A difference scheme with intrinsic parallelism for fractional diffusion-wave equation with damping
DOI10.1007/S10255-021-1015-YzbMath1482.65155OpenAlexW3191185470MaRDI QIDQ2046244
Min Li, Lifei Wu, Xiao-zhong Yang
Publication date: 17 August 2021
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-021-1015-y
stabilityparallel computingintrinsic parallelismASC-N schemetime fractional diffusion-wave equation with damping
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) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Cites Work
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation
- Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
- 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
- The modified simple equation method and the multiple exp-function method for solving nonlinear fractional Sharma-Tasso-Olver equation
- A compact difference scheme for the fractional diffusion-wave equation
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Using parallel banded linear system solvers in generalized eigenvalue problems
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Parallel solution of partial differential equations. Proceedings of a workshop, Univ. of Minnesota, Minneapolis, MN, USA, June 9--13, 1997
- Modified projective synchronization of fractional-order chaotic systems with different dimensions
- Compact finite difference schemes for the time fractional diffusion equation with nonlocal boundary conditions
- On global existence for mass-supercritical nonlinear fractional Hartree equations
- Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
- The analytical solution and numerical solution of the fractional diffusion-wave equation with damping
- Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- A parallel algorithm for the Riesz fractional reaction-diffusion equation with explicit finite difference method
- Wavelets method for the time fractional diffusion-wave equation
- An efficient parallel algorithm for the numerical solution of fractional differential equations
- High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion
- Fractional Partial Differential Equations and Their Numerical Solutions
- The alternating segment difference scheme for Burgers' equation
- Unnamed Item
- Unnamed Item
This page was built for publication: A difference scheme with intrinsic parallelism for fractional diffusion-wave equation with damping
