2026-04-20T16:09:48Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/79672023-11-10T01:05:20Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

Serna Reyes, Adán J. 69c1a9ba-b3da-4512-ae09-98a5ce446551 600 Macías Díaz, Jorge E. d15a1e35-0c8a-4334-9c9e-0ded4276cfa3 600 Reguera López, Nuria 470 600 0000-0002-6219-5531 2023-11-09T09:05:02Z 2023-11-09T09:05:02Z 2021-06 http://hdl.handle.net/10259/7967 10.3390/math9121412 2227-7390 This manuscript introduces a discrete technique to estimate the solution of a doublefractional two-component Bose–Einstein condensate. The system consists of two coupled nonlinear parabolic partial differential equations whose solutions are two complex functions, and the spatial fractional derivatives are interpreted in the Riesz sense. Initial and homogeneous Dirichlet boundary data are imposed on a multidimensional spatial domain. To approximate the solutions, we employ a finite difference methodology. We rigorously establish the existence of numerical solutions along with the main numerical properties. Concretely, we show that the scheme is consistent in both space and time as well as stable and convergent. Numerical simulations in the one-dimensional scenario are presented in order to show the performance of the scheme. For the sake of convenience, A MATLAB code of the numerical model is provided in the appendix at the end of this work. This research was funded by the National Council for Science and Technology of Mexico (CONACYT) through grant A1-S-45928 and by Ministerio de Ciencia e Innovación and Regional Development European Funds through project PGC2018-101443-B-I00. eng MDPI Mathematics. 2021, V. 9, n. 12, 1412 https://doi.org/10.3390/math9121412 Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Two-component Bose-Einstein condensate Double-fractional system Numerically efficient scheme Matemáticas Mathematics A Convergent Three-Step Numerical Method to Solve a Double-Fractional Two-Component Bose–Einstein Condensate info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mathematics 9 12 THUMBNAIL Serna-mathematics_2021.pdf.jpg Serna-mathematics_2021.pdf.jpg IM Thumbnail image/jpeg 3471 https://riubu.ubu.es/bitstream/10259/7967/4/Serna-mathematics_2021.pdf.jpg 7980c439fc128824e315ffb92574ff1a MD5 4 LICENSE license.txt license.txt text/plain; charset=utf-8 999 https://riubu.ubu.es/bitstream/10259/7967/3/license.txt b295bcbce42e2caabeb0c623d3860c06 MD5 3 CC-LICENSE license_rdf license_rdf application/rdf+xml; charset=utf-8 908 https://riubu.ubu.es/bitstream/10259/7967/2/license_rdf 0175ea4a2d4caec4bbcc37e300941108 MD5 2 ORIGINAL Serna-mathematics_2021.pdf Serna-mathematics_2021.pdf application/pdf 1574918 https://riubu.ubu.es/bitstream/10259/7967/1/Serna-mathematics_2021.pdf b9d72772ae6a7dcae29e9de3ee913d89 MD5 1 10259/7967 oai:riubu.ubu.es:10259/7967 2023-11-10 02:05:20.933 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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