A Conservative Difference Scheme for Solving the Coupled Fractional Schrödinger–Boussinesq System

Autor:	Yao Shi, Rian Yan, Tao Liu
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	fractional Schrödinger–Boussinesq equation conservative difference scheme high-order approximation convergence Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 6, p 400 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13060400
Popis:	In this paper, a high-accuracy conservative implicit algorithm for computing the space fractional coupled Schrödinger–Boussinesq system is constructed. Meanwhile, the conservative nature, a priori boundedness, and solvability of the numerical solution are presented. Then, the proposed algorithm is proved to be second-order convergence in temporal and fourth-order spatial convergence using the discrete energy method. Finally, some numerical experiments validate the effectiveness of the conservative algorithm and confirm the accuracy of the theoretical results for different choices of the fractional-order α.
Databáze:	Directory of Open Access Journals
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