An alternating segment Crank-Nicolson parallel difference scheme for the time fractional sub-diffusion equation
DOI10.1186/s13662-018-1749-xzbMath1448.65124OpenAlexW2888574706WikidataQ129399214 ScholiaQ129399214MaRDI QIDQ1713528
Lifei Wu, Yanhua Cao, Xiao-zhong Yang
Publication date: 25 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1749-x
stabilityconvergenceparallel computingalternating segment Crank-Nicolson schemetime fractional sub-diffusion 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)
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Cites Work
- Unnamed Item
- A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation
- A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation
- Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations
- The error analysis of Crank-Nicolson-type difference scheme for fractional subdiffusion equation with spatially variable coefficient
- A compact finite difference scheme for the fractional sub-diffusion equations
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Implicit difference approximation for the time fractional diffusion equation
- Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- An efficient parallel algorithm for Caputo fractional reaction-diffusion equation with implicit finite-difference method
- A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation
- A new approach for the nonlinear fractional optimal control problems with external persistent disturbances
- Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- A class of alternating group method of Burgers' equation
- Parallel solution of partial differential equations. Proceedings of a workshop, Univ. of Minnesota, Minneapolis, MN, USA, June 9--13, 1997
- A new fractional operator of variable order: application in the description of anomalous diffusion
- A parallel algorithm for the Riesz fractional reaction-diffusion equation with explicit finite difference method
- A second-order accurate numerical approximation for the fractional diffusion equation
- An efficient parallel algorithm for the numerical solution of fractional differential equations
- Fractional Partial Differential Equations and Their Numerical Solutions
- A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations
- The computational method for nonlinear parabolic equation