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, implicit finite difference method. In addition, stability and accuracy are proved for the ...
Second, we use Crank–Nicolson and leap-frog scheme for discretizing the system in time direction. We find that...关键词: Space fractional nonlinear Schrodinger equation Crank-Nicolson Fourier spectral methods convergence mass and energy conservation parameter estimation Bayesian method ...
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]...
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 ...
Derivation of the multisymplectic Crank-Nicolson scheme for the nonlinear Schrodinger equationCaiW.WangY.SongingentaconnectComputer Physics Communications
finite element methodCrank-Nicolson schemeoptimal error estimateIn this paper, we study a Crank-Nicolson finite element method for the modified Maxwell-Schrodinger equations, which are deduced from the time-dependent Maxwell-Schrodinger equations under some assumptions. We present an (almost) ...
非线性Schrodinger方程的Crank-Nicolson有限差分格式的最优误差估计非线性Schrodinger方程 最优误差估计 有限差分格式 量子物理学 初边值问题 有限差分法 有限元方法 数值研究翟步祥 聂涛南京科技职业学院基础部vip高等学校计算数学学报
Q. M., Sheng Q.: Exponential time differencing Crank-Nicolson method with a quartic spline approximation for nonlinear Schro¨ dinger equations, Appl. Math. Comp., 235, 235-252 (2014)X. Liang, A. Q. M. Khaliq, and Q. Sheng, Exponential time differencing Crank-Nicolson method with a ...
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 ...
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...