Solution of Problems in Calculus of Variations Using Parameterization Technique

Abstract

In this paper a direct method using parameterization technique is applied for solving some problems in calculus of variations. The parameterization technique based on Laguerre and Hermite polynomials is introduced to reduce a variational problem to quadratic programming problem. Examples are given to demonstrate the validity of method.

Keywords

• calculus of variation
• orthogonal polynomials
• parameterization technique