Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University, Rasht Branch
2013-07-01
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| Series: | Iranian Journal of Optimization |
| Subjects: | |
| Online Access: | http://ijo.iaurasht.ac.ir/article_514138_83b91e496581c65b2416ec737b16ac35.pdf |
| Summary: | 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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| ISSN: | 2588-5723 2008-5427 |