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.
