Abstract:
The aim of the report is to provide convenient predictor-corrector (P-C) methods
for obtaining accurate numerical solution at a
minimum cost to first order ordinary
differential equations
(ODE) with specified initial values. In pursuing this goal, a
unified development
of the most popular and efficient P-C methods are presented.
The derivation
of formulas and analysis of error propagation are included. Then each
method is coded using computer language. The numerical results were obtained
by
subjecting each method to a wide variety of test ODE, using a maximum of two cor
rector applications
and a uniform series of step size values. By systematic comparison
of the performance of each P-C method the most convenient P-C methods in terms of
accuracy and minimum cost are established.
