Stability and convergence of the space fractional variable-order Schrödinger equation

被引：0

作者：

Abdon Atangana

Alain H Cloot

机构：

[1] University of the Free State,Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences

[2] University of the Free State,Department of Mathematics and Applied Mathematics

来源：

Advances in Difference Equations | / 2013卷

关键词：

Schrödinger equation; variable-order derivative; Crank-Nicholson scheme; convergence; stability;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

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