lindberg_exact

lindberg_exact, an Octave code which evaluates the exact solution of the Lindberg ordinary differential equations (ODE), a system that is extremely difficult to solve accurately.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

lindberg_exact is available in a MATLAB version and an Octave version and a Python version.

Related Data and codes:

lindberg_exact_test

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

octave_exact, an Octave code which evaluates exact solutions to a few selected examples of ordinary differential equations (ODE) and partial differential equations (PDE).

References:

1. Bengt Lindberg,
   On a dangerous property of methods for stiff differential equations,
   BIT Numerical Mathematics,
   Volume 14, 1974, pages 430-436.

Source Code:

• lindberg_exact.m, returns the exact solution.
• lindberg_parameters.m, returns parameter values.
• lindberg_resid.m, returns the residual for a given set of (t,y,dydt) values.