TY - JOUR
TI - A variational-perturbation method for solving the time-dependent singularly perturbed reaction-diffusion problems
AU - Zhou Guanglu
AU - Wu Boying
JN - Thermal Science
PY - 2016
VL - 20
IS - 13
SP - 801
EP - 804
PT - Article
AB - In this paper, we combine the variational iteration method and perturbation  theory to solve a time-dependent singularly perturbed reaction-diffusion  problem. The problem is considered in the boundary layers and outer region.  In the boundary layers, the problem is transformed by the variable  substitution, and then the variational iteration method is employed to solve  the transformed equation. In the outer region, we use the perturbation theory  to obtain the approximation equation and the approximation solution. The  final numerical experiments show that this method is accurate.