backward_euler_fixed_test

backward_euler_fixed_test, an Octave code which calls backward_euler_fixed(), which solves one or more ordinary differential equations (ODE) using the (implicit) backward Euler method, using fixed point iteration for the implicit equation.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and codes:

backward_euler, an Octave code which solves one or more ordinary differential equations (ODE) using the (implicit) backward Euler method, using fixed point iteration for the implicit equation.

Source Code:

• backward_euler_fixed_test.m, calls all the tests.
• backward_euler_fixed_test.sh, runs all the tests.
• backward_euler_fixed_test.txt, the output file.

• predator_prey_deriv.m, returns the right hand side of the predator prey ODE.
• predator_prey_backward_euler_fixed.m, solves the predator prey ODE using backward_euler_fixed().
• predator_prey_backward_euler_fixed.png, a plot of the solution.

• stiff_deriv.m, returns the right hand side of the stiff ODE.
• stiff_exact.m, returns the exact solution of the stiff ODE.
• stiff_backward_euler_fixed.png
• stiff_backward_euler_fixed.m