期刊论文

Shi, Y;Yan, R

英文

Axioms

2075-1680

2024

13

6

400-

10.3390/axioms13060400

Conceptualization, Y.S. and R.Y.; formal analysis, Y.S.; funding acquisition, Y.S. and R.Y.; investigation, Y.S. and R.Y.; validation, Y.S. and T.L.; and writing—original draft, Y.S. and T.L. All authors have read and agreed to the published version of the manuscript. This research was funded by the Innovation Foundation of Hebei University of Engineering (SJ2401002097), the National Natural Science Foundation of China (12201199), the Natural Science Foundation of the Department of Education of Hunan Province (2022JJ40021), and the Educational Department of Hunan Province of China (21B0722).

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In this paper, a high-accuracy conservative implicit algorithm for computing the space fractional coupled Schr & ouml;dinger-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 th...