Citation
Ar. Yaakub et Dj. Evans, HIGH-ORDER INTEGRATION FORMULA USING TRIGONOMETRIC POLYNOMIALS FOR PERIODIC IVPS, International journal of computer mathematics, 66(3-4), 1998, pp. 277-297
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
International journal of computer mathematics
ISSN journal
00207160
→ ACNP
Volume
66
Issue
3-4
Year of publication
1998
Pages
277 - 297
Database
ISI
SICI code
Abstract
In this paper a new fifth order Runge-Kutta type method for solving os
cillatory problems by the use of trigonometric polynomials is proposed
which extends the earlier work of Gautschi [1961]. An analysis of the
convergence and stability of the new method is given with comparison
with the standard Runge-Kutta methods. Finally numerical results are p
resented which confirm the accuracy of the high order method.