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Numerical solution to a linearized KdV equation on unbounded domain. (English) Zbl 1140.65070
The authors present a numerical simulation of a linearized Korteweg-de Vries (KdV) equation on the whole real axis. A number of theorems is presented for the theoretical foundation and numerical experiments are presented for the validation of the proposed theory. The numerical experiments are quite interesting.

MSC:
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
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