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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |