ONE-STEP COLLOCATION HYBRID METHOD FOR SOLVING FIST ORDER ORDINARY DIFFERENTIAL EQUATIONS

Abstract

In this thesis, two one-step collocation hybrid methods for treating first order ordinary differential equation were developed. They were obtained based on continuous collocation method. The resulting methods were evaluated at some points to obtain some discrete schemes. Stability properties analysis were clone, and it showed that the methods converges (ash --. 0 and n --- x). Numerical computations were done on some sample problems on a micro-computer. The numerical results obtained demonstrate the efficiency of the method over existing methods.