数学
光谱法
傅里叶变换
搭配(遥感)
曲柄-尼科尔森法
伽辽金法
傅里叶级数
数学分析
薛定谔方程
空格(标点符号)
应用数学
数值分析
物理
有限元法
计算机科学
机器学习
操作系统
热力学
作者
Lei Zhang,Yang Rui,Li Zhang,Lisha Wang
摘要
In this paper, the Crank-Nicolson Fourier spectral method is proposed for solving the space fractional Schrödinger equation with wave operators. The equation is treated with the conserved Crank-Nicolson Fourier Galerkin method and the conserved Crank-Nicolson Fourier collocation method, respectively. In addition, the ability of the constructed numerical method to maintain the conservation of mass and energy is studied in detail. Meanwhile, the convergence with spectral accuracy in space and second-order accuracy in time is verified for both Galerkin and collocation approximations. Finally, the numerical experiments verify the properties of the conservative difference scheme and demonstrate the correctness of theoretical results.
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