A STABLE SECOND ORDER OF ACCURACY DIFFERENCE SCHEME FOR A FRACTIONAL SCHRODINGER DIFFERENTIAL EQUATION

被引：0
|
作者：
Ashyralyev, A. [1 ,2 ,3 ]
Hicdurmaz, B. [4 ]
机构：
[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
来源：
APPLIED AND COMPUTATIONAL MATHEMATICS | 2018年 / 17卷 / 01期
关键词：
Stability; Fractional Schrodinger Equation; Difference Scheme; Numerical Results; QUANTUM-MECHANICS; TIME; EXISTENCE; ORDER;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：10 / 21
页数：12
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