Paper Info
Title
The improved complex variable element-free Galerkin method for two-dimensional Schrödinger equation.
Abstract
A numerical study of two-dimensional Schrödinger equation is carried out using the improved complex variable element-free Galerkin (ICVEFG) method. The ICVEFG method involves employment of the improved complex variable moving least-squares (ICVMLS) in the element-free Galerkin (EFG) procedure for numerical approximation. The ICVMLS is used to construct trial functions for the two-dimensional Schrödinger equation in the form of one-dimensional basis function that effectively reduces the number of unknown coefficients. In this study, the applicability of the ICVEFG method is examined through a number of numerical example problems. Convergence studies are carried out for these example problems by varying the number of nodes to ascertain convergent results are achieved as the number of nodes increases. The stability and accuracy of the ICVEFG method are validated by comparing the computed results with the exact solutions.
Year
DOI
Venue
2014
10.1016/j.camwa.2014.07.024
Computers & Mathematics with Applications
Keywords
Field
DocType
Unsteady Schrödinger equation,Improved complex variable element-free Galerkin method,Galerkin’s procedure
Convergence (routing),Discontinuous Galerkin method,Mathematical optimization,Mathematical analysis,Schrödinger equation,Galerkin method,Basis function,Numerical approximation,Mathematics
Journal
Volume
Issue
ISSN
68
10
0898-1221
Citations 
PageRank 
References 
10
0.54
6
Authors
4
Name
Order
Citations
PageRank
L. W. Zhang1273.20
Y. J. Deng2100.54
K. M. Liew321419.27
Yu-Min Cheng4302.64