Purpose The purpose of this paper is to obtain the nonlinear Schrodinger equation (NLSE) numerical solutions in the presence of the first-order chromatic dispersion using a second-order, unconditionally stable,
Co**rt上传7.77 MB文件格式zipschrodinger 双狭缝二维薛定inger (正在开发的README文件和存储库) 可在找到用于这些模拟的方法的详细说明。 概括 该存储库包含Python 3脚本,用于模拟2D高斯波包通过双缝的通过。 为此,使用Crank-Nicolson数值方法求解了二维Schrödinger方程。
two-grid methodCrank-Nicolson schemeerror estimatesSchr¨odinger equation.In this paper,we construct a Crank-Nicolson finite volume element scheme and a two-grid decoupling algorithm for solving the time-dependent Schr篓odinger equation.Combining the idea of two-grid discretization,the decoupling ...
Xiao Liang,Abdul Q.M. Khaliq,Qin Sheng.Applied Mathematics and Computation . 2014X. Liang, A. Q. M. Khaliq, and Q. Sheng, Exponential time differencing Crank-Nicolson method with a quartic spline approximation for nonlinear Schrodinger equations, Appl Math Comput 235 (2014), 235-252....
Chen, ShanzhenInternational Journal of Computer MathematicsZhang, H.; Jiang, X.Y.; Wang, C.; Chen, S.Z. Crank-Nicolson Fourier spectral method for the space fractional nonlinear Schrodinger equation and its parameter estimation. Int. J. Compt. Math. 2019, 96, 238-263. [CrossRef]...
We consider an initial-boundary value problem for a 2D time-dependent Schrdinger equation on a semi-infinite strip. For the Numerov–Crank–Nicolson finite-difference scheme with discrete transparent boundary conditions, the Strang-type splitting with respect to the potential is applied. For the ...
Derivation of the multisymplectic Crank-Nicolson scheme for the nonlinear Schrodinger equationCaiW.WangY.SongCOMPUTER PHYSICS COMMUNICATIONS
finite element methodIn this paper, we study the Crank-Nicolson Galerkin finite element method and construct a two-grid algorithm for the general two-dimensional time-dependent Schrodinger equation. Firstly, we analyze the superconvergence error estimate of the finite element solution in H-1 norm by...
A. Zlotnik, Error estimates of the Crank-Nicolson-polylinear FEM with the discrete TBC for the generalized Schrodinger equation in an unbounded parallelepiped. In: Proc. of FDM-6. Lect. Notes Comput. Sci., Vol. 9045. Springer, Berlin, 2015, 129-141....
Semi-implicit Crank-Nicolson schemesThe paper is concerned with the time step condition of the commonly-used semi-implicit Crank-Nicolson finite difference schemes for a coupled nonlinear Schrodinger system in three dimensional space. We present the optimal L-2 error estimate without any restriction ...