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2013 Determination of a Control Parameter for the Difference Schrödinger Equation
Allaberen Ashyralyev, Mesut Urun
Abstr. Appl. Anal. 2013(SI62): 1-8 (2013). DOI: 10.1155/2013/548201

Abstract

The first order of accuracy difference scheme for the numerical solution of the boundary value problem for the differential equation with parameter p , i ( d u ( t ) / d t ) + A u ( t ) + i u ( t ) = f ( t ) + p , 0 < t < T , u ( 0 ) = φ , u ( T ) = ψ , in a Hilbert space H with self-adjoint positive definite operator A 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.

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Allaberen Ashyralyev. Mesut Urun. "Determination of a Control Parameter for the Difference Schrödinger Equation." Abstr. Appl. Anal. 2013 (SI62) 1 - 8, 2013. https://doi.org/10.1155/2013/548201

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1291.65091
MathSciNet: MR3126791
Digital Object Identifier: 10.1155/2013/548201

Rights: Copyright © 2013 Hindawi

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