Optimal Method of Runge-Kutta of Order 5
- Akpini K. A. Michael
- Assui K Richard
- Yoro Gozo
- Bailly Bale
Abstract
The Runge-Kutta method of order 5 with 6 stages requires finding a matrix A, whose coefficients must satisfy a system of nonlinear polynomial equations. Butcher found a 5-parameter family of solutions, which displays different characteristics depending on whether b2= 0 or b2, 0. This paper presents an optimal method in the case b2= 0, which is significantly better than several popular methods of order 4.
- Full Text: PDF
- DOI:10.5539/jmr.v11n1p93
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