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• W2907172426 startingPage "2387" @default.
• W2907172426 abstract "In this paper, a conservative spectral Galerkin method, which is based on the Crank-Nicolson method for the temporal discretization and Legendre spectral Galerkin method for the spatial discretization, is proposed to solve the coupled nonlinear space-fractional Schrödinger equations. We proved that the proposed method satisfies the mass and energy conservation laws in the discrete sense. Moreover, a rigorous analysis of the unique solvability and optimal error estimate in the L2-norm of the Crank-Nicolson spectral Galerkin method are derived. In order to compute the nonlinear system efficiently, we introduce a linear iterative algorithm in implementation. A series of numerical experiments are carried out to illustrate the efficiency of the method." @default.
• W2907172426 created "2019-01-11" @default.
• W2907172426 creator A5070360961 @default.
• W2907172426 creator A5091086245 @default.
• W2907172426 date "2019-01-06" @default.
• W2907172426 modified "2023-10-11" @default.
• W2907172426 title "A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations" @default.
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• W2907172426 doi "https://doi.org/10.1080/00207160.2018.1563687" @default.
• W2907172426 hasPublicationYear "2019" @default.
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