MATLAB Mathematics - SERC - Index of

Initial Value Problems for ODEs and DAEs
2.5
Solution of van der Pol Equation, µ = 1000
2
1.5
1
0.5
solution y 1
0
−0.5
−1
−1.5
−2
−2.5
0 500 1000 1500 2000 2500 3000
time t
Note For detailed instructions for solving an initial value ODE problem, see
“Example: Solving an IVP ODE (van der Pol Equation, Nonstiff)” on page 5-9.
Parameterizing an ODE Function
The preceding sections showed how to solve the van der Pol equation for two
different values of the parameter µ. In those examples, the values µ = 1 and
µ = 1000 are hard-coded in the ODE functions. If you are solving an ODE for
several different parameter values, it might be more convenient to include the
parameter in the ODE function and assign a value to the parameter each time
you run the ODE solver. This section explains how to do this for the van der Pol
equation.
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