1. 18 September 2007 KKKQ 3013 PENGIRAAN BERANGKA Week 11 – Ordinary Differential Equations 18 September 2007 8.00 am – 9.00 am

2. 18 September 2007 Week 11 Page 2 Topics

3. 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 4 th 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) Apply the 4 th order Runge Kutta method to predict the start-up values.

4. 18 September 2007 Week 11 Page 4 Tutorial Example 1 (adapted courtesy of ref. [1])

5. 18 September 2007 Week 11 Page 5 Tutorial Example 1 (adapted courtesy of ref. [1])

6. 18 September 2007 Week 11 Page 6 Tutorial Example 1 (adapted courtesy of ref. [1])