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: | , |
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2014
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| Subjects: |
| Summary: | 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. |
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