Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation

被引：132
|
作者：
Yokus, Asif [1 ]
Gulbahar, Sema [2 ]
机构：
[1] Firat Univ, Dept Actuary, TR-2300 Elazig, Turkey
[2] Harran Univ, Dept Math, Sanliurfa, Turkey
来源：
APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2019年 / 4卷 / 01期
关键词：
Harry Dym equation; finite difference method; von Neumann stability analysis;
D O I：
10.2478/AMNS.2019.1.00004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, numerical solutions of the fractional Harry Dym equation are investigated. Linearization techniques are utilized for non-linear terms existing in the fractional Harry Dym equation. The error norms L-2 and L-infinity are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.
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页码：35 / 42
页数：8
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