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

Iranian Journal of Optimization

مقاله 8، دوره 5، شماره 2، مهر 2013، صفحه 451-466   

نوع مقاله: Research Paper

نویسندگان

H. Saberi-Nik^* ؛ S. Effati؛ R. Buzhabadi

Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran.

چکیده

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. 

کلیدواژه‌ها

Homotopy Analysis Method؛ integro-differential equations؛ approximate-analytic solution؛ homotopy-derivative؛ Homotopy Perturbation method

مراجع

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