The improved complex variable element-free Galerkin method for two-dimensional Schrödinger equation

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)1093-1106
Journal / PublicationComputers and Mathematics with Applications
Issue number10
Online published15 Sep 2014
Publication statusPublished - Nov 2014


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.

Research Area(s)

  • Galerkin method, Galerkin's procedure, Improved complex variable element-free, Unsteady Schrödinger equation