On the Numerical Analysis of a Nonlinear Fractional Schrodinger Equation with Neumann Boundary Condition

被引：0

作者：

Hicdurmaz, Betul ^{[1
]}

机构：

[1] Istanbul Medeniyet Univ, Fac Engn & Nat Sci, Dept Math, TR-34700 Istanbul, Turkey

来源：

THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019) | 2019年 / 2183卷

关键词：

Fractional derivative; Convergence; Neumann boundary condition;

D O I：

10.1063/1.5136184

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, a nonlinear fractional Schrodinger equation is investigated with a numerical approach. First and second orders of accuracy difference schemes are constructed for a mixed problem for a nonlinear fractional Schrodinger equation with Neumann boundary condition. Results of numerical experiments support the convergence of solutions of constructed first and second order of accuracy difference schemes to exact solution of the problem.

引用

页数：4

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