We develop a continuous linear multistep method using interpolation and collocation of the
approximate solution for the solution of first order ordinary differential equation with a …

In this paper, we propose the fourth stage of the inverse polynomial scheme for the
numerical solution of initial value problems of ordinary differential equations. Binomial …

This research paper presents the development, analysis, and implementation of a new
numerical integrator capable of solving first order initial value problems in ordinary …

ABSTRACT A lot of researchers have developed numerical schemes to solve initial value
problems of ordinary differential equations. While some have tried to improve on the existing …

This research paper succinctly explains the derivation of a numerical scheme from the
Newton-Raphson's iterative method. A juxtapose of this newly developed scheme with …

In this paper, we present a higher order of implicit hybrid block second derivative backward
differentiation formula for the solution of stiff initial value problems in ordinary differential …

In this paper, we used an interpolation function to derive a Numerical Integrator that can be
used for solving first order Initial Value Problems in Ordinary Differential Equation. The …

One numerical integrator is more stable than the other, if the latter has a larger absolute
stability region than the former. In this research paper, we show that the Region of Absolute …