DOAJ Open Access 2021

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

A. Ashyralyev M. Urun

Abstrak

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.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

A. Ashyralyev

M. Urun

Format Sitasi

APA MLA BibTeX

Ashyralyev, A., Urun, M. (2021). On the Crank-Nicolson difference scheme for the time-dependent source identification problem. https://doi.org/10.31489/2021m2/35-44

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021m2/35-44
Akses: Open Access ✓