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().
The computer code and data files described and made available on this web page are distributed under the MIT license
backward_euler_fixed is available in a MATLAB version and an Octave version and a Python version.
backward_euler, a Python code which solves one or more ordinary differential equations (ODE) using the (implicit) backward Euler method, and fsolve() to solve the implicit equation.
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