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Polynomial approximate solutions of a generalized Boussinesq equation
Author(s) -
Olsen Jeffrey S.,
Telyakovskiy Aleksey S.
Publication year - 2013
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1002/wrcr.20242
Subject(s) - boussinesq approximation (buoyancy) , mathematics , polynomial , exact solutions in general relativity , mathematical analysis , physics , mechanics , heat transfer , natural convection , rayleigh number
Key Points New analytical solutions to the generalized Boussinesq equation were obtained. The approximate solutions reproduce exact solutions of the Boussinesq equation. The approximate solutions compare favorably with the exact numerical solution.