On the numerical solutions of high order stable difference schemes for the hyperbolic multipoint nonlocal boundary value problems

被引：12

作者：

Yildirim, Ozgur ^{[1
]}

Uzun, Meltem ^{[1
]}

机构：

[1] Yildiz Tech Univ, Dept Math, Istanbul, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 254卷

关键词：

Abstract hyperbolic equations; Stability; Difference equations; Nonlocal and multipoint BVPs; EQUATIONS;

D O I：

10.1016/j.amc.2014.12.117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider third and fourth order of accuracy stable difference schemes for the approximate solutions of hyperbolic multipoint nonlocal boundary value problem in a Hilbert space H with self-adjoint positive definite operator A. We present stability estimates and numerical analysis for the solutions of the difference schemes using finite difference method. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：210 / 218

页数：9

共 50 条

[1] ON MULTIPOINT NONLOCAL BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC DIFFERENTIAL AND DIFFERENCE EQUATIONS
Ashyralyev, Allaberen
Yildirim, Ozgur
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (01): : 165 - 194
[2] A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem
Ashyralyev, Allaberen
Yildirim, Ozgur
ABSTRACT AND APPLIED ANALYSIS, 2012,
[3] A note on the difference schemes of the nonlocal boundary value problems for hyperbolic equations
Ashyralyev, A
Aggez, N
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2004, 25 (5-6) : 439 - 462
[4] High Order of Accuracy Stable Difference Schemes for Numerical Solutions of NBVP for Hyperbolic Equations
Ashyralyev, Allaberen
Yildirim, Ozgur
FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012), 2012, 1470 : 84 - 87
[5] On Fourth-Order Stable Difference Scheme for Hyperbolic Multipoint NBVP
Yildirim, Ozgur
Uzun, Meltem
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (10) : 1305 - 1324
[6] A NOTE ON DIFFERENCE SCHEMES OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC-PARABOLIC EQUATIONS
Ashyralyev, Allaberen
Ozdemir, Yildirim
ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE, 2010, 1309 : 725 - +
[7] On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes
Ashyralyev, Allaberen
Yildirim, Ozgur
BOUNDARY VALUE PROBLEMS, 2013,
[8] High order of accuracy stable difference schemes for the approximate solution of the multipoint NBVP for the hyperbolic equation
Yildirim, Ozgur
Uzun, Meltem
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014), 2014, 1611 : 305 - 309
[9] Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems: Numerical Boundary Layers
Boutin, Benjamin
Coulombel, Jean-Francois
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 10 (03) : 489 - 519
[10] A High Order of Accuracy of Difference Schemes for the Nonlocal Boundary Value Schrodinger Problem
Ashyralyev, Allaberen
Sirma, Ali
FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020), 2021, 2334

← 1 2 3 4 5 →