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Variational Methods Package >

VARIATIONAL METHODS PACKAGE SYMBOL

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VariationalD

returns the variational derivative of the integral

with respect to

, where the integrand f is a function of u, its derivatives, and x.

returns the variational derivative of the multiple integral

with respect to

, where f is a function of u, its derivatives and the coordinates

.

gives a list of variational derivatives with respect to

.

MORE INFORMATION

To use , you first need to load the Variational Methods Package using .

Basic Examples (2)

Variational derivative for the arc length

of a plane curve:

Variational derivative for the Dirichlet integral in two variables:

Needs["VariationalMethods`"]

Variational derivative for the arc length

of a plane curve:

Out[2]=

Needs["VariationalMethods`"]

Variational derivative for the Dirichlet integral in two variables:

Out[2]=

EulerEquations

Variational Methods

Variational Methods Package

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