Galerkin Approximations of Periodic Solutions of Boussinesq Systems
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چکیده
We consider the periodic initial-value problem for the family of a-b-c-d Boussinesq systems, [8], [9], and their completely symmetric analogs, [10]. We approximate their solutions by the standard Galerkin-finite element method using smooth periodic splines for discretizing in space. We prove optimal-order L error estimates for the resulting semidiscretizations. The numerical schemes are usual in computations of cnoidal-wave solutions of these systems, as well as of solitary-wave solutions of systems with negative b and d.
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تاریخ انتشار 2010