stiff_exact

stiff_exact, a MATLAB code which returns an exact solution y(t) to a stiff ordinary differential equation (ODE) of the form y' = lambda * ( cos(t-t0) - y).

Licensing:

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

Languages:

stiff_exact is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and codes:

stiff_exact_test

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

stiff_ode, a MATLAB code which sets up an ordinary differential equation (ODE) y'=lambda*(cos(t)-y), which exhibits stiffness, making accurate solution difficult.

Reference:

• John D Cook,
  Stiff differential equations,
  https://www.johndcook.com/blog/
  Posted 02 February 2020.

Source Code:

• stiff_exact.m, evaluates the exact solution of the ODE.
• stiff_deriv.m, evaluates the right hand side of the ODE.
• stiff_parameters.m, returns parameters of the ODE.