Construction and Implementation of some Hybrid Schemes for solution of Ordinary DifferentialEquations

Abstract

In this research work, we are concerned with the construction and implementation of block hybrid methods for solving ordinary differential equations using power series. We equally develop a block hybrid method of step three ( i:e k = 3) with two off grid points collocation.We also analysed the order, error constant, and convergence properties of the schemes derived. A numerical experiment of the block method was done on both stiff and non-stiff problrems and the results show a high degree of consistency with the theoretical analysis