Abstract

This paper proposes a direct method of solution for second order initial value problems of ordinary differential equations. Its derivation adopts Taylor series expansion techniques and Dahlquist stability test model. It was revealed from the results obtained that the method is consistent, convergent and zero-stable. Numerical examples are solved to ensure accuracy of the method on both linear and non-linear initial value problems of second order ordinary differential equations.

Key words: Discrete, consistency, zero-stability, error constant, IVPs and convergence.