The Element-Free Galerkin Method for Two-dimensional Schrödinger Equation

In this paper, a meshless global element free Galerkin (EFG) method is given to obtain the numerical solutions of the two-dimensional time-dependent non-linear Schrödinger equation. The moving least-square (MLS) approximation scheme is employed to construct the shape functions. A time stepping metho...

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Bibliographic Details
Main Authors: Cai, Xinghui, Sun, XinLi, Li, Zhn, Ji, Guoxun, Lu, Jiangren
Format: Conference Proceeding
Language:English
Subjects:
Meshless global element free Galerkin method
Moving least square approximation
Schrödinger equation
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Summary:In this paper, a meshless global element free Galerkin (EFG) method is given to obtain the numerical solutions of the two-dimensional time-dependent non-linear Schrödinger equation. The moving least-square (MLS) approximation scheme is employed to construct the shape functions. A time stepping method is applied to deal with the time derivative. The numerical results show that the EFG method may compute this kind of problems with good accuracy.
ISSN:1877-7058
1877-7058
DOI:10.1016/j.proeng.2012.01.1150