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SOLUTIONS
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VARIATIONAL METHODS PACKAGE SYMBOL
VariationalBound
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finds values of the parameters a, b, ... of a trial function
that extremize the functional
, where the integrand f is a function of u, its derivatives, and x.
finds values of the parameters of a trial function of two or more variables.
finds values of the parameters that extremize the ratio
, where the integrands f and g are functions of u, its derivatives, and x.
DetailsDetails
- To use
, you first need to load the Variational Methods Package using Needs["VariationalMethods`"].
returns the extremal value of the functional as well as the optimal parameter values.- By default, the parameters a, b, ... may range over the interval
to
. A parameter specification of
can be used to restrict the range to the interval
to
.
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