2026-04-20T19:11:13Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/79662023-11-10T01:05:31Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

An Efficient Discrete Model to Approximate the Solutions of a Nonlinear Double-Fractional Two-Component Gross–Pitaevskii-Type System Macías Díaz, Jorge E. Reguera López, Nuria Serna Reyes, Adán J. Fractional Bose-Einstein model Double-fractional system Fully dicrete model Stability and convergence analysis Matemáticas Mathematics In this work, we introduce and theoretically analyze a relatively simple numerical algorithm to solve a double-fractional condensate model. The mathematical system is a generalization of the famous Gross–Pitaevskii equation, which is a model consisting of two nonlinear complexvalued diffusive differential equations. The continuous model studied in this manuscript is a multidimensional system that includes Riesz-type spatial fractional derivatives. We prove here the relevant features of the numerical algorithm, and illustrative simulations will be shown to verify the quadratic order of convergence in both the space and time variables. J.E.M.-D. thanks the National Council of Science and Technology of Mexico for financially supporting him via grant A1-S-45928. Ministerio de Ciencia e Innovación and Regional Development European Funds through project PGC2018-101443-B-I00. 2023-11-09T08:46:13Z 2023-11-09T08:46:13Z 2021-10 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://hdl.handle.net/10259/7966 10.3390/math9212727 2227-7390 eng Mathematics. 2021, V. 9, n. 21, 2727 https://doi.org/10.3390/math9212727 Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess MDPI