midpoint_adaptive

midpoint_adaptive, an Octave code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, relying on fsolve() to solve the implicit equation, and using an adaptive timestep.

Licensing:

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

Languages:

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

Related Data and codes:

midpoint_adaptive_test

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trapezoidal_explicit, an Octave code which solves one or more ordinary differential equations (ODE) using the (explicit) trapezoidal method, and using a fixed time step.

trapezoidal_fixed, an Octave code which solves one or more ordinary differential equations (ODE) using the (implicit) trapezoidal method, using the fixed point method to handle the implicit system, and using a fixed time step.

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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 23 February 2022.