A Trapezoidal-Like Integrator for the Numerical Solution of One-Dimensional Time Dependent Schrödinger Equation
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=49359#.VI5Uj8nQrzE Author(s) Johnson Oladele Fatokun Affiliation(s) Department of Mathematical Science and Information Technology, Federal University, Dutsin-Ma, Nigeria . 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 per...