In this paper, we consider the derivation of hybrid block method for the solution of general
first order Initial Value Problem (IVP) in Ordinary Differential Equation. We adopted the …

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 …

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 …

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 …

In this paper, we develop Adam's Block with first and second derivative future points for
solving linear and non-linear first order initial value problems in ordinary differential …

In this work, a convergent hybrid block method (CHBM) with two off-grid points for direct
integration of first, second, and third-order initial value problems (IVPs) is proposed. The …

In this paper, we present a ninth–order block hybrid method for the numerical solution of stiff
and non–stiff systems of first–order differential equations. The method is based on an …

In this paper, we consider the derivation of hybrid block method for the solution of general
first order Initial Value Problem (IVP) in Ordinary Differential Equation. We adopted the …

In this paper, an explicit and single step Runge-Kutta iterative integrator of third order has
been developed which is used to solve both autonomous and non-autonomous type of initial …

In this research work, we focus on development of a numerical algorithm which is well suited
as integrator of initial value problems of order two. Exponential function is fitted into the …