bdf3

bdf3, a Fortran90 code which solves one or more ordinary differential equations (ODE) using the (implicit) backward difference formula order 3 (bdf3), with a version of fsolve() handling the associated nonlinear equation, and using a fixed time step.

Licensing:

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

Languages:

bdf3 is available in a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and codes:

bdf3_test

f90_ode_solver, a Fortran90 code which solves one or more differential equations (ODE) using a method of a particular order, either explicit or implicit. Some methods require a nonlinear equation solver. Some methods used a fixed stepsize, while others adapt the stepsize based on an error estimate.

Reference:

1. Catalin Trenchea, John Burkardt,
   Refactorization of the midpoint rule,
   Applied Mathematics Letters,
   Volume 107, September 2020.

Source Code:

• bdf3.f90, the source code.
• bdf3.sh, compiles the source code.