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Numerical simulations of the improved Boussinesq equation
Author(s) -
Irk Dursun,
Dağ İdris
Publication year - 2010
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.20492
Subject(s) - mathematics , discretization , partial differential equation , finite element method , norm (philosophy) , mathematical analysis , boussinesq approximation (buoyancy) , finite difference , finite difference method , numerical analysis , partial derivative , physics , mechanics , political science , law , thermodynamics , convection , natural convection , rayleigh number
In this study, numerical simulations of the improved Boussinesq equation are obtained using two finite difference schemes and two finite element methods, based on the second‐and third‐order time discretization. The methods are tested on the problems of propagation of a soliton and interaction of two solitons. After the L ∞ error norm is used to measure differences between the exact and numerical solutions, the results obtained by the proposed methods are compared with recently published results. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010