ODE_SWEEP, a MATLAB program which computes the solution of an ODE for many parameter values, keeping track of the maximum absolute value of the solution.
Consider the parameterized second order differential equation:
m x'' + b x' + k x = 0
which represents the behavior of a spring mass system with a
mass of m, a spring constant of k and a damping
coefficient b.
We now suppose that we are interested in properties of the solution x(t) over the time interval from 0 to 25 seconds, as we vary the physical properties b and k. In particular, we would like to know the maximum value of x(t) over the time interval for each choice of the physical parameters.
To answer this question, we must solve the ODE for each choice of the parameters.
The basic function has the form:
function peakVals = ode_fun ( bVals, kVals )where
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
ODE_SWEEP is available in a MATLAB version.
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