In this paper, an explicit Runge–Kutta method for solving directly fourth-order ordinary
differential equations (ODEs) is constructed and denoted as (RKFD). We present a relevant …

This paper carries a different approach of collection and interpolation to develop a tenth
block method for the numerical solution of linear or nonlinear ordinary differential equations …

The block hybrid collocation method with three off‐step points is proposed for the direct
solution of fourth order ordinary differential equations. The interpolation and collocation …

In this paper, a new method for solving fourth-order BVPs is presented. The method is based
on the first type Lidstone interpolating function. One of the greatest features of the Lidstone …

Euler-Bernoulli beam equation is widely used in engineering, especially civil and
mechanical engineering to determine the deflection or strength of bending beam. In physical …

In this study, fifth-order and sixth-order diagonally implicit Runge–Kutta type (DIRKT)
techniques for solving fourth-order ordinary differential equations (ODEs) are derived which …

In this paper, RKM integrators for solving special fifth-order ordinary differential equations
(ODEs) have been generalized to solve two classes of general quasi-linear fifth-order ODEs …

In this paper we import a novel approach to solve the non-linear fourth order boundary value
problem. The basic strategy depends on integral operator equation which includes Green's …

EDIRKTO is an Implicit Type Runge-Kutta Method of Diagonally Embedded pairs, is a novel
approach presented in the paper that may be used to solve 4th-order ordinary differential …

The primary contribution of this work is to develop direct processes of explicit Runge-Kutta
type (RKT) as solutions for any fourth-order ordinary differential equation (ODEs) of the …