On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components
Homotopy analysis method (HAM) is applied to obtain the approximate solution of inner-resonance of tangent cushioning packaging system based on critical components. The solution is obtained in the form of infinite series with components which can be easily calculated. Using a convergence-control par...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/424510 |
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| _version_ | 1832565390121631744 |
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| author | Mohammad Ghoreishi A. I. B. Md. Ismail Abdur Rashid |
| author_facet | Mohammad Ghoreishi A. I. B. Md. Ismail Abdur Rashid |
| author_sort | Mohammad Ghoreishi |
| collection | DOAJ |
| description | Homotopy analysis method (HAM) is applied to obtain the approximate solution of inner-resonance of tangent cushioning packaging system based on critical components. The solution is obtained in the form of infinite series with components which can be easily calculated. Using a convergence-control parameter, the HAM utilizes a simple method to adjust and control the convergence region of the infinite series solution. The obtained results show that the HAM is a very accurate technique to obtain the approximate solution. |
| format | Article |
| id | doaj-art-70a2a145775e42c18e2b9d9f4919eb36 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-70a2a145775e42c18e2b9d9f4919eb362025-02-03T01:08:00ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/424510424510On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical ComponentsMohammad Ghoreishi0A. I. B. Md. Ismail1Abdur Rashid2School of Mathematical Science, Universiti Sains Malaysia, 11800 Penang, MalaysiaSchool of Mathematical Science, Universiti Sains Malaysia, 11800 Penang, MalaysiaDepartment of Mathematics, Gomal University, 29050 Dera Ismail Khan, PakistanHomotopy analysis method (HAM) is applied to obtain the approximate solution of inner-resonance of tangent cushioning packaging system based on critical components. The solution is obtained in the form of infinite series with components which can be easily calculated. Using a convergence-control parameter, the HAM utilizes a simple method to adjust and control the convergence region of the infinite series solution. The obtained results show that the HAM is a very accurate technique to obtain the approximate solution.http://dx.doi.org/10.1155/2013/424510 |
| spellingShingle | Mohammad Ghoreishi A. I. B. Md. Ismail Abdur Rashid On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components Abstract and Applied Analysis |
| title | On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components |
| title_full | On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components |
| title_fullStr | On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components |
| title_full_unstemmed | On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components |
| title_short | On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components |
| title_sort | on the convergence of the homotopy analysis method for inner resonance of tangent nonlinear cushioning packaging system with critical components |
| url | http://dx.doi.org/10.1155/2013/424510 |
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