EXPONENTIALLY AND TRIGONOMETRICALLY FITTED EXPLICIT ADVANCED STEP-POINT (EAS) METHODS FOR INITIAL VALUE PROBLEMS WITH OSCILLATING SOLUTIONS-Reference-Cited by-同舟云学术

EXPONENTIALLY AND TRIGONOMETRICALLY FITTED EXPLICIT ADVANCED STEP-POINT (EAS) METHODS FOR INITIAL VALUE PROBLEMS WITH OSCILLATING SOLUTIONS

Published:2003-02 Issue:02 Volume:14 Page:175-184
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

PSIHOYIOS G.¹,SIMOS T. E.²

Affiliation:

1. Department of Mathematics, Anglia Pol. University, East Road, Cambridge CB1 1PT, United Kingdom

2. Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, Xanthi GR-67100, Greece

Abstract

In this paper, an exponentially fitted and trigonometrically fitted predictor–corrector class of methods is developed. These methods represent a totally new area of application for the explicit advanced step-point or EAS methods developed by Psihoyios and Cash. Numerical examples show that the newly developed procedure is much more efficient than well-known methods for the numerical solution of initial value problems with oscillating solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183103004334

Reference38 articles.

1. T. E. Simos, Atomic Structure Computations in Chemical Modelling: Applications and Theory, ed. A. Hinchliff (The Royal Society of Chemistry, 2000) pp. 38–142.

2. On finite difference methods for the solution of the Schrödinger equation

3. Stabilization of Cowell's method

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