A novel method for a class of nonlinear singular perturbation problems

摘要

In this paper, we present a boundary value method for solving a class of nonlinear, singularly perturbed two-point boundary value problems with a boundary layer at the left of the underlying interval. This method is based on ideas of singular perturbation analysis by constructing a modified problem with a boundary layer correction. We deal with the boundary layer separately, and use series method. The condition at infinity will be applied to the corresponding Padé approximates of the obtained series solution.