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

G. Psihoyios and T. E. Simos ()
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G. Psihoyios: Department of Mathematics, Anglia Pol. University, East Road, Cambridge CB1 1PT, United Kingdom
T. E. Simos: Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, Xanthi GR-67100, Greece

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 02, 175-184

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.

Keywords: Numerical solution; initial-value problems (IVPs); EAS methods; predictor–corrector methods; advanced step-point methods; exponential fitting; trigonometrical fitting; multistep methods (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004334

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