2026-04-20T19:11:42Zhttps://riubu.ubu.es/oai/requestoai: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
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.
2023-11-09
2023-11-09
2021-10
info:eu-repo/semantics/article
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
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
Atribución 4.0 Internacional
MDPI