Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
DOI10.1016/j.jcp.2015.06.025zbMath1349.65353OpenAlexW755756226MaRDI QIDQ2374676
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://eprints.qut.edu.au/101398/1/__qut.edu.au_Documents_StaffHome_StaffGroupD%24_dearaugo_Desktop_Compact.Difference..pdf
stabilityconvergencecompact difference schemedistributed-order fractional derivativediffusion-wave equation
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
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution of distributed order fractional differential equations
- Numerical methods and analysis for a class of fractional advection-dispersion models
- A compact finite difference scheme for the fractional sub-diffusion equations
- Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
- Some aspects of fractional diffusion equations of single and distributed order
- Fractional-order system identification based on continuous order-distributions
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Numerical analysis for distributed-order differential equations
- Numerical solution of the space fractional Fokker-Planck equation.
- Variable order and distributed order fractional operators
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Distributed-order fractional diffusions on bounded domains
- Distributed order calculus and equations of ultraslow diffusion
- A fully discrete difference scheme for a diffusion-wave system
- Matrix approach to discrete fractional calculus III: non-equidistant grids, variable step length and distributed orders
- Time-fractional Diffusion of Distributed Order
- Distributed-Order Dynamic Systems
- Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
- DISTRIBUTED ORDER FRACTIONAL SUB-DIFFUSION