Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 72, Issue 6, Pages 1703-1713Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2016.07.036
Keywords
Time fractional Schrodinger equation; Finite difference scheme; Stability; Two-dimensional Schrodinger equation
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In this paper, the stability analysis is presented for a first order difference scheme applied to a nonhomogeneous time fractional Schrodinger differential equation. Based on the z-transform method, stability theorems are proved for the abstract case. The stability results are applied on initial boundary value problems for multidimensional time fractional Schrodinger differential equations. Theoretical findings are validated by numerical experiments on one and two-dimensional time fractional Schrodinger differential equations. (C) 2016 Elsevier Ltd. All rights reserved.
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