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Explicit eighth order methods for the numerical integration of initial-value problems with periodic or oscillating solutions

✍ Scribed by T.E. Simos

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
740 KB
Volume
119
Category
Article
ISSN
0010-4655

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πŸ“œ SIMILAR VOLUMES

A P-Stable Eighth-Order Method for the N
A P-Stable Eighth-Order Method for the Numerical Integration of Periodic Initial-Value Problems
✍ T.E. Simos; Ch. Tsitouras πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 254 KB

Several methods have been developed for the solution of (1) belonging to Category I. We mention the works of An eighth-order P-stable two-step method for the numerical integration of second-order periodic initial-value problems is developed Raptis and Allison [5], Cash, in this paper. This method ha

An exponentially-fitted Runge-Kutta meth
An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
✍ T.E. Simos πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 335 KB

An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems wi',h periodic or oscillating solutions is developed in this paper. Numerical and theoretical results obtained for several well known problems show the efficiency of the new method. (~