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http://dx.doi.org/10.1016/S0096-3003(01)00282-X

has been cited by the following article:

• TITLE: A Trapezoidal-Like Integrator for the Numerical Solution of One-Dimensional Time Dependent Schrödinger Equation

  AUTHORS: Johnson Oladele Fatokun

  KEYWORDS: Schrödinger’s Equation, Partial Differential Equations, Method of Lines (MOL), Stiff ODE, Trapezoidal-Like Integrator

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.4 No.4, August 29, 2014

  ABSTRACT: In this paper, the one-dimensional time dependent Schr?dinger equation is discretized by the method of lines using a second order finite difference approximation to replace the second order spatial derivative. The evolving system of stiff Ordinary Differential Equation (ODE) in time is solved numerically by an L-stable trapezoidal-like integrator. Results show accuracy of relative maximum error of order 10?4 in the interval of consideration. The performance of the method as compared to an existing scheme is considered favorable.