An Efficient Algorithm for Solving Variational Problems Using Hermite Polynomials


An algorithm for solving variational problems with fixed and free boundary conditions using Hermite polynomials is proposed. The properties of Hermite polynomials with the operational matrix of integration are used to reduce a variational problem to the solution of algebraic equations. The method verifies an accurate approximate solution with using small numbers of polynomials comparing to other methods. Several examples have been applied to the proposed method.