Exponentially and trigonometrically fitted explicit advanced step-point (EAS) methods for initial value problems with oscillating solutions

摘要

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. [References: 44]