18 september 2007 kkkq 3013 pengiraan berangka week 11 – ordinary differential equations 18...
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18 September 2007
KKKQ 3013KKKQ 3013PENGIRAAN BERANGKAPENGIRAAN BERANGKA
Week 11 – Ordinary Differential Equations18 September 2007
8.00 am – 9.00 am
18 September 2007 Week 11 Page 3
Tutorial Example 1 (adapted courtesy of ref. [1])
Solve the following initial value problem for t = 2.0, given y(0) = 2.
Use the 4th order Adams method. Employ a step size of 0.5. [ Exact solution: y = 2 / (1 + t)2 ]
[1] Chapra, S.C & Canale, R.P, Numerical Methods for Engineers, McGraw-Hill 5th ed. (2006)
t
y
dt
dy
1
2
Apply the 4th order Runge Kutta method to predict the start-up values.
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