Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9662285 | Computers & Mathematics with Applications | 2005 | 18 Pages |
Abstract
A finite-difference scheme is proposed for the one-dimensional time-dependent Schrödinger equation. We introduce an artificial boundary condition to reduce the original problem into an initial-boundary value problem in a finite-computational domain, and then construct a finite-difference scheme by the method of reduction of order to solve this reduced problem. This scheme has been proved to be uniquely solvable, unconditionally stable, and convergent. Some numerical examples are given to show the effectiveness of the scheme.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Houde Han, Jicheng Jin, Xiaonan Wu,