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

被引：0
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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;
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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.
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