A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation

Hongyu Qin, Fengyan Wu and Deng Ding

Applied Mathematics and Computation, 2022, vol. 412, issue C

Abstract: We develop a linearized compact alternating direction implicit (ADI) numerical method to solve the nonlinear delayed Schrödinger equation in two-dimensional space. By discrete energy estimate method, we analyse the convergence of the fully-discrete numerical method, and show that the numerical scheme is of order O(Δt2+h4) with time stepsize Δt and space stepsize h. At last, we present several numerical examples to confirm theoretical analyses.

Keywords: Nonlinear delayed Schrödinger equation; Compact ADI numerical method; Convergence; Stability (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321006640

DOI: 10.1016/j.amc.2021.126580

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