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 …

This paper considers the extension of the popular Runge-Kutta methods (RKM) to second
derivative Runge-Kutta methods (SDRKMs) for the direct solution of stiff initial value …

A class of variable order second derivative backward differentiation formula with recursive
hybrid evaluation is presented. The modified second derivative backward differentiation …

A family of variable order nested hybrid multistep method for the numerical integration of stiff
initial value problems of an ordinary differential equation is presented in this paper. These …

A class of high-order continuous extended linear multistep methods (HOCELMs) is
proposed for solving systems of ordinary differential equations (ODEs). These continuous …