On the Solution of NBVP for Multidimensional Hyperbolic Equations

被引：3
作者：
Ashyralyev, Allaberen [1 ]
Aggez, Necmettin [1 ]
机构：
[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey
来源：
SCIENTIFIC WORLD JOURNAL | 2014年
关键词：
BOUNDARY-VALUE-PROBLEMS; DIFFERENCE-SCHEMES; INTEGRAL CONDITION; SOLVABILITY; STABILITY;
D O I：
10.1155/2014/841602
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We are interested in studying multidimensional hyperbolic equations with nonlocal integral and Neumann or nonclassical conditions. For the approximate solution of this problem first and second order of accuracy difference schemes are presented. Stability estimates for the solution of these difference schemes are established. Some numerical examples illustrating applicability of these methods to hyperbolic problems are given.
引用
收藏
页数：22
相关论文
共 24 条
[1]   A note on the stability of the integral-differential equation of the hyperbolic type in a Hilbert space [J].
Ashyraliyev, Maksat .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (7-8) :750-769
[2]   A note on the difference schemes of the nonlocal boundary value problems for hyperbolic equations [J].
Ashyralyev, A ;
Aggez, N .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2004, 25 (5-6) :439-462
[3]  
Ashyralyev A., 2001, Abstr. Appl. Anal., V6, P63, DOI [10.1155/S1085337501000501, DOI 10.1155/S1085337501000501]
[4]  
Ashyralyev A, 2004, NEW DIFFERENCE SCHEM, V148
[5]   Finite Difference Method for Hyperbolic Equations with the Nonlocal Integral Condition [J].
Ashyralyev, Allaberen ;
Aggez, Necmettin .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
[6]   Nonlocal Boundary Value Problems for Elliptic-Parabolic Differential and Difference Equations [J].
Ashyralyev, Allaberen ;
Gercek, Okan .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2008, 2008
[7]   ON MULTIPOINT NONLOCAL BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC DIFFERENTIAL AND DIFFERENCE EQUATIONS [J].
Ashyralyev, Allaberen ;
Yildirim, Ozgur .
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (01) :165-194
[8]  
Berdyshev AS., 2006, Centr. Eur. J. Math, V4, P183, DOI [10.2478/s11533-006-0007-8, DOI 10.2478/S11533-006-0007-8]
[9]   On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation [J].
Dehghan, M .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2005, 21 (01) :24-40
[10]   Time-nonlocal problems for Schrodinger type equations: I. Problems in abstract spaces [J].
Gordeziani, DG ;
Avalishvili, GA .
DIFFERENTIAL EQUATIONS, 2005, 41 (05) :703-711
123