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S. Effati and H. Saberi Nik, “Analytic-Approximate Solution for a Class of Nonlinear Optimal Control Problems by Homotopy Analysis Method,” Asian-European Journal of Mathematics, in press.

has been cited by the following article:

• TITLE: On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler-Lagrange Equation

  AUTHORS: Jafar Saberi-Nadjafi, Reza Buzhabadi, Hassan Saberi Nik

  KEYWORDS: Homotopy Analysis Method; Calculus of Variations; Variational Problems; Euler-Lagrange Equation; Square Residual Error

  JOURNAL NAME: Applied Mathematics, Vol.3 No.8, August 1, 2012

  ABSTRACT: This paper presents, an efficient approach for solving Euler-Lagrange Equation which arises from calculus of variations. Homotopy analysis method to find an approximate solution of variational problems is proposed. An optimal value of the convergence control parameter is given through the square residual error. By minimizing the the square residual error, the optimal convergence-control parameters can be obtained. It is showed that the homotopy analysis method was valid and feasible to the study of variational problems.