There have appeared in the literature a lot of k-step block methods for solving initial-value
problems. The methods consist in a set of k simultaneous multistep formulas over k non …

This paper discussed the development of one-step, one hybrid block method for the solution
of first order initial value problems. Two functions were combined to form the basis function …

This paper concerns the derivation of continuous linear multistep methods for solving first-
order initial value problems (IVPs) of ordinary differential equations (ODEs) with step …

This paper presents the derivation and implementation of a block integrator for the solution
of stiff and oscillatory first-order initial value problems of Ordinary Differential Equations …

There are dozens of block methods in literature intended for solving second order initial-
value problems. This article aimed at the analysis of the efficiency of k-step block methods …

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 …

Abstract The new Hybrid Adams type Block Methods (HATBMs) for step length k= 2, 3 and 4
were developed for the solution of first order ordinary differential equations. Collocation and …

This research paper examines the derivation and implementation of a new 4-point block
method for direct integration of first-order ordinary differential equations using interpolation …

This paper focuses on derivation of two implicit hybrid Block methods at and one method at
Each block method produced at yielded uniform order 5 and 7 respectively, while the Block …

Fully Implicit Five-quarters Computational Algorithms of Order Five for Numerical Approximation
of Second Order IVPs in ODEs Page 1 Journal of Advances in Mathematics and Computer …