# midpoint_fixed

midpoint_fixed, a Python code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, applying a fixed point iteration to solve the associated nonlinear equation.

### Languages:

midpoint_fixed is available in a MATLAB version and a Python version.

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### Reference:

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

### Source Code:

Last revised on 07 April 2021.