On the Crank-Nicolson difference scheme for the time-dependent source identification problem
Дереккөздi идентификациялау бейстационарлы есебi үшiн Кранк-Николсонның айырымдық схемасы туралы
О разностной схеме Кранка-Николсона для нестационарной задачи идентификации источника
Ashyralyev A. Urun M.
2021E.A.Buketov Karaganda State University Publish House
Bulletin of the Karaganda University. Mathematics Series
2021#102Issue 235 - 44 pp.
In this study the source identification problem for the one-dimensional Schrödinger 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.
Crank-Nicolson , difference scheme , identification problem , Schrödinger equation , stability
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Near East University, Nicosia, Turkey
Peoples’ Friendship University of Russia (RUDN University), Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Galatasaray University, Istanbul, Turkey
Near East University
Peoples’ Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Galatasaray University
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Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026