A numerical algorithm for solving problems of calculus of variations is proposed and
analyzed in the present paper. The method is based on direct minimizing the functional in its …

In this paper, a general expression formula for the Boubaker scaling (BS) operational matrix
of the derivative is constructed. Then it is used to study a new parameterization direct …

In this work, an exponential spline method is developed and analyzed for approximating
solutions of calculus of variations problems. The method uses a spline interpolant, which is …

In this paper, we developed numerical method of order O h 2 and based on quadratic
polynomial spline function for the numerical solution of class of two point boundary value …

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 …

By using generalized divided differences, we study the simultaneous interpolation of an m
times continuously differentiable function and its derivatives up to a fixed order in a …

Orthogonal polynomials are connected with many mathematical, physical, engineering, and
computer sciences topics, such as trigonometry, hyper geometric series, special and elliptic …

POLYNOMIAL APPROXIMATION OF VARIATIONAL PROBLEMS Page 38 POLYNOMIAL
APPROXIMATION OF VARIATIONAL PROBLEMS LEONARD DAUS AND GHIOCEL GROZA …

ﻻﮐراﻧﺞ - ﺑﺎﻻﻋﺗﻣﺎد ﻋﻟﯽ ﻣﻌﺎدﻻت اوﯾﻟر ﻣﺳﺎﺋل ﺣﺳﺎب اﻟﺗﻐﺎﯾ Page 1 Eng. &Tech.Journal, Vol.34,Part (B), No.1,2016
80 The Approximation Solution of Some Calculus of Variation Problems Based Euler-Lagrange …

In this paper, a numerical method is presented for finding the solution of some optimal
control problems. Finding the solution of these problems need to solve the corresponding …