Directions: 1.
Copy
files to a directory/folder
(If your browser does not allow you to directly copy the files,
you should copy the file contents into the
clipboard, start
MATLAB, choose new from the file menu, paste the contents
of the clipboard, and save
as filename.m (for the euler code,
you must use euler.m as a file
name... it's a function)
2. Start running MATLAB (double-click)
3. Set the directory/folder from default (work)
to the folder you have above.
4. From the command line, type in the file
name that graphs the comparison code.
5. The result should be a graph of the actual solution and
a numerical
approximation.
Section
6.1: Basic Euler
euler
code (this is the actual code that performs
the
calculations)
comparison
code (this is the code that plots the
approximate
and actual solutions)
Section
6.2: Improved Euler
(RK2)
improved
(implicit) euler code(this is the actual
code
that performs the calculations)
comparison code for both euler methods (this is the code that plots the approximate and actual solutions)
Section
6.2: Runge-Kutta (RK4)
Runge-Kutta
code (this is the actual code that performs
the
calculations)
comparison
code for all three methods (this is the
code that
plots the approximate and actual solutions)