unstable_ode_test

unstable_ode_test, an Octave code which calls unstable_ode(), which sets up and solves an unstable ordinary differential equation (ODE) which the backward Euler method incorrectly drives to zero.

Licensing:

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

Related Data and Programs:

unstable_ode, an Octave code which sets up and solves an unstable ordinary differential equation (ODE) which the backward Euler method incorrectly drives to zero.

Source Code:

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

• backward_euler.m, applies the backward Euler method to solve an ODE.
• unstable_backward_euler.m, solves the ODE using backward_euler().
• unstable_backward_euler_plot.png, Y(t), Y'(t).
• unstable_backward_euler_comparison.png, Y(t), Yexact(t).

• midpoint.m, applies the midpoint method to solve an ODE.
• unstable_midpoint.m, solves the ODE using midpoint().
• unstable_midpoint_plot.png, Y(t), Y'(t).
• unstable_midpoint_comparison.png, Y(t), Yexact(t).