Scientific Article
previous document  unige:12455  next document
add to browser collection
Title

A One-step Method of Order 10 for y″=f(x,y)

Author
Published in IMA Journal of Numerical Analysis. 1982, vol. 2, no. 1, p. 83-94
Abstract In some situations, especially if one demands the solution of the differential equation with a great precision, it is preferable to use high-order methods. The methods considered here are similar to Runge-Kutta methods, but for the second-order equation y″=f(x,y). As for Runge-Kutta methods, the complexity of the order conditions grows rapidly with the order, so that we have to solve a non—linear system of 440 algebraic equations to obtain a tenth—order method. We demonstrate how this system can be solved. Finally we give the coefficients (20 decimals) of two methods with small local truncation errors.
Identifiers
Full text
Citation
(ISO format)
HAIRER, Ernst. A One-step Method of Order 10 for y″=f(x,y). In: IMA Journal of Numerical Analysis, 1982, vol. 2, n° 1, p. 83-94. https://archive-ouverte.unige.ch/unige:12455

185 hits

0 download

Update

Deposited on : 2010-11-15

Export document
Format :
Citation style :