Article

Time-dependent source identification problem for the Schrödinger equation with nonlocal boundary conditions

Allaberen AshyralyevDepartment of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, TurkeyMesut UrunDepartment of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey

2019en

ABI

Abstract

In the present study, a source identification problem for a one-dimensional Schrödinger equation with nonlocal boundary conditions is investigated. Stability estimates for the solution of the source identification problem are established. A first order of accuracy difference scheme for the numerical solution of this problem is presented. Stability estimates for the solution of this difference scheme are established. Numerical results are provided.

Identifiers

DOI: 10.1063/1.5136178

Citations and references

Cited by 60 references

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