For any n and l values, we present a simple exact analytical solution of the radial
Schrödinger equation for the Kratzer potential within the framework of the asymptotic …

The standard monograph in this area is the book Exponential fitting by Ixaru and Vanden
Berghe (Kluwer, Boston-Dordrecht-London, 2004) but a fresh look on things is necessary …

Here an asymptotic study to the N-dimensional radial Schrödinger equation for the quark-
antiquark interaction potential employing asymptotic iteration method via an ansatz to the …

The investigation of the impact of the vanishing of the phase-lag and its first and second
derivatives on the efficiency of a four-step Runge–Kutta type method of sixth algebraic order …

This research work is oriented in the behaviour of oscillating systems. In order to study such
problems, we deal with the solution of ordinary second order differential equations. A …

Heavy quarkonia, Bc-meson, and CS-meson masses are calculated within the framework of
the N-dimensional radial Schrodinger equation. The Cornell potential is extended by …

The N-radial Schrödinger equation is analytically solved. The Cornell potential is extended
to finite temperature. The energy eigenvalues and the wave functions are calculated in the N …

Our purpose is to increase the accuracy of the numerical solution of the time-dependent
Schrödinger equation. In particular, a modification of the standard Crank–Nicolson method …

In this paper we study the connection between:(i) closed Newton-Cotes formulae of high
order,(ii) trigonometrically-fitted and exponentially-fitted differential methods,(iii) symplectic …

In this paper we develop and study new high algebraic order multiderivative explicit four-
step method with phase-lag and its first, second and third derivatives equal to zero. For the …