In this paper a direct method for solving variational problems using nonclassical
parameterization is presented. A nonclassical parameterization based on nonclassical
orthogonal polynomials is first introduced to reduce a variational problem to a nonlinear
mathematical programming problem. Then, using the Lagrange multiplier technique the
problem is converted to that of solving a system of algebraic equations. Illustrative
examples are given to demonstrate the validity and applicability of the technique.
کلید واژگان :
Nonclassical parameterization; Calculus of variation; Nonlinear programming; Numerical methods
