Notice of Retraction: An effective computational method for periodical model with small parameter

In this paper the equation with periodical condition and small parameter is considered. The equation will lose boundary condition and lead to large oscillation in boundary layer. The properties of the equation is studied firstly. The analytical solution is decomposed into the smooth component and the singular component. The asymptotic solution is proposed secondly. The asymptotic solution is used to solve the equation outside the boundary layer. Based on Shishkin-type mesh, fitted mesh method is presented for boundary layer thirdly. Error estimation of our method is studied finally.