATH DE number 6993412