In this research work, we present the derivation and implementation of an order six block
integrator for the solution of first-order ordinary differential equations using interpolation and …

In this paper, a collocation approach for solving initial value problem of ordinary differential
equations (ODEs) of the first order is presented. This approach consists of reducing the …

This paper focuses on the derivation of one-sixth hybrid block method for the general
solution of first order initial values problems of ordinary differential equations. The new …

This paper presents the development of a new one-step numerical technique for the solution
of initial value problems of first order differential equations by means of the interpolating …

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 …

Attracted by the importance of ordinary differential equations in many physical situations like,
engineering, business and health care in particular, an effective and successful numerical …

In this paper, we developed a new continuous block method by the method of interpolation
and collocation to derive new scheme. We adopted the use of power series as a basis …

Abstract Hybrid Stomer Cowell method was developed using the method of interpolation of
the appropriate solution and collocation of the differential system. The method is …

In this paper, we developed a new continuous block method using the approach of
collocation of the differential system and interpolation of the power series approximate …

This researchpaper examines a computational approach to solving the Verhulst–Pearl
Model (often called the Logistic Model). The paper also examines the applications of such a …