quadex_ode_test

quadex_ode_test, a MATLAB code which calls quadex_ode(), which solves a stiff ordinary differential equation (ODE) whose exact solution is a parabola, but for which errors grow exponentially.

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:

quadex_ode, a MATLAB code which solves a stiff ordinary differential equation (ODE) whose exact solution is a parabola, but for which errors grow exponentially.

Source Code:

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

quadex_euler used euler() to solve the problem.

• euler.m, an Euler ODE solver.
• quadex_euler.m, the source code.
• quadex_euler_2500.png, a plot of the solution.

quadex_backward_euler used backward_euler() to solve the problem.

• backward_euler.m, a Backward Euler ODE solver.
• quadex_backward_euler.m, the source code.
• quadex_backward_euler_2500.png, a plot of the solution.