APLIKASI ROOTED TREES PADA METODE RUNGE-KUTTA
| Main Authors: | , TRI KUNCORO PRASETYO HUTOMO, , Dr. Sumardi, M.Si. |
|---|---|
| Format: | Thesis NonPeerReviewed |
| Terbitan: |
[Yogyakarta] : Universitas Gadjah Mada
, 2014
|
| Subjects: | |
| Online Access: |
https://repository.ugm.ac.id/131506/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=72002 |
Daftar Isi:
- Runge-Kutta is a method to estimate the exact value of a differential equation with initial value. This method basically has a general equation containing constants with unknown value. We can find the value of these constants by expand a general equation of Runge-Kutta method with Taylor expansion and is equated by Taylor expansion of the exact solution of a differential equation. However, the Taylor expansions would be cumbersome performed when it reaches a high level derivative. Therefore, both Taylor expansion of Runge-Kutta method�s general equation and Taylor expansion of exact solution of a differential equation need to be connected with the labeling on rooted trees. So, we can find the value of the constants of Runge-Kutta method simply by applying the labeling.