Abstract:
In this research work, block hybrid methods for solving rst order initial value prob-
lems of ordinary di erential equations are proposed. The combination of power series and
exponential function are used as an approximate solution for the derivation of the methods in
block mode. The methods are derived via interpolation and collocation approaches and the
proposed methods are analysed based on the properties of the linear multistep method and the
methods are zero-stable, consistent and convergent. The derived methods are tested on real
life problems (SIR Model). Six numerical examples are solved to determine the e ciency and
accuracy of the derived methods and the numerical solutions obtained yielded better results
in term of accuracy when compared with some existing methods in the literature.
