midpoint_explicit

midpoint_explicit, a Fortran77 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

midpoint, a Fortran77 code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, with a version of fsolve() handling the associated nonlinear equations, and using a fixed time step.

midpoint_fixed, a Fortran90 code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, using fixed point iteration for the nonlinear equation.

rk4, a Fortran90 code which applies the fourth order Runge-Kutta (RK) algorithm to estimate the solution of an ordinary differential equation (ODE).

Reference:

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

Source Code:

• midpoint_explicit.f, the source code.
• midpoint_explicit.sh, compiles the source code.