Abstract: For the internal layer problem, firstly, the original
problem was partitioned into left and right problems from the
transfer point at the internal layer region. Then, through the
boundary value method, the left and right problems were converted
into non-singularly perturbed problems. And by boundary layer
correction technique, the original problem was directly converted
into two non-singularly perturbed problems. Lastly, the efficiency
of the boundary value method could be indicated by numerical tests.

Key words: boundary value method, singular perturbation, internal layer, boundary layer, spike-type solution