Following the ideas of Lagaris et al.(IEEE Trans Neural Netw 9 (5): 987–1000, 1998), we
use Neural Networks to solve approximatively first-order single-delay differential equations …

There are number of researches on mathematic and economic employments as well as on
the management methods of economic systems and processes. This article is devoted to the …

A new finite difference pair is produced in this paper, for the first time in the literature. The
characteristics of the new finite diffence pair are:(1) is of symmetric two-step,(2) is four …

In this paper, we consider the integration of the special second‐order initial value problem.
Hybrid Numerov methods are used, which are constructed in the sense of Runge‐Kutta …

An effectively four-stage, sixth-order, hybrid explicit Numerov-type method is presented for
the solution of the special second-order initial value problem. The new method uses variable …

In this paper and for the first time in this scientific discipline, we introduce a new multi-stage
two-step teeming in phase algorithm with meliorated characteristics. A theoretical …

We consider the integration of the special second‐order initial value problem of the form. A
recently introduced family of 7 stages, eighth‐order methods, sharing constant coefficients …

Runge‐Kutta pairs sharing orders 5 and 4 are among the most celebrated methods for
solving initial value problems. Here, after considering the phase lag as a function of …

Abstract Two new Runge–Kutta (RK) pairs of orders 6 (4) and 7 (5) are presented for solving
numerically the inhomogeneous linear initial value problems with constant coefficients …

A new family of effectively nine stages, ninth-order hybrid explicit Numerov-type methods is
presented for the solution of some special second order Initial Value Problem. After dealing …