FIFTH ORDER PSEUDO-RUNGE-KUTTA METHODS.
Abstract
Fifth order Pseudo-Runge-Kutta methods are derived for the numerical approximation of the solution of systems of ordinary differential equations. Convergence, consistency, and error bounds are also considered for these methods, and comparative results are given for these and other fifth order methods. The advantage of these methods lies mainly in the fact that for a fixed stepsize they require two less function evaluations at each step than do the corresponding fifth order Runge-Kutta methods, thus potentially saving a significant amount of computer time. The major disadvantage is that these methods are not self starting, while Runge-Kutta methods are. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 05, 1968
- Accession Number
- AD0665764
Entities
People
- William Bromley Gruttke
Organizations
- George Washington University