On the Crank-Nicolson difference scheme for the time-dependent source identification problem | Zendy

Allaberen Ashyralyev | Zendy; Mesut Urun | Zendy

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On the Crank-Nicolson difference scheme for the time-dependent source identification problem

Author(s) -

Allaberen Ashyralyev,

Mesut Urun

Publication year - 2021

Publication title -

bulletin of the karaganda university-mathematics

Language(s) - English

Resource type - Journals

eISSN - 2663-5011

pISSN - 2518-7929

DOI - 10.31489/2021m2/35-44

Subject(s) - crank–nicolson method , mathematics , scheme (mathematics) , stability (learning theory) , boundary value problem , identification (biology) , finite difference scheme , finite difference method , crank , differential equation , mathematical analysis , parameter identification problem , finite difference , computer science , geometry , botany , machine learning , biology , model parameter , cylinder

In this study the source identification problem for the one-dimensional Schr¨odinger equation with non-local boundary conditions is considered. A second order of accuracy Crank-Nicolson difference scheme for the numerical solution of the differential problem is presented. Stability estimates are proved for the solution of this difference scheme. Numerical results are given.

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