文章基本信息

标题：Stability and convergence of the space fractional variable-order Schrödinger equation
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作者：Abdon Atangana ; Alain H Cloot
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：80
DOI：10.1186/1687-1847-2013-80
语种：English
出版社：Hindawi Publishing Corporation
摘要：The space fractional Schrödinger equation was further extended to the concept of space fractional variable-order derivative. The generalized equation is very difficult to handle analytically. We solved the generalized equation numerically via the Crank-Nicholson scheme. The stability and the convergence of the space fractional variable-order Schrödinger equation were presented in detail.
关键词：Schrödinger equation ; variable-order derivative ; Crank-Nicholson scheme ; convergence ; stability