This study aims to develop, analyze and implement an efficient method for approximating
two-point boundary value problems of ordinary differential equations. The method contains …

An optimized one-step hybrid block method for the numerical solution of first-order initial
value problems is presented. The method takes into consideration three hybrid points which …

An optimized two-step hybrid block method for the numerical solution of third-order initial
value problems is presented. The method takes into regard three hybrid points which are …

This paper consider a three step block method with two hybrid points chosen within grid
interval [xn, xn+ 1]. The new hybrid block method is adopted for directly solving third order …

In this article, my focus is the derivation, analysis and implementation of a new modified one-
step implicit hybrid block method with five off-step points. The derived method is to solve …

In this paper, we develop one point, five hybrid points, block method using the method of
collocation and interpolation of the power series approximate solution to develop a linear …

This manuscript proposes an implicit two-step hybrid block method which incorporates fourth
derivatives, for solving linear and non-linear third-order boundary value problems in ODEs …

This paper presents the construction and implementation of a three-step optimized hybrid
method for solving stiff system of first order initial value problems of ordinary differential …

A new single-step hybrid block method with three off-step points for the solution of first order
ordinary differential equations is proposed. The strategy employed to develop this method is …

An effective one-step hybrid block for getting the approximate solution of a fifth-order IVP
with applications to problems in the sciences and engineering is constructed in this study …