Explicit solutions of generalized nonlinear Boussinesq equations

Doğan Kaya

Journal of Applied Mathematics, 2001, vol. 1, 1-9

Abstract:

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:647692

DOI: 10.1155/S1110757X01000067

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