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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
ParametricFunction
ParametricFunction[pars, ...]
represents a function that computes a solution when evaluated with numerical values for the parameters pars.
DetailsDetails
- ParametricFunction is generated by ParametricNDSolve and ParametricNDSolveValue.
- A ParametricFunction object pfun is evaluated by using
where pvals are explicit numerical values for the parameters pars. - A ParametricFunction may return numbers, functions, or more complicated expressions based on the underlying computation.
- Derivatives of ParametricFunction are computed using a combination of symbolic and numerical sensitivity methods when possible.
ExamplesExamplesopen allclose all
Basic Examples (1)Basic Examples (1)
Parameters for a harmonic oscillator:
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With numerical values, an approximate function is returned:
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| In[3]:= |
| Out[3]= | ![]() |
Derivatives of the ParametricFunction give the sensitivity solutions:
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| Out[4]= | ![]() |
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