Highly accurate compact difference schemes for multidimensional delay Schrödinger equations
Ashyralyev A. Agirseven D. Erköse B.
1 February 2026Walter de Gruyter GmbH
Georgian Mathematical Journal
2026#33Issue 119 - 30 pp.
In present paper, the second-order accurate stable compact difference schemes (DSs) for the delay Schrödinger-type partial differential equation (DSPDE) in a Hilbert space are constructed. The stability of these DSs is established. As applications, stability estimates (SEs) for the solutions of DSs for two types of DSPDEs are derived. A numerical method is proposed for solving one and two-dimensional DSPDEs.
r-modified Crank-Nicolson DSs , Schrödinger equations , SEs
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Department of Mathematics, Trakya University, Edirne, 22030, Turkey
Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics
Department of Mathematics
Peoples Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026