High-Order Embedded Runge-Kutta-Nystrom Formulae
- 1 October 1987
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 7 (4) , 423-430
- https://doi.org/10.1093/imanum/7.4.423
Abstract
New efficient embedded Runge-Kutta-Nystrom processes of orders 8(6) and 12(10) are presented for the numerical solution of the special second-order differential equation y″(x) = f[x, y(x)]. Test results indicate their improved efficiency relative to other RKN formulae in current use.Keywords
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