The finite difference approximations of the optimal control problem for non-linear Schrödinger equation
by Nigar Yıldırım Aksoy; Gabil Yagubov; Bünyamin Yıldız
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 3, No. 3, 2012

Abstract: In this paper, the finite difference method is applied to the optimal control problem of system governed by non-linear Schrödinger equation. For this purpose, the finite difference scheme is constituted for considered optimal control problem. Obtained an estimation for the solution of this difference scheme, the error of the difference scheme is evaluated. Finally, the convergence according to the functional of the finite difference approximations is proved.

Online publication date: Sat, 30-Aug-2014

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