Thus, this is an example of using the method of matched asymptotic expansions to satisfy the given initial condition by the long-distance approximation of the solution to a nonsingular partial ...

A. Prothero, A. Robinson, On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations, Mathematics of Computation, Vol. 28, No. 125 (Jan., 1974), pp.