Convergence of Galerkin approximations for the Kuramoto‐Tsuzuki equation | Zendy

Omrani Khaled | Zendy

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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

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