APLIKASI ROOTED TREES PADA METODE RUNGE-KUTTA
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 a...
| Main Authors: | , |
|---|---|
| Format: | Thesis |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2014
|
| Subjects: |
| _version_ | 1797035594202742784 |
|---|---|
| author | , TRI KUNCORO PRASETYO HUTOMO , Dr. Sumardi, M.Si. |
| author_facet | , TRI KUNCORO PRASETYO HUTOMO , Dr. Sumardi, M.Si. |
| author_sort | , TRI KUNCORO PRASETYO HUTOMO |
| collection | UGM |
| description | 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. |
| first_indexed | 2024-03-13T23:33:15Z |
| format | Thesis |
| id | oai:generic.eprints.org:131506 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T23:33:15Z |
| publishDate | 2014 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org:1315062016-03-04T08:15:29Z https://repository.ugm.ac.id/131506/ APLIKASI ROOTED TREES PADA METODE RUNGE-KUTTA , TRI KUNCORO PRASETYO HUTOMO , Dr. Sumardi, M.Si. ETD 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. [Yogyakarta] : Universitas Gadjah Mada 2014 Thesis NonPeerReviewed , TRI KUNCORO PRASETYO HUTOMO and , Dr. Sumardi, M.Si. (2014) APLIKASI ROOTED TREES PADA METODE RUNGE-KUTTA. UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=72002 |
| spellingShingle | ETD , TRI KUNCORO PRASETYO HUTOMO , Dr. Sumardi, M.Si. APLIKASI ROOTED TREES PADA METODE RUNGE-KUTTA |
| title | APLIKASI ROOTED TREES PADA METODE RUNGE-KUTTA |
| title_full | APLIKASI ROOTED TREES PADA METODE RUNGE-KUTTA |
| title_fullStr | APLIKASI ROOTED TREES PADA METODE RUNGE-KUTTA |
| title_full_unstemmed | APLIKASI ROOTED TREES PADA METODE RUNGE-KUTTA |
| title_short | APLIKASI ROOTED TREES PADA METODE RUNGE-KUTTA |
| title_sort | aplikasi rooted trees pada metode runge kutta |
| topic | ETD |
| work_keys_str_mv | AT trikuncoroprasetyohutomo aplikasirootedtreespadametoderungekutta AT drsumardimsi aplikasirootedtreespadametoderungekutta |