Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method

Subject Areas : Operation Research

H. Saberi-Nik ¹ , S. Effati ² , R. Buzhabadi ³

1 - Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran.
2 - Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran.
3 - Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran.

Received: 2010-04-30 Accepted : 2010-05-30 Published : 2013-07-01

Keywords: Homotopy Analysis Method, Homotopy Perturbation method, integro-differential equations, approximate-analytic solution, homotopy-derivative,

Abstract :

In this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered. The homotopy analysis method (HAM) is used for solving this equation. Several examples are given to reconfirm the efficiency of these algorithms. The results of applying this procedure to the integro-differential equation with time-periodic coefficients show the high accuracy, simplicity and efficiency of this method.

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