In this paper, a new modified Runge-Kutta-Nyström method of third algebraic order is
developed. The new modified RKN method has phase-lag and amplification error of order …

In the present paper, we will investigate a family of explicit four-step methods first introduced
by Anastassi and Simos [1] for the case of vanishing of phase-lag and its first derivative …

We use a methodology of optimization of the efficiency of a hybrid two‐step method for the
numerical solution of the radial Schrödinger equation and related problems with periodic or …

The development of a new five-stages symmetric two-step method of fourteenth algebraic
order with vanished phase-lag and its first, second, third and fourth derivatives is analyzed in …

A two stage symmetric two-step method with vanished phase-lag and its first, second, third
and fourth derivatives with low computational cost is developed in this paper for the first time …

A Runge–Kutta type (four stages) eighth algebraic order two-step method with phase-lag
and its first, second, third and fourth derivatives equal to zero is produced in this paper. We …

A family of two stage low computational cost symmetric two-step methods with vanished
phase-lag and its derivatives is developed in this paper. More specifically we produce: a two …

The closed Newton‐Cotes differential methods of high algebraic order for small number of
function evaluations are unstable. In this work, we propose a new closed Newton‐Cotes …

In this paper, we consider the integration of systems of second‐order linear inhomogeneous
initial value problems with constant coefficients. Hybrid Numerov methods are used that are …

In this paper we introduce, for the first time in the literature, a three-stages two-step method.
The new algorithm has the following characteristics:(1) it is a two-step algorithm,(2) it is a …