On the Numerical Solution of Hyperbolic PDEs with Variable Space Operator

被引：15
作者：
Ashyralyev, Allaberen [1 ]
Koksal, Mehmet Emir [1 ,2 ,3 ]
机构：
[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey
[2] Gebze Inst Technol, Dept Math, TR-41400 Gebze, Kocaeli, Turkey
[3] Halic Univ, Dept Comp Engn, TR-34394 Istanbul, Turkey
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 25卷 / 05期
关键词：
difference schemes; hyperbolic equation; matlab implementation; numerical solution; stability estimates; BOUNDARY-VALUE-PROBLEMS; DIFFERENCE-SCHEMES; INTEGRAL CONDITION; HIGH-ORDER; EQUATIONS;
D O I：
10.1002/num.20388
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The first and second order of accuracy in time and second order of accuracy in the space variables difference schemes for the numerical solution of the initial-boundary value problem for the multidimensional hyperbolic equation with dependent coefficients are considered. Stability estimates for the solution of these difference schemes and for the first and second order difference derivatives are obtained. Numerical methods are proposed for solving the one-dimensional hyperbolic partial differential equation. (C) 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 1086-1099, 2009
引用
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页码：1086 / 1099
页数：14
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