On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler-Lagrange EquationReport as inadecuate




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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.

KEYWORDS

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

Cite this paper

J. Saberi-Nadjafi, R. Buzhabadi and H. Nik -On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler-Lagrange Equation,- Applied Mathematics, Vol. 3 No. 8, 2012, pp. 873-881. doi: 10.4236-am.2012.38129.





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

Source: http://www.scirp.org/



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