Over the years, researches have shown that fixed (constant) step-size methods have been
efficient in integrating a stiff differential system. It has however been observed that for some …

In the present scientific literature, block methods to solve stiff and nonlinear initial value
problems are in great use due to their better stability features and smaller computational …

Over the years, the systematic search for stiff model solvers that are near-optimal has
attracted the attention of many researchers. An attempt has been made in this research to …

In this research article, a pair of optimized two-step second derivative methods is derived
and implemented on stiff systems. The influence of equidistant and non-equidistant hybrid …

A major challenge in simulating chemical reaction processes is integrating the stiff systems
of Ordinary Differential Equations (ODEs) describing the chemical reactions due to stiffness …

In this research paper, a pair of three-step hybrid block methods is derived for the solutions
of linear and nonlinear first-order systems. The derivation is carried out with the aid of …

Multistep integration methods are being extensively used in the simulations of high
dimensional systems due to their lower computational cost. The block methods were …

ABSTRACT A new block of higher order hybrid super class of backward differentiation
formula for simulating stiff IVP of ODEs was developed. The proposed new scheme can …

This paper introduces a novel approach for solving first‐order stiff initial value problems
through the development of a one‐step family of three optimized second‐derivative hybrid …

Presented here is a one-step second derivative intra-point block numerical method of
uniform order eight for seeking the solution of stiff systems of ordinary dierential equations …