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A high-order explicit Runge-Kutta pair for initial value problems with oscillating solutions

✍ Scribed by C. Tsitouras

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 271 KB
Volume: 37
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(99)00074-7

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✦ Synopsis

A new Runge-Kutta-pair of orders eight and seven is presented here. The proposed pair when applied with small step-size to the test equation ~ = /wy, w real, has amplification factors very near to unit. This is very important then, because the numerical solution stays close to the cyclic solution of the test problem. Numerical tests over a set of problems with oscillating solutions demonstrate the superiority of the new pair.

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