High-dimensional nonlinear Ginzburg-Landau equation with fractional Laplacian: discretization and simulations
DOI10.1016/j.cnsns.2021.105920zbMath1493.65128OpenAlexW3168724826MaRDI QIDQ2045967
Rui Du, Yan-yan Wang, Zhao-peng Hao
Publication date: 16 August 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105920
convergenceunique solvabilityfractional Laplaciannonlinear Ginzburg-Landau equationerror estimate in maximum norm
Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56)
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