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M. Inokuti, H. Sekine and T. Mura, “General Use of the Lagrange Multiplier in Non-Linear Mathematical Physics,” In: S. Nemat-Nassed, Ed., Variational Methods in the Mechanics of Solids, Pergamon Press, New York, 1978, pp. 156-162.

has been cited by the following article:

• TITLE: Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems

  AUTHORS: Sara Ghaderi

  KEYWORDS: Homotopy Perturbation Method; Moving Boundaries; Isoperimetric Problems

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

  ABSTRACT: In this paper, homotopy perturbation method is applied to solve moving boundary and isoperimetric problems. This method does not depend upon a small parameter in the equation. homotopy is constructed with an imbedding parameter p, which is considered as a “small parameter”. Finally, we use combined homotopy perturbation method and Green’s function method for solving second order problems. Some examples are given to illustrate the effectiveness of methods. The results show that these methods provides a powerful mathematical tools for solving problems.