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 computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

midpoint_explicit 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 and an R version

Related Data and codes:

euler, a FORTRAN90 code which solves one or more ordinary differential equations (ODE) using the forward Euler method.

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.

midpoint_explicit_test

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