Solving stiff, singular, and singularly perturbed initial value problems (IVPs) has always
been challenging for researchers working in different fields of science and engineering. In …

Recently, block backward differentiation formulas (BBDFs) are used successfully for solving
stiff differential equations. In this article, a class of hybrid block backward differentiation …

This paper aims to select the best value of the parameter ρ from a general set of linear
multistep formulae which have the potential for efficient implementation. The ρ-Diagonally …

∑ ∑ 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 …

Numerical methods having the property of preserving an asymptotic solution of a system of
ordinary differential equations are regular methods. This paper considers the conditions that …

A continuous integration method based on the hybrid third derivative block method is
constructed and used to generate solution for stiff systems of first order ordinary differential …

Multistep methods for the numerical solution of ordinary differential equations are an
important class of applied mathematical techniques. This paper is motivated by recently …

A class of second derivative Runge Kutta methods (SD-RKM) which has a simple
transformation to the general linear methods (GLM) are employed for the numerical …

ABSTRACT A family of A-stable generalized hybrid multistep methods that preserves the
equilibrium solution of ordinary differential equations is presented for the solution of stiff …

This paper considers second derivative multistep methods with nested hybrid evaluation
(MMNHE). The methods derived are A-stable for step number k= 1 (1) 8. The schemes have …