scholarly journals Time Splitting and Grid Refinement Methods in the Lattice Boltzmann Framework for Solving a Reaction-Diffusion Process

2006 ◽  
pp. 70-77
Author(s):  
Davide Alemani ◽  
Bastien Chopard ◽  
Josep Galceran ◽  
Jacques Buffle
Keyword(s):  
Diffusion Process ◽  
Lattice Boltzmann ◽  
Reaction Diffusion ◽  
Grid Refinement ◽  
Time Splitting

Variational Iteration Method for a Nonlinear Reaction-Diffusion Process

2008 ◽  
Vol 6 (1) ◽  
Author(s):  
Shu-Qiang Wang ◽  
Ji-Huan He
Keyword(s):  
Exact Solution ◽  
Diffusion Process ◽  
Iteration Method ◽  
Unknown Parameter ◽  
Reaction Diffusion ◽  
Variational Iteration Method ◽  
Rigorous Derivation ◽  
Variational Iteration ◽  
Nonlinear Reaction ◽  
The Given

An extremely simple and elementary, but rigorous derivation of temperature distribution of a reaction-diffusion process is given using the variational iteration method. In this method, a trial function (an initial solution) is chosen with some unknown parameter, which is identified after a few iterations according to the given boundary conditions. Comparison with the exact solution shows that the method is very effective and convenient.

Sign in / Sign up

Export Citation Format

Share Document