Publication: Highly accurate compact difference schemes for multidimensional delay Schrödinger equations
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Date
2025
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Publisher
Walter de Gruyter GmbH
Abstract
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. © 2025 Elsevier B.V., All rights reserved.