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Stable difference schemes for the fractional Schro¨dinger differential equation.

Authors :
Hicdurmaz, Betul
Source :
AIP Conference Proceedings. Sep2012, Vol. 1479 Issue 1, p574-577. 4p. 1 Chart.
Publication Year :
2012

Abstract

In the present paper, r-modified Crank Nicholson difference schemes are presented for a fractional Schro¨dinger differential equation. The stability theorem for r-modified Crank Nicholson difference schemes is established. Theoretical results are supported by a numerical experiment. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*DIFFERENCE equations
*STABILITY theory
*FRACTIONAL calculus
*SCHRODINGER equation
*DIFFERENTIAL equations
*CRANK-nicolson method

Details

Language :
English
ISSN :
0094243X
Volume :
1479
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
80711472
Full Text :
https://doi.org/10.1063/1.4756197
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