On the Numerical Solution of Fractional Hyperbolic Partial Differential Equations

被引：19
|
作者：
Ashyralyev, Allaberen [2 ,3 ]
Dal, Fadime [1 ]
Pinar, Zehra [1 ]
机构：
[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey
[2] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey
[3] ITTU, Dept Math, Ashkhabad 744012, Turkmenistan
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2009年 / 2009卷
关键词：
BOUNDARY-VALUE-PROBLEMS; SCHEMES; DERIVATIVES; STABILITY;
D O I：
10.1155/2009/730465
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The stable difference scheme for the numerical solution of the mixed problem for the multidimensional fractional hyperbolic equation is presented. Stability estimates for the solution of this difference scheme and for the first and second orders difference derivatives are obtained. A procedure of modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional fractional hyperbolic partial differential equations. Copyright (C) 2009 Allaberen Ashyralyev et al.
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页数：11
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