Title of article
Computer algebra solution of the inverse problem in the calculus of variations Original Research Article
Author/Authors
J.E. Aldridge، نويسنده , , G.E. Prince، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 1998
Pages
21
From page
489
To page
509
Abstract
The inverse problem in the calculus of variations for a given set of second order ordinary differential equations consists of deciding whether their solutions are those of Euler-Lagrange equations and exhibiting the non-uniqueness of the resulting Lagrangians when they occur.
This paper discusses the use of the REDUCE packages EXCALC, EDS and Dimsym to solve this problem.
Keywords
Lagrangians , Inverse problem of the calculus of variations , Euler-Lagrange equations , Helmholtz conditions , Cartan form
Journal title
Computer Physics Communications
Serial Year
1998
Journal title
Computer Physics Communications
Record number
1135023
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