A high-order structure-preserving difference scheme for generalized fractional Schrödinger equation with wave operator

Xi Zhang, Maohua Ran, Yang Liu and Li Zhang

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 210, issue C, 532-546

Abstract: This paper focuses on the construction and analysis of the structure-preserving algorithm for generalized fractional Schrödinger equation with wave operator. A fourth-order energy-conserving difference scheme is developed for the resulting equivalent system based on scalar auxiliary variable approach. The discrete energy conservation law, boundedness and convergence of difference solutions are proved in detail. Numerical experiments are performed to verify our theoretical analysis results.

Keywords: Fractional Schrödinger equation with wave operator; Scalar auxiliary variable approach; Structure-preserving algorithm; Energy-conserving scheme; Boundedness; Convergence (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:210:y:2023:i:c:p:532-546

DOI: 10.1016/j.matcom.2023.03.027

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