Matlab code for examples | |
| Example 4.1 | This script implement a finite difference scheme for the heat equation. Both analytical and numerical solution are plotted. |
| Example 4.2 | In this example we again compute a numerical solution to a heat equation, using a finite difference scheme. By experimenting with different timesteps, an instability problem is explained. |
| Example 4.5 | This example concerns a non-linear problem. The solution is approximated with a finite difference scheme. |
| Example 4.6 | The same problem as in Example 4.2 is solved, now with a implicit scheme, hence without the instability problem. |
| Comparison | In section 4.2.2, the analytical and numerical solutions of the heat equation are compared. This script plot the the terms which differ in the expressions, as a function of the grid index, at a given time-step ( respectively n and m in the user input). |