Recent developments on operator-difference schemes for solving nonlocal BVPs for the wave equation
type: Item
instance of: scholarly article
title: Recent developments on operator-difference schemes for solving nonlocal BVPs for the wave equation
zbMATH Open document ID: 1237.65094
DOI: 10.1155/2011/210261
author: Mehmet Emir Koksal
published in: Discrete Dynamics in Nature and Society
publication date: 2012-03-13T00:00:00Z
review text: Summary: The second-order one-dimensional linear hyperbolic equation with time and space variable coefficients and nonlocal boundary conditions is solved by using stable operator-difference schemes. Two new second-order difference schemes recently appeared in the literature are compared numerically with each other and with the rather old first-order difference scheme all to solve an abstract Cauchy problem for hyperbolic partial differential equations with time-dependent unbounded operator coefficient. These schemes are shown to be absolutely stable, and the numerical results are presented to compare the accuracy and the execution times. It is naturally seen that the second-order difference schemes are much more advantages than the first-order ones. Although one of the second-order difference scheme is less preferable than the other one according to CPU (central processing unit) time consideration, it has superiority when the accuracy weighs more importance.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 6014495
zbMATH Keywords: linear hyperbolic equation
zbMATH Keywords: nonlocal boundary conditions
zbMATH Keywords: operator-difference schemes
zbMATH Keywords: abstract Cauchy problem
zbMATH Keywords: numerical results
Wikidata QID: Q58655435
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/210261
OpenAlex ID: W2000883332
cites work: Q3712601
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description: scientific article; zbMATH DE number 6014495