scholarly journals Parallel implementation of a monotone domain decomposition algorithm for nonlinear reaction-diffusion problems

2005 ◽  
Vol 46 ◽  
pp. 290
Author(s):  
M. P. Hardy ◽  
I. Boglaev
Keyword(s):  
Domain Decomposition ◽  
Parallel Implementation ◽  
Reaction Diffusion ◽  
Decomposition Algorithm ◽  
Nonlinear Reaction ◽  
Domain Decomposition Algorithm ◽  
Diffusion Problems

scholarly journals A Domain Decomposition Method for Time Fractional Reaction-Diffusion Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Chunye Gong ◽  
Weimin Bao ◽  
Guojian Tang ◽  
Yuewen Jiang ◽  
Jie Liu
Keyword(s):  
Diffusion Equation ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Reaction Diffusion ◽  
Decomposition Algorithm ◽  
Reaction Diffusion Equation ◽  
Time Step ◽  
Domain Decomposition Algorithm ◽  
Fractional Reaction

The computational complexity of one-dimensional time fractional reaction-diffusion equation isO(N2M)compared withO(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.

Sign in / Sign up

Export Citation Format

Share Document