Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium
DOI10.1007/s10915-014-9874-5zbMath1319.65084OpenAlexW2046166748MaRDI QIDQ2355556
Publication date: 24 July 2015
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-014-9874-5
stabilityconvergencenumerical experimentvariable coefficientalternating direction implicit schemefractional Cattaneo equationcompact Crank-Nicolson scheme
Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)
Related Items (40)
Cites Work
- Unnamed Item
- Unnamed Item
- A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions
- A compact difference scheme for the fractional diffusion-wave equation
- A compact finite difference scheme for the fractional sub-diffusion equations
- Solutions of the space-time fractional Cattaneo diffusion equation
- The Grünwald-Letnikov method for fractional differential equations
- Compact finite difference method for the fractional diffusion equation
- Alternating direction methods for three space variables
- A second-order accurate numerical method for the two-dimensional fractional diffusion equation
- Anomalous diffusion modeling by fractal and fractional derivatives
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
- A fast iterative solver for the variable coefficient diffusion equation on a disk
- A second-order accurate numerical approximation for the fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
- Finite difference methods for two-dimensional fractional dispersion equation
- Explicit and implicit finite difference schemes for fractional Cattaneo equation
- An unconditionally stable andO(?2 +h4) orderL? convergent difference scheme for linear parabolic equations with variable coefficients
- Variational Principles for Propagation Speeds in Inhomogeneous Media
- Lévy Flights in Inhomogeneous Media
- Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Hyperbolic subdiffusive impedance
- The generalized Cattaneo equation for the description of anomalous transport processes
- Stationarity$ndash$conservation laws for fractional differential equations with variable coefficients
- A High-Order Difference Scheme for the Generalized Cattaneo Equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium