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M. Dehghan and M. Tatari, “The Use of Adomian Decomposition Method for Solving Problems in Calculus of Variations,” Mathematical Problems in Engineering, Vol. 2006, 2006, pp. 1-12. doi:10.1155/MPE/2006/65379

has been cited by the following article:

• TITLE: Variational Iterative Method Applied to Variational Problems with Moving Boundaries

  AUTHORS: Fateme Ghomanjani, Sara Ghaderi

  KEYWORDS: Variational Iterative Method; Variational Problems; Moving Boundaries; Isoperimetric Problems

  JOURNAL NAME: Applied Mathematics, Vol.3 No.5, May 16, 2012

  ABSTRACT: In this paper, He’s variational iterative method has been applied to give exact solution of the Euler Lagrange equation which arises from the variational problems with moving boundaries and isoperimetric problems. In this method, general Lagrange multipliers are introduced to construct correction functional for the variational problems. The initial approximations can be freely chosen with possible unknown constant, which can be determined by imposing the boundary conditions. Illustrative examples have been presented to demonstrate the efficiency and applicability of the variational iterative method.