1. 25 September 2007 KKKQ 3013 PENGIRAAN BERANGKA Week 12 – Partial Differential Equations 25 September 2007 8.00 am – 9.00 am

2. 25 September 2007 Week 12 Page 2 Topics

3. 25 September 2007 Week 12 Page 3 Tutorial Example 1 (adapted courtesy of ref. [1]) [1] Chapra, S.C & Canale, R.P, Numerical Methods for Engineers, McGraw-Hill 5th ed. (2006) Solve the steady state temperature distribution of the heated square plate above. The right, top and left boundary temperatures are fixed at constant levels (Dirichlet boundary condition). While, the bottom edge is insulated (Neumann boundary condition). Use the Gauss-Seidel method with relaxation parameter = 1.2 and iterate until |  a | < 1% is achieved. INSULATED

4. 25 September 2007 Week 12 Page 4 Tutorial Example 1

5. 25 September 2007 Week 12 Page 5 Tutorial Example 1

6. 25 September 2007 Week 12 Page 6 Tutorial Example 1

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8. 25 September 2007 Week 12 Page 8 Tutorial Example 1