This paper is on the development of a new scheme for the solution of initial value problems
in ordinary differential equations. We present some basic concepts and fundamental …

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 …

The paper presents a new numerical method for the solution of Initial Value Problems (IVPs)
of first order Ordinary Differential Equations (ODEs) via a transcendental basis function …

In this article, we developed a new numerical approach which is mainly concentrates to
solve some complicated initial value problems of ordinary differential equations. The …

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 …

We emphasized explicitly on the derivation and implementation of a new numerical
algorithm scheme which gave stable results that show the applicability of the method. In this …

In this study, we present a 6-step linear multistep mehod in union with some newton-cote
quadrature family for solving third order Linear Fredholm Integro-Differential Equation …

In this paper, we developed a numerical algorithm which aimed to solve some first order
initial value problems of ordinary differential equations. We explicitly present the breakdown …

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 …

In this paper, we developed a new numerical scheme which aimed to solve some initial
value problems of ordinary differential equations. The full breakdown of this new numerical …