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Runge-Kutta (4.th
order), paradigm
Solves a set of 2 ordinary differential equations by a
4.th order Runge-Kutta method. |
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| Parameters |
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Problem parameters (a11, a12;
a21, a22, a23). • |
| ti, tf |
s |
Initial time, final time. • |
| y0 |
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Initial values. • |
| h, npr |
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Integration step and no. of print lines. • |
| .Points |
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No. of points in graph (if 0, all). • |
| Show values ? |
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Shows the graph coordinates. |
Models the behaviour of a system described by a set of ODE's, ordinary
differential equations, by a Runge-Kutta method of 4.th order.
(This is a paradigm, suitable for other cases.) In the present case, it is:
dy1 ⁄ dt =
a11 t y2 + a12
dy2 ⁄ dt =
a21 t y1 +
a22 y2 +
a23 exp(x)
For the base problem, y(0.5) = (6.249, 0.674).
(Suggested alternative data: -3 4 60 -1 -1) |
| References: |
Plate: RungeKutta |
• [Smith, 2001(1995), Chap. 13,
"Case studies", "Case study 8", p 122] IMSmith.Pdf .
• 1629-04-14: Huygens, Christiaan,
birthday. |
