INITIAL-VALUE TECHNIQUE FOR SINGULARLY PERTURBED BOUNDARY-VALUE-PROBLEMS FOR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS ARISING IN CHEMICAL REACTOR THEORY

An initial-value technique is presented for solving singularly perturb ed two-point boundary-value problems for linear and semilinear second- order ordinary differential equations arising in chemical reactor theo ry. In this technique, the required approximate solution is obtained b y combining solutions of two terminal-value problems and one initial-v alue problem which are obtained from the original boundary-value probl em through asymptotic expansion procedures. Error estimates for approx imate solutions are obtained. Numerical examples are presented to illu strate the present technique.