VariationalD

VariationalD[f,u[x],x]
returns the variational derivative of the integral with respect to , where the integrand f is a function of u, its derivatives, and x.

VariationalD[f,u[x,y,],{x,y,}]
returns the variational derivative of the multiple integral with respect to , where f is a function of u, its derivatives, and the coordinates x, y, ... .

VariationalD[f,{u[x,y,],v[x,y,],},{x,y,}]
gives a list of variational derivatives with respect to u, v, ... .

DetailsDetails

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

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Variational derivative for the arc length of a plane curve:

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Variational derivative for the Dirichlet integral in two variables:

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