AN ACCURATE EXPONENTIALLY FITTED EXPLICIT FOUR-STEP METHOD FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRÖDINGER EQUATION-Reference-Cited by-同舟云学术

AN ACCURATE EXPONENTIALLY FITTED EXPLICIT FOUR-STEP METHOD FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRÖDINGER EQUATION

Published:1998-06-20 Issue:15 Volume:13 Page:2613-2626
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

SIMOS T. E.¹

Affiliation:

1. Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece

Abstract

We present here an accurate exponentially fitted explicit four-step method for the numerical integration of the one-dimensional Schrödinger equation. The formula considered contains free parameters which are defined in order to integrate exponential functions. We note that this is the first explicit four-step exponentially fitted method in the literature. Numerical results also indicate that the new method is much more accurate than other well-known methods.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X98001347

Reference33 articles.

1. Practical points concerning the solution of the Schrödinger equation

2. A high order method for the numerical integration of the one-dimensional Schrödinger equation

3. A sixth-order exponentially fitted method for the numerical solution of the radial schrodinger equation

4. Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems;Journal of Computational and Applied Mathematics;2012-10

2. A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems;Applied Mathematics and Computation;2012-01

3. Pattern formation in a Turing’s type model with minimal reactional complexity;Computers & Chemistry;2000-03

4. Explicit sixth-order Bessel and Neumann fitted method for the numerical solution of the Schrödinger equation;Computers in Physics;1998