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The Adomian decomposition method for solving the Boussinesq equation arising in water wave propagation
Author(s) -
Attili Basem S.
Publication year - 2006
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20155
Subject(s) - adomian decomposition method , mathematics , decomposition method (queueing theory) , partial differential equation , boussinesq approximation (buoyancy) , decomposition , mathematical analysis , physics , mechanics , heat transfer , rayleigh number , biology , ecology , natural convection , discrete mathematics
Abstract We will consider the application of the Adomian decomposition method to approximate the solution of the Boussinesq equation. Both the well‐posed and the ill‐posed cases will be considered. The results obtained will be compared to the theoretical solution for single soliton wave. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2006