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dc.contributor.authorSerna-Reyes, Adán
dc.contributor.authorMacías Díaz, Jorge E.
dc.contributor.authorGallegos, Armando
dc.contributor.authorReguera López, Nuria 
dc.date.accessioned2023-11-21T11:26:27Z
dc.date.available2023-11-21T11:26:27Z
dc.date.issued2022-08
dc.identifier.issn0259-9791
dc.identifier.urihttp://hdl.handle.net/10259/8076
dc.description.abstractIn this work, we introduce and theoretically analyze various computational techniques to approximate the solutions of solve a fractional extension of a double condensate system. More precisely, the continuous model extends the well-known Gross–Pitaevskii equation to the fractional scenario, and considering two interacting condensates. The mathematical system considers two complex-valued regimes with coupling, and a mass and energy functions are associated to this model. Both are constant in time. Here, various discretizations are analyzed to solve this system. Some of them are able to preserve the mass and the energy, some are not. We discuss the existence of solutions, the consistency of the models, the stability and the convergence. Finally, from the computational point of view, some algorithms are simpler to code than others. In fact, those for which the mass and the energy are conserved are more difficult to implement. We discuss here pros and cons.en
dc.description.sponsorshipOne of us (J.E.M.-D.) wishes to acknowledge the financial support from the National Council for Science and Technology of Mexico (CONACYT) through Grant A1-S-45928.en
dc.format.mimetypeapplication/pdf
dc.language.isoenges
dc.publisherSpringeren
dc.relation.ispartofJournal of Mathematical Chemistry. 2022, V. 60, n. 7, p. 1272–1286en
dc.subjectFractional Bose–Einstein modelen
dc.subjectDouble-fractional systemen
dc.subjectFully discrete modelen
dc.subjectStability and convergence analysisen
dc.subject.otherMatemáticases
dc.subject.otherMathematicsen
dc.titleCMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross–Pitaevskii systemen
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.relation.publisherversionhttps://doi.org/10.1007/s10910-022-01360-9es
dc.identifier.doi10.1007/s10910-022-01360-9
dc.relation.projectIDinfo:eu-repo/grantAgreement/CONACYT//A1-S-45928/MX/es
dc.identifier.essn1572-8897
dc.journal.titleJournal of Mathematical Chemistryen
dc.volume.number60es
dc.issue.number7es
dc.page.initial1272es
dc.page.final1286es
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersiones


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