Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems

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.

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.

Cite this paper

S. Ghaderi, "Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems,"*Applied Mathematics*, Vol. 3 No. 5, 2012, pp. 403-409. doi: 10.4236/am.2012.35062.

S. Ghaderi, "Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems,"

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