An efficient numerical algorithm for solving the two-dimensional fractional cable equation
type: Item
instance of: scholarly article
title: An efficient numerical algorithm for solving the two-dimensional fractional cable equation
zbMATH Open document ID: 1448.65109
author: Mingzhu Li
author: Qiang Xu
author: Lijuan Chen
author: Xiaohua Ding
published in: Advances in Difference Equations
publication date: 2019-02-04T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7011489
zbMATH Keywords: fractional cable equation
zbMATH Keywords: Fourier analysis
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s13662-018-1883-5
OpenAlex ID: W2901095668
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: Waiting-times and returns in high-frequency financial data: An empirical study
cites work: Applications of Fractional Calculus to the Theory of Viscoelasticity
cites work: Particle tracking for fractional diffusion with two time scales
cites work: The fractional diffusion model with an absorption term and modified Fick's law for non-local transport processes
cites work: Stability and Hopf Bifurcation of Fractional-Order Complex-Valued Single Neuron Model with Time Delay
cites work: Fractional spectral collocation methods for linear and nonlinear variable order FPDEs
cites work: Compact finite difference scheme for the solution of time fractional advection-dispersion equation
cites work: A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
cites work: Implicit finite difference method for fractional percolation equation with Dirichlet and fractional boundary conditions
cites work: A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
cites work: Quintic nonpolynomial spline method for the solution of a second-order boundary-value problem with engineering applications
cites work: A higher order non-polynomial spline method for fractional sub-diffusion problems
cites work: A stable numerical method for multidimensional time fractional Schrödinger equations
cites work: A numerical method for delayed fractional-order differential equations
cites work: Finite difference/spectral approximations for the fractional cable equation
cites work: Implicit compact difference schemes for the fractional cable equation
cites work: The discontinuous Galerkin finite element method for fractional cable equation
cites work: Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation
cites work: Numerical solution for a variable-order fractional nonlinear cable equation via Chebyshev cardinal functions
cites work: Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition
cites work: Nonsmooth data error estimates for FEM approximations of the time fractional cable equation
cites work: Numerical identification of the fractional derivatives in the two-dimensional fractional cable equation
cites work: A two-grid finite element approximation for a nonlinear time-fractional Cable equation
cites work: Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation
cites work: Finite difference approximations for the fractional Fokker-Planck equation
DOI: 10.1186/S13662-018-1883-5
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description: scientific article; zbMATH DE number 7011489