Determination of a Control Parameter for the Difference Schrödinger Equation

Allaberen Ashyralyev and Mesut Urun

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

The first order of accuracy difference scheme for the numerical solution of the boundary value problem for the differential equation with parameter , , , , , in a Hilbert space with self-adjoint positive definite operator is constructed. The well-posedness of this difference scheme is established. The stability inequalities for the solution of difference schemes for three different types of control parameter problems for the Schrödinger equation are obtained.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:548201

DOI: 10.1155/2013/548201

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