A domain decomposition method for time fractional reaction-diffusion equation.
The computational complexity of one-dimensional time fractional reaction-diffusion equation is O(N²M) compared with O(NM) for classical integer reaction-diffusion equation. Parallel computing is used to overcome this challenge. Domain decomposition method (DDM) embodies large potential for parallelization of the numerical solution for fractional equations and serves as a basis for distributed, parallel computations. A domain decomposition algorithm for time fractional reaction-diffusion equation with implicit finite difference method is proposed. The domain decomposition algorithm keeps the same parallelism but needs much fewer iterations, compared with Jacobi iteration in each time step. Numerical experiments are used to verify the efficiency of the obtained algorithm.
College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China ; Science and Technology on Space Physics Laboratory, Beijing 100076, China ; School of Computer Science, National University of Defense Technology, Changsha 410073, China.
Chunye
0000-0003-0349-1100
C
Gong
College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China ; Science and Technology on Space Physics Laboratory, Beijing 100076, China.
Weimin
W
Bao
College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China.
Guojian
G
Tang
Department of Engineering Science, University of Oxford, Oxford OX2 0ES, UK.
Yuewen
Y
Jiang
School of Computer Science, National University of Defense Technology, Changsha 410073, China.
Jie
J
Liu
D000465:Algorithms; D008432:Mathematical Computing; D008962:Models, Theoretical; D015203:Reproducibility of Results