Finite Difference Method for Hyperbolic Equations with the Nonlocal Integral Condition-Reference-Cited by-同舟云学术

Finite Difference Method for Hyperbolic Equations with the Nonlocal Integral Condition

Published:2011 Issue: Volume:2011 Page:1-15
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Ashyralyev Allaberen¹²,Aggez Necmettin¹

Affiliation:

1. Department of Mathematics, Fatih University, Istanbul 34500, Turkey

2. Department of Mathematics, ITTU, Ashgabat 74400, Turkmenistan

Abstract

The stable difference schemes for the approximate solution of the nonlocal boundary value problem for multidimensional hyperbolic equations with dependent in space variable coefficients are presented. Stability of these difference schemes and of the first- and second-order difference derivatives is obtained. The theoretical statements for the solution of these difference schemes for one-dimensional hyperbolic equations are supported by numerical examples.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2011/562385.pdf

Reference29 articles.

1. Finite-difference methods for solution of nonlocal boundary value problems

2. Time-Nonlocal Problems for Schrodinger Type Equations: I. Problems in Abstract Spaces

3. Maximal regular boundary value problems in Banach-valued weighted space

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