The Sinc-collocation and Sinc-Galerkin methods for solving the two-dimensional Schr?dinger equation with nonhomogeneous boundary conditions

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• 作者：Mehdi Dehghan ; Faezeh Emami-Naeini
• 关键词：Sinc numerical methods ; Sinc-collocation method ; Sinc-Galerkin method ; Schrö ; dinger equation ; Nonhomogeneous boundary conditions
• 刊名：Applied Mathematical Modelling
• 出版年：2013
• 出版时间：15 November, 2013
• 年：2013
• 卷：37
• 期：22
• 页码：9379-9397
• 全文大小：1744 K

文摘

In the last three decades, Sinc numerical methods have been extensively used for solving differential equations, not only because of their exponential convergence rate, but also due to their desirable behavior toward problems with singularities. This paper illustrates the application of Sinc-collocation and Sinc-Galerkin methods to the approximate solution of the two-dimensional time dependent Schr?dinger equation with nonhomogeneous boundary conditions. Some numerical examples are presented and the proposed methods are compared with each other.