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Convergence of Galerkin approximations for the Kuramoto‐Tsuzuki equation
Author(s) -
Omrani Khaled
Publication year - 2005
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.20070
Subject(s) - mathematics , galerkin method , convergence (economics) , uniqueness , partial differential equation , mathematical analysis , approximations of π , finite element method , physics , economics , thermodynamics , economic growth
Standard Galerkin approximations, using smooth splines to solutions of the Kuramoto‐Tsuzuki equation are analyzed. The existence, uniqueness, and convergence of the fully discrete Crank‐Nicolson scheme are discussed. Furthermore, a second‐order convergent linearized Galerkin approximation are derived. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 21, 2005