{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T15:43:16Z","timestamp":1760110996189,"version":"build-2065373602"},"reference-count":43,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,6,14]],"date-time":"2024-06-14T00:00:00Z","timestamp":1718323200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100017587","name":"Innovation Foundation of Hebei University of Engineering","doi-asserted-by":"publisher","award":["SJ2401002097","12201199","2022JJ40021","21B0722"],"award-info":[{"award-number":["SJ2401002097","12201199","2022JJ40021","21B0722"]}],"id":[{"id":"10.13039\/501100017587","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Natural Science Foundation of China","award":["SJ2401002097","12201199","2022JJ40021","21B0722"],"award-info":[{"award-number":["SJ2401002097","12201199","2022JJ40021","21B0722"]}]},{"name":"Natural Science Foundation of the Department of Education of Hunan Province","award":["SJ2401002097","12201199","2022JJ40021","21B0722"],"award-info":[{"award-number":["SJ2401002097","12201199","2022JJ40021","21B0722"]}]},{"name":"Educational Department of Hunan Province of China","award":["SJ2401002097","12201199","2022JJ40021","21B0722"],"award-info":[{"award-number":["SJ2401002097","12201199","2022JJ40021","21B0722"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, a high-accuracy conservative implicit algorithm for computing the space fractional coupled Schr\u00f6dinger\u2013Boussinesq 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 \u03b1.<\/jats:p>","DOI":"10.3390\/axioms13060400","type":"journal-article","created":{"date-parts":[[2024,6,14]],"date-time":"2024-06-14T08:02:26Z","timestamp":1718352146000},"page":"400","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Conservative Difference Scheme for Solving the Coupled Fractional Schr\u00f6dinger\u2013Boussinesq System"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-4026-6311","authenticated-orcid":false,"given":"Yao","family":"Shi","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, Hebei University of Engineering, Handan 056038, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7580-0529","authenticated-orcid":false,"given":"Rian","family":"Yan","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Hunan City University, Yiyang 413000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1024-3201","authenticated-orcid":false,"given":"Tao","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/s10114-010-8034-6","article-title":"The global solution of the system of equations for complex Schr\u00f6dinger field coupled with Boussinesq type self-consistent field","volume":"26","author":"Guo","year":"1983","journal-title":"Acta Math. 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