Title :
An Adaptive Moving Grid Method for Singularly Perturbed Reaction-Diffusion Problems with Mix Boundary Conditions
Author :
Li Bin Liu ; Aijia Ouyang
Author_Institution :
Dept. of Math. & Comput. Sci., Chizhou Coll., Chizhou, China
Abstract :
A singularly perturbed reaction-diffusion problem with mix boundary conditions is solved numerically by using an adaptive grid method. The mesh is constructed adaptively by a grid generation algorithm. A linear and a semi-linear examples are tested. It is shown from the numerical results that the presented method is very efficient.
Keywords :
boundary-value problems; perturbation theory; reaction-diffusion systems; adaptive moving grid method; grid generation algorithm; mix boundary conditions; singularly perturbed reaction-diffusion problems; Approximation methods; Boundary conditions; Convergence; Educational institutions; Equations; Monitoring; grid equidistribution; mix boundary conditions; reaction-diffusion; singularly perturbation;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2014 Seventh International Joint Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-5371-4