332:505 Control Theory I
Numerical Integration Example
Let's investigate the behavior of some numerical techniques for solving the the nonlinear first order system described by
x' = t x2 – x
which was mentioned in the first lecture. You will need to copy two files to your computer. numint_example.m calculates several approximations for the function x(t) whose derivative is given by the above equation encoded in f.m. After starting Matlab, you type `numint_example' at the prompt to start executing the script.
There are several ways to augment this example:
Can you implement the Backward Euler Method?