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 |
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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 |
| _version_ | 1818967720246378496 |
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| author | H. Saberi-Nik S. Effati R. Buzhabadi |
| author_facet | H. Saberi-Nik S. Effati R. Buzhabadi |
| author_sort | H. Saberi-Nik |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T13:53:17Z |
| format | Article |
| id | doaj.art-6efe75bb9da64b2b9ab57ab40ba94eb1 |
| institution | Directory Open Access Journal |
| issn | 2588-5723 2008-5427 |
| language | English |
| last_indexed | 2024-12-20T13:53:17Z |
| publishDate | 2013-07-01 |
| publisher | Islamic Azad University, Rasht Branch |
| record_format | Article |
| series | Iranian Journal of Optimization |
| spelling | doaj.art-6efe75bb9da64b2b9ab57ab40ba94eb12022-12-21T19:38:29ZengIslamic Azad University, Rasht BranchIranian Journal of Optimization2588-57232008-54272013-07-01052518535514138Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis MethodH. Saberi-Nik0S. Effati1R. Buzhabadi2Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran.Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran.Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, Iran.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.http://ijo.iaurasht.ac.ir/article_514138_83b91e496581c65b2416ec737b16ac35.pdfHomotopy analysis methodintegro-differential equationsapproximate-analytic solutionhomotopy-derivativeHomotopy perturbation method |
| spellingShingle | H. Saberi-Nik S. Effati R. Buzhabadi Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method Iranian Journal of Optimization Homotopy analysis method integro-differential equations approximate-analytic solution homotopy-derivative Homotopy perturbation method |
| title | Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method |
| title_full | Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method |
| title_fullStr | Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method |
| title_full_unstemmed | Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method |
| title_short | Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method |
| title_sort | analytic approximate solution for an integro differential equation arising in oscillating magnetic fields using homotopy analysis method |
| topic | Homotopy analysis method integro-differential equations approximate-analytic solution homotopy-derivative Homotopy perturbation method |
| url | http://ijo.iaurasht.ac.ir/article_514138_83b91e496581c65b2416ec737b16ac35.pdf |
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