An efficient discrete model to approximate the solutions of a nonlinear double-fractional two-component gross–Pitaevskii-Type System

JE Macías-Díaz, N Reguera, AJ Serna-Reyes - Mathematics, 2021 - mdpi.com
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 …

A mass-and energy-conserving numerical model for a fractional Gross–Pitaevskii system in multiple dimensions

AJ Serna-Reyes, JE Macías-Díaz - Mathematics, 2021 - mdpi.com
This manuscript studies a double fractional extended p-dimensional coupled Gross–
Pitaevskii-type system. This system consists of two parabolic partial differential equations …

CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross–Pitaevskii system

A Serna-Reyes, JE Macías-Díaz, A Gallegos… - Journal of Mathematical …, 2022 - Springer
In this work, we introduce and theoretically analyze various computational techniques to
approximate the solutions of solve a fractional extension of a double condensate system …