# backward_euler_fixed

backward_euler_fixed, a Python code which solves one or more ordinary differential equations (ODE) using the (implicit) backward Euler method, and a fixed point iteration to solve the implicit equation.

Unless the right hand side of the ODE is linear in the dependent variable, each backward Euler step requires the solution of an implicit nonlinear equation. Such equations can be approximately solved using methods such as fixed point iteration, or an implicit equation solver like fsolve().

### Languages:

backward_euler_fixed is available in a MATLAB version and an Octave version and a Python version.

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### Source Code:

Last revised on 01 May 2021.