Explicit solutions of generalized nonlinear Boussinesq equations
By considering the Adomian decomposition scheme, we solve a generalized Boussinesq equation. The method does not need linearization or weak nonlinearly assumptions. By using this scheme, the solutions are calculated in the form of a convergent power series with easily computable components. The deco...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X01000067 |
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| _version_ | 1832561452097994752 |
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| author | Doğan Kaya |
| author_facet | Doğan Kaya |
| author_sort | Doğan Kaya |
| collection | DOAJ |
| description | By considering the Adomian decomposition scheme, we
solve a generalized Boussinesq equation. The method does not need
linearization or weak nonlinearly assumptions. By using this
scheme, the solutions are calculated in the form of a convergent
power series with easily computable components. The decomposition
series analytic solution of the problem is quickly obtained by
observing the existence of the self-canceling “noise” terms
where sum of components vanishes in the limit. |
| format | Article |
| id | doaj-art-b0b96f492e0b416da882ef42301d5cad |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b0b96f492e0b416da882ef42301d5cad2025-02-03T01:25:03ZengWileyJournal of Applied Mathematics1110-757X1687-00422001-01-0111293710.1155/S1110757X01000067Explicit solutions of generalized nonlinear Boussinesq equationsDoğan Kaya0Department of Mathematics, Firat University, Elazig 23119, TurkeyBy considering the Adomian decomposition scheme, we solve a generalized Boussinesq equation. The method does not need linearization or weak nonlinearly assumptions. By using this scheme, the solutions are calculated in the form of a convergent power series with easily computable components. The decomposition series analytic solution of the problem is quickly obtained by observing the existence of the self-canceling “noise” terms where sum of components vanishes in the limit.http://dx.doi.org/10.1155/S1110757X01000067 |
| spellingShingle | Doğan Kaya Explicit solutions of generalized nonlinear Boussinesq equations Journal of Applied Mathematics |
| title | Explicit solutions of generalized nonlinear Boussinesq equations |
| title_full | Explicit solutions of generalized nonlinear Boussinesq equations |
| title_fullStr | Explicit solutions of generalized nonlinear Boussinesq equations |
| title_full_unstemmed | Explicit solutions of generalized nonlinear Boussinesq equations |
| title_short | Explicit solutions of generalized nonlinear Boussinesq equations |
| title_sort | explicit solutions of generalized nonlinear boussinesq equations |
| url | http://dx.doi.org/10.1155/S1110757X01000067 |
| work_keys_str_mv | AT dogankaya explicitsolutionsofgeneralizednonlinearboussinesqequations |