midpoint_explicit


midpoint_explicit, a Fortran90 code which solves one or more ordinary differential equations (ODE) using the (explicit) midpoint method, also known as the modified Euler method.

Licensing:

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

Languages:

midpoint_explicit is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a MATLAB version and an Octave version and a Python version and an R version

Related Data and codes:

midpoint_explicit_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:


Last revised on 06 April 2021.