Numerical method for a chemical nonlinear reaction boundary value problem

A second order singularly perturbed differential equation with nonlinear source term modelling chemical processes on semi-infinite interval is considered. The question of transformation of the boundary conditions to a finite interval is studied. We proved that the problem posed on a finite interval does not involve a distinct boundary layer and can be solved with the use of an upwind difference scheme that is uniformly convergent with respect to the small parameter. Numerical experiments are discussed.