RT info:eu-repo/semantics/article
T1 An Efficient Discrete Model to Approximate the Solutions of a Nonlinear Double-Fractional Two-Component Gross–Pitaevskii-Type System
A1 Macías Díaz, Jorge E.
A1 Reguera López, Nuria
A1 Serna Reyes, Adán J.
K1 Fractional Bose-Einstein model
K1 Double-fractional system
K1 Fully dicrete model
K1 Stability and convergence analysis
K1 Matemáticas
K1 Mathematics
AB In this work, we introduce and theoretically analyze a relatively simple numerical algorithmto solve a double-fractional condensate model. The mathematical system is a generalization ofthe famous Gross–Pitaevskii equation, which is a model consisting of two nonlinear complexvalued diffusive differential equations. The continuous model studied in this manuscript is amultidimensional system that includes Riesz-type spatial fractional derivatives. We prove here therelevant features of the numerical algorithm, and illustrative simulations will be shown to verify thequadratic order of convergence in both the space and time variables.
PB MDPI
YR 2021
FD 2021-10
LK http://hdl.handle.net/10259/7966
UL http://hdl.handle.net/10259/7966
LA eng
NO 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.
DS Repositorio Institucional de la Universidad de Burgos
RD 09-may-2024