شماره ركورد كنفرانس :
5263
عنوان مقاله :
EFFICIENT SOLUTION OF TIME DEPENDENT SCHRODINGER EQUATION WITH ARTIFICAL BOUNDARY CONDITION
پديدآورندگان :
Moeini Mitra moeini@riau.ac.ir Department of Mathematics, Roudehen Branch, Islamic Azad University, Roudehen, Iran.
كليدواژه :
Schrodinger equation , Infinite domain , Exact artificial boundary condition
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
In this paper, we introduce an artificial boundary conditions for the numerical solution of the Schrodinger equation on an infinite domain. We get an initial-boundary value problem with a finite computational domain which is equivalent to the original problem. . Then we propose a polynomial basis set that is extendable to any desired higher-order accuracy. This method is based on the Constrained Interpolation Profile method. The numerical example shows the effectiveness of the scheme.
