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• W2891932337 abstract "In this paper, we propose a cubic non-polynomial spline method to solve the time-fractional nonlinear Schrödinger equation. The method is based on applying the $L_{1}$ formula to approximate the Caputo fractional derivative and employing the cubic non-polynomial spline functions to approximate the spatial derivative. By considering suitable relevant parameters, the scheme of order $O(tau^{2-alpha }+h^{4})$ has been obtained. The unconditional stability of the method is analyzed by the Fourier analysis. Numerical experiments are given to illustrate the effectiveness and accuracy of the proposed method." @default.
• W2891932337 created "2018-09-27" @default.
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• W2891932337 date "2018-09-11" @default.
• W2891932337 modified "2023-09-27" @default.
• W2891932337 title "Non-polynomial spline method for the time-fractional nonlinear Schrödinger equation" @default.
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• W2891932337 doi "https://doi.org/10.1186/s13662-018-1743-3" @default.
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