Numerical solution to the unsteady two-dimensional Schrodinger equation using meshless local boundary integral equation method

被引：80

作者：

Dehghan, Mehdi ^{[1
]}

Mirzaei, Davoud ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran 15914, Iran

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2008年 / 76卷 / 04期

关键词：

Schrodinger equation; meshless local boundary integral equation (LBIE); companion solution; moving least-squares (MLS) approximation;

D O I：

10.1002/nme.2338

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A meshless local boundary integral equation (LBIE) method is proposed to solve the unsteady two-dimensional Schrodinger equation. The method is based on the LBIE with moving least-squares (MLS) approximation. For the MLS approximation, nodal points spread over the analyzed domain are utilized to approximate the interior and boundary variables. A time-stepping method is employed to deal with the time derivative. An efficient method for dealing with singular domain interations that appear in the discretized equations is presented. Finally, numerical results are considered for some examples to demonstrate the accuracy, efficiency and high rate of convergence of this method. Copyright (D 2008 John Wiley & Sons, Ltd.

引用

页码：501 / 520

页数：20

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