Kardiologiia.
KlinMed Consulting.
Vol. 58.
2018.
P. 66-71
A STABLE SECOND ORDER OF ACCURACY DIFFERENCE SCHEME FOR A FRACTIONAL SCHRODINGER DIFFERENTIAL EQUATION
In the present paper, we present and analyze a second order of accuracy difference scheme for solving a fractional Schrodinger differential equation with the fractional derivative in the Riemann Louville sense. A stability analysis is performed on the presented difference scheme. Numerical results confirm the expected convergence rates and illustrate the effectiveness of the method.
Authors
Ashyralyev A.
1,
2,
3
,
Hicdurmaz B.4
Publisher
MINISTRY COMMUNICATIONS & HIGH TECHNOLOGIES REPUBLIC AZERBAIJAN
Number of issue
1
Language
English
Pages
10-21
Status
Published
Volume
17
Year
2018
Organizations
- 1 Near East Univ, Dept Math, Mersin 10, Nicosia, Turkey
- 2 Peoples Friendship Univ Russia, Ul Miklukho Maklaya 6, Moscow 117198, Russia
- 3 Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
- 4 Istanbul Medeniyet Univ, Fac Engn & Nat Sci, Dept Math, TR-34700 Istanbul, Turkey
Keywords
Stability; Fractional Schrodinger Equation; Difference Scheme; Numerical Results
Date of creation
19.10.2018
Date of change
19.10.2018
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RIESZ TRANSFORMS ASSOCIATED WITH SCHRODINGER OPERATOR ON VANISHING GENERALIZED MORREY SPACES
Article
APPLIED AND COMPUTATIONAL MATHEMATICS.
MINISTRY COMMUNICATIONS & HIGH TECHNOLOGIES REPUBLIC AZERBAIJAN.
Vol. 17.
2018.
P. 56-71