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

Autor:	Johnson Oladele Fatokun
Rok vydání:	2014
Předmět:	Partial differential equation Differential equation Ordinary differential equation Mathematical analysis Method of lines First-order partial differential equation Order of accuracy General Medicine Exponential integrator Stiff equation Mathematics
Zdroj:	American Journal of Computational Mathematics. :271-279
ISSN:	2161-1211 2161-1203
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::543d127f8fe632d6203802d53d91fe64 https://doi.org/10.4236/ajcm.2014.44023 Zobrazit plný text záznamu