Abstract

In this paper we study the exact boundary controllability of linear Korteweg‐de Vries (KdV) equation on bounded domain. The control is the difference between the derivative of the solution in the first and last point of space. The first part of this work is a theoretical study. We prove the observability result which helped us, using Hilbert Uniqueness Method (H.U.M) [7], proving the controllability of KdV equation. The second part is a numerical study of the previous result. We apply the H.U.M method used previously theoretically as a calculus algorithm to find a control.

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