Determination of a Control Parameter for the Difference Schrödinger Equation-Reference-Cited by-同舟云学术

Determination of a Control Parameter for the Difference Schrödinger Equation

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ashyralyev Allaberen¹²,Urun Mesut¹³

Affiliation:

1. Department of Mathematics, Fatih University, Buyukcekmece, 34500 Istanbul, Turkey

2. ITTU, 32 Gerogly Street, 74400 Ashgabat, Turkmenistan

3. Department of Mathematics, Murat Education Institution, 34353 Istanbul, Turkey

Abstract

The first order of accuracy difference scheme for the numerical solution of the boundary value problem for the differential equation with parameterp,i(du(t)/dt)+Au(t)+iu(t)=f(t)+p,0<t<T,u(0)=φ,u(T)=ψ, in a Hilbert spaceHwith self-adjoint positive definite operatorAis 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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/548201.pdf

Reference25 articles.

1. Determination of a control parameter in the two-dimensional diffusion equation

2. A Parabolic Inverse Problem Arising in a Mathematical Model for Chromatography

3. Imaging the diffusion coefficient in a parabolic inverse problem in optical tomography

4. Identification of unknown diffusion and convection coefficients in ion transport problems from flux data: an analytical approach

5. Identification problems for parabolic delay differential equations with measurement on the boundary

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