2026-05-07T23:56:53Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/80762023-11-22T01:05:30Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

Serna-Reyes, Adán 69c1a9ba-b3da-4512-ae09-98a5ce446551 Macías Díaz, Jorge E. d15a1e35-0c8a-4334-9c9e-0ded4276cfa3 600 Gallegos, Armando 5606e12a-52ac-4b6e-8cb1-142657fbac4b Reguera López, Nuria 470 600 0000-0002-6219-5531 2023-11-21T11:26:27Z 2023-11-21T11:26:27Z 2022-08 0259-9791 http://hdl.handle.net/10259/8076 10.1007/s10910-022-01360-9 1572-8897 In 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. One 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. application/pdf eng Springer Journal of Mathematical Chemistry. 2022, V. 60, n. 7, p. 1272–1286 https://doi.org/10.1007/s10910-022-01360-9 info:eu-repo/grantAgreement/CONACYT//A1-S-45928/MX/ Fractional Bose–Einstein model Double-fractional system Fully discrete model Stability and convergence analysis Matemáticas Mathematics CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross–Pitaevskii system info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion info:eu-repo/semantics/openAccess Journal of Mathematical Chemistry 60 7 1272 1286 THUMBNAIL Serna-jmc_2022.pdf.jpg Serna-jmc_2022.pdf.jpg IM Thumbnail image/jpeg 4240 https://riubu.ubu.es/bitstream/10259/8076/3/Serna-jmc_2022.pdf.jpg 6d1df1578a53f949ff24cc622db5bc37 MD5 3 LICENSE license.txt license.txt text/plain; charset=utf-8 999 https://riubu.ubu.es/bitstream/10259/8076/2/license.txt b295bcbce42e2caabeb0c623d3860c06 MD5 2 ORIGINAL Serna-jmc_2022.pdf Serna-jmc_2022.pdf application/pdf 458752 https://riubu.ubu.es/bitstream/10259/8076/1/Serna-jmc_2022.pdf 6930136c5e64e4811b2201edecdf2e60 MD5 1 10259/8076 oai:riubu.ubu.es:10259/8076 2023-11-22 02:05:30.661 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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