EULER-LAGRANGE EQUATION AND ITS APPLICATIONS

ASEFA, HAGOS

dc.contributor.author	ASEFA, HAGOS
dc.date.accessioned	2017-10-10T10:17:36Z
dc.date.available	2017-10-10T10:17:36Z
dc.date.issued	2017-10-10
dc.identifier.uri	http://hdl.handle.net/123456789/7889
dc.description.abstract	The purpose of this project work is to understand the Euler-Lagrange Equation and to show the application of Euler-Lagrange equation on solving variational and real life problems. The calculus of variations addresses the need to optimize certain quantities over a set of functions. In order to identify those functions which are extremals of functionals, we establish the Euler- Lagrange equations. Euler-Lagrange equation is a second order partial differential equation whose solutions are functions for which the given functional is stationary. Euler-Lagrange equation is useful for solving optimization (extremization) problems; such as minimizing surface area of revolution, finding the shortest path joining two distinct points, finding the path joining two distinct points that takes shortest time, finding the curve that encloses the largest area with fixed perimeter etc., that are analyzed by the concept of calculus of variation.	en_US
dc.language.iso	en_US	en_US
dc.title	EULER-LAGRANGE EQUATION AND ITS APPLICATIONS	en_US
dc.type	Thesis	en_US