dc.contributor.author | Serna Reyes, Adán J. | |
dc.contributor.author | Macías Díaz, Jorge E. | |
dc.contributor.author | Reguera López, Nuria | |
dc.date.accessioned | 2023-11-09T09:05:02Z | |
dc.date.available | 2023-11-09T09:05:02Z | |
dc.date.issued | 2021-06 | |
dc.identifier.uri | http://hdl.handle.net/10259/7967 | |
dc.description.abstract | 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. | en |
dc.description.sponsorship | 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. | en |
dc.language.iso | eng | es |
dc.publisher | MDPI | es |
dc.relation.ispartof | Mathematics. 2021, V. 9, n. 12, 1412 | es |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Two-component Bose-Einstein condensate | en |
dc.subject | Double-fractional system | en |
dc.subject | Numerically efficient scheme | en |
dc.subject.other | Matemáticas | es |
dc.subject.other | Mathematics | en |
dc.title | A Convergent Three-Step Numerical Method to Solve a Double-Fractional Two-Component Bose–Einstein Condensate | en |
dc.type | info:eu-repo/semantics/article | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.relation.publisherversion | https://doi.org/10.3390/math9121412 | es |
dc.identifier.doi | 10.3390/math9121412 | |
dc.identifier.essn | 2227-7390 | |
dc.journal.title | Mathematics | en |
dc.volume.number | 9 | es |
dc.issue.number | 12 | es |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es |
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