In this article, a variable step size strategy is adopted in formulating a new variable step
hybrid block method (VSHBM) for the solution of the Kepler problem, which is known to be a …

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 …

Integration of a larger stiff system of initial value problems emerging from chemical kinetics
models requires a method that is both efficient and accurate, with a large absolute stability …

Second derivative generalized backward differentiation formulae (SDGBDF) are developed
herein and applied as boundary value methods (BVMs) to solve stiff initial value problems …

The numerical solutions of initial value problems of general second order ordinary
differential equations have been studied in this work. A new class of continuous implicit …

A 5-step block predictor and 4-step corrector methods aimed at solving general second
order ordinary differential equations directly will be constructed and implemented on non …

An advanced method using block backward differentiation formula (BBDF) is introduced with
efficient strategy in choosing the step size and order of the method. Variable step and …

∑ ∑ Page 1 J. Numer. Math., Vol. 21, No. 2, pp. 157–172 (2013) DOI 10.1515/jnum-2013-0006
c de Gruyter 2013 A class of hybrid linear multistep methods with A(α)-stability properties for …

Over the last decade, the evolution of block backward differentiation formulas (BBDF) has
involved the modifications of the formulation techniques in order to solve ordinary differential …

In this paper, we present a class of A (α)-stable hybrid linear multistep methods for numerical
solving stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The …