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Two-stage explicit Runge-Kutta type methods using derivatives

✍ Scribed by H. Ono; T. Yoshida


Publisher
Japan Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
594 KB
Volume
21
Category
Article
ISSN
0916-7005

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An improvement on the positivity results
✍ M. Mehdizadeh Khalsaraei πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 464 KB

In this paper, we investigate the positivity property for a class of 2-stage explicit Runge-Kutta (RK2) methods of order two when applied to the numerical solution of special nonlinear initial value problems (IVPs) for ordinary differential equations (ODEs). We also pay particular attention to monot