Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems
We implement a relatively new analytical technique, the variational iteration decomposition method (VIDM), for solving the eighth-order boundary value problems. The proposed method is an elegant combination of variational iteration method and decomposition method. The analytical results of the equat...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/2007/19529 |
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| _version_ | 1832545698774515712 |
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| author | Muhammad Aslam Noor Syed Tauseef Mohyud-Din |
| author_facet | Muhammad Aslam Noor Syed Tauseef Mohyud-Din |
| author_sort | Muhammad Aslam Noor |
| collection | DOAJ |
| description | We implement a relatively new analytical technique, the variational iteration decomposition method (VIDM), for solving the eighth-order boundary value problems. The proposed method is an elegant combination of variational iteration method and decomposition method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Numerical work is given to check the efficiency of the method. Comparisons are made to confirm the reliability and accuracy of the technique. The technique can be used as an alternative for solving nonlinear boundary value problems. |
| format | Article |
| id | doaj-art-2196c430f55f4e12929dbecdb3630e75 |
| institution | Kabale University |
| issn | 1687-4099 1687-4102 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Differential Equations and Nonlinear Mechanics |
| spelling | doaj-art-2196c430f55f4e12929dbecdb3630e752025-02-03T07:25:00ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022007-01-01200710.1155/2007/1952919529Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value ProblemsMuhammad Aslam Noor0Syed Tauseef Mohyud-Din1Department of Mathematics, COMSATS Institute of Information Technology, Plot no. 30, Sector H-8, Islamabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Plot no. 30, Sector H-8, Islamabad, PakistanWe implement a relatively new analytical technique, the variational iteration decomposition method (VIDM), for solving the eighth-order boundary value problems. The proposed method is an elegant combination of variational iteration method and decomposition method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Numerical work is given to check the efficiency of the method. Comparisons are made to confirm the reliability and accuracy of the technique. The technique can be used as an alternative for solving nonlinear boundary value problems.http://dx.doi.org/10.1155/2007/19529 |
| spellingShingle | Muhammad Aslam Noor Syed Tauseef Mohyud-Din Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems Differential Equations and Nonlinear Mechanics |
| title | Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems |
| title_full | Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems |
| title_fullStr | Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems |
| title_full_unstemmed | Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems |
| title_short | Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems |
| title_sort | variational iteration decomposition method for solving eighth order boundary value problems |
| url | http://dx.doi.org/10.1155/2007/19529 |
| work_keys_str_mv | AT muhammadaslamnoor variationaliterationdecompositionmethodforsolvingeighthorderboundaryvalueproblems AT syedtauseefmohyuddin variationaliterationdecompositionmethodforsolvingeighthorderboundaryvalueproblems |