lindberg_ode

lindberg_ode, an Octave 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 an Octave version and a Python version.

Related Data and codes:

lindberg_ode_test

octave_ode, an Octave code which sets up various 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_deriv.m, returns the right hand side.
• lindberg_exact.m, returns the exact solution.
• lindberg_parameters.m, returns parameter values.