Computational Physics at Carleton University Index
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Ordinary Differential Equations

Ordinary Differential Equations

Any Ordinary Differential Equation (ODE) can be rewritten in terms of a set of first-order ODE's. Euler's method to solve first order ODE's is simple to understand but can be inaccurate and unstable. Instead, it is recommended to use Runge-Kutta and Bulirsch-Stoer methods for general problems.

The exercise applies these methods to the problem of a pendulum consisting of a object connected to a pivot point by an elastic rod.

Reference:

Numerical Recipies, chapter 16.

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