Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system

DOI10.1016/j.cam.2021.113413zbMath1486.65129OpenAlexW3124001662MaRDI QIDQ2059607

Adán J. Serna-Reyes, Jorge Eduardo Macías-Díaz

Publication date: 14 December 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113413

zbMATH Keywords

convergence analysisstability analysisconservation of energyRiesz space-fractional derivativesfractional Gross-Pitaevskii system

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Related Items (4)

CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross-Pitaevskii system ⋮ A nonlinear discrete model for approximating a conservative multi-fractional Zakharov system: analysis and computational simulations ⋮ A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs' free energy for a nonlinear combustion equation ⋮ Analysis of a scheme which preserves the dissipation and positivity of Gibbs' energy for a nonlinear parabolic equation with variable diffusion

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