1. Numerics for PDE using EXCEL
Anthony Peirce
Department of Mathematics
University of British Columbia

2. First derivative Approximations

3. Second derivative Approximation

4. 1D heat equation

5. Discrete from of 1D heat equation

6. AA3= AA2+ $H$1*(Z2-2*AA2+AB2)
The Spreadsheet
AA3= AA2+ $H$1*(Z2-2*AA2+AB2) X Y Z AA AB AC AD 1 2 1 3
0.1
0.8
0.1 4
0.01
0.16
0.66
0.16
0.01 5
0.001
0.024
0.195
0.56
0.195
0.024
0.001

7. Swift-Hohenberg Equation

8. Laplace’s Equation

9. Discretization of Laplace’s Equation

10. Features of point iterative methods
Consider solving:
By iterating the difference equations:
Using Jacobi iteration:
Iterate to equilibrium using diffusion equation:

11. The wave equation