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

页码：10 / 21

页数：12

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