Homotopy Perturbation Method for Solving Wave-Like Nonlinear Equations with Initial-Boundary Conditions
The homotopy perturbation method is employed to obtain approximate analytical solutions of the wave-like nonlinear equations with initial-boundary conditions. An efficient way of choosing the auxiliary operator is presented. The results demonstrate reliability and efficiency of the method.
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/534165 |
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| _version_ | 1832562480246685696 |
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| author | Afgan Aslanov |
| author_facet | Afgan Aslanov |
| author_sort | Afgan Aslanov |
| collection | DOAJ |
| description | The homotopy perturbation method is employed to obtain approximate analytical solutions of the wave-like nonlinear equations with initial-boundary conditions. An efficient way of choosing the auxiliary operator is presented. The
results demonstrate reliability and efficiency of the method. |
| format | Article |
| id | doaj-art-88c3fc2558534e0c8ff9eca80459397d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-88c3fc2558534e0c8ff9eca80459397d2025-02-03T01:22:33ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/534165534165Homotopy Perturbation Method for Solving Wave-Like Nonlinear Equations with Initial-Boundary ConditionsAfgan Aslanov0Mathematics and Computing Department, Beykent University, 34396 Istanbul, TurkeyThe homotopy perturbation method is employed to obtain approximate analytical solutions of the wave-like nonlinear equations with initial-boundary conditions. An efficient way of choosing the auxiliary operator is presented. The results demonstrate reliability and efficiency of the method.http://dx.doi.org/10.1155/2011/534165 |
| spellingShingle | Afgan Aslanov Homotopy Perturbation Method for Solving Wave-Like Nonlinear Equations with Initial-Boundary Conditions Discrete Dynamics in Nature and Society |
| title | Homotopy Perturbation Method for Solving Wave-Like Nonlinear Equations with Initial-Boundary Conditions |
| title_full | Homotopy Perturbation Method for Solving Wave-Like Nonlinear Equations with Initial-Boundary Conditions |
| title_fullStr | Homotopy Perturbation Method for Solving Wave-Like Nonlinear Equations with Initial-Boundary Conditions |
| title_full_unstemmed | Homotopy Perturbation Method for Solving Wave-Like Nonlinear Equations with Initial-Boundary Conditions |
| title_short | Homotopy Perturbation Method for Solving Wave-Like Nonlinear Equations with Initial-Boundary Conditions |
| title_sort | homotopy perturbation method for solving wave like nonlinear equations with initial boundary conditions |
| url | http://dx.doi.org/10.1155/2011/534165 |
| work_keys_str_mv | AT afganaslanov homotopyperturbationmethodforsolvingwavelikenonlinearequationswithinitialboundaryconditions |