Upload
firdaus-ahmad
View
225
Download
0
Embed Size (px)
Citation preview
8/10/2019 Rungge Kutta Method
http://slidepdf.com/reader/full/rungge-kutta-method 1/7
y(t) f (y, t) = dydt
y(t + h) = y(t) + 1
6 · (k1 + 2k2 + 2k3 + k4) (1)
k1 = h · f (t, y) (2)
k2 = h · f (t + h
2, y(t) +
k1
2 ) (3)
k3 = h · f (t + h
2, y(t) +
k2
2 ) (4)
k4 = h · f (t + h, y(t) + k3) (5)
mdvdt = −mg − bv2 (6)
dx
dt = v (7)
m v g b
x
g v x
v
b
b = 1
2(C dA)ρ (8)
C d A ρ
ρ
ρ = ρ0e−h
h0 (9)
ρ0 h h0
8/10/2019 Rungge Kutta Method
http://slidepdf.com/reader/full/rungge-kutta-method 2/7
8/10/2019 Rungge Kutta Method
http://slidepdf.com/reader/full/rungge-kutta-method 3/7
±n
8/10/2019 Rungge Kutta Method
http://slidepdf.com/reader/full/rungge-kutta-method 4/7
40 60 45 55 50
8/10/2019 Rungge Kutta Method
http://slidepdf.com/reader/full/rungge-kutta-method 5/7
±n
45
8/10/2019 Rungge Kutta Method
http://slidepdf.com/reader/full/rungge-kutta-method 6/7
8/10/2019 Rungge Kutta Method
http://slidepdf.com/reader/full/rungge-kutta-method 7/7
< 45
50