New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
DOI10.1016/j.apnum.2018.03.005zbMath1393.65015OpenAlexW2790130100WikidataQ130139547 ScholiaQ130139547MaRDI QIDQ1748055
Publication date: 2 May 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.03.005
finite difference methodquadrature rulehigh accuracystability and convergenceboundary value methoddistributed-order derivative
Fractional derivatives and integrals (26A33) 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) Numerical integration (65D30) Fractional partial differential equations (35R11) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)
Related Items (32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- Boundary value methods for Volterra integral and integro-differential equations
- On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
- Numerical approximation of distributed order reaction-diffusion equations
- A numerical method for solving distributed order diffusion equations
- A new conservative finite difference scheme for the Rosenau equation
- Numerical analysis for distributed-order differential equations
- Convergence and stability of boundary value methods for ordinary differential equations
- Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations
- Fractional convolution quadrature based on generalized Adams methods
- Some high-order difference schemes for the distributed-order differential equations
- Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
- 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
- Distributed-Order Dynamic Systems
- A class of second order difference approximations for solving space fractional diffusion equations
- DISTRIBUTED ORDER FRACTIONAL SUB-DIFFUSION
This page was built for publication: New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order