lindberg_ode

lindberg_ode, a Python code which sets up and solves a system of 4 ordinary differential equations (ODE) which are very stiff.

Licensing:

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

Languages:

lindberg_ode is available in a MATLAB version and a Python version.

Related Data and codes:

python_ode, Python codes which sets up various systems of ordinary differential equations (ODE).

References:

1. Bengt Lindberg,
   On a dangerous property of methods for stiff differential equations,
   BIT Numerical Mathematics,
   Volume 14, 1974, pages 430-436.
2. Daniel Watanabe, Qasim Sheikh,
   One-leg formulas for stiff ordinary differential equations,
   SIAM Journal on Scientific and Statistical Computing,
   Volume 5, Number 2, June 1984, pages 489-496.

Source Code:

• lindberg_ode.py, the source code.
• lindberg_ode.sh, runs all the tests.
• lindberg_ode.txt, the output file.

• lindberg_solve_ivp_y1.png, a plot of y1(t).
• lindberg_solve_ivp_y2.png, a plot of y2(t).
• lindberg_solve_ivp_y3.png, a plot of y3(t).
• lindberg_solve_ivp_y4.png, a plot of y4(t).