Efficiency of high-order accurate difference schemes for the korteweg-de vries equation

Efficiency of high-order accurate difference schemes for the korteweg-de vries equation

© 2014 Kanyuta Poochinapan et al. Two numerical models to obtain the solution of the KdV equation are proposed. Numerical tools, compact fourth-order and standard fourth-order finite difference techniques, are applied to the KdV equation. The fundamental conservative properties of the equation are p...

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Main Authors: Poochinapan,K., Wongsaijai,B., Disyadej,T.
Format: Article
Published: Hindawi Publishing Corporation 2015
Subjects:
Mathematics (all)
Engineering (all)
Online Access:http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84919771984&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38845
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-388452015-06-16T07:54:23Z Efficiency of high-order accurate difference schemes for the korteweg-de vries equation Poochinapan,K. Wongsaijai,B. Disyadej,T. Mathematics (all) Engineering (all) © 2014 Kanyuta Poochinapan et al. Two numerical models to obtain the solution of the KdV equation are proposed. Numerical tools, compact fourth-order and standard fourth-order finite difference techniques, are applied to the KdV equation. The fundamental conservative properties of the equation are preserved by the finite difference methods. Linear stability analysis of two methods is presented by the Von Neumann analysis. The new methods give second- and fourth-order accuracy in time and space, respectively. The numerical experiments show that the proposed methods improve the accuracy of the solution significantly. 2015-06-16T07:54:23Z 2015-06-16T07:54:23Z 2014-12-08 Article 1024123X 2-s2.0-84919771984 10.1155/2014/862403 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84919771984&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38845 Hindawi Publishing Corporation
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics (all)
Engineering (all)
spellingShingle Mathematics (all)
Engineering (all)
Poochinapan,K.
Wongsaijai,B.
Disyadej,T.
Efficiency of high-order accurate difference schemes for the korteweg-de vries equation
description © 2014 Kanyuta Poochinapan et al. Two numerical models to obtain the solution of the KdV equation are proposed. Numerical tools, compact fourth-order and standard fourth-order finite difference techniques, are applied to the KdV equation. The fundamental conservative properties of the equation are preserved by the finite difference methods. Linear stability analysis of two methods is presented by the Von Neumann analysis. The new methods give second- and fourth-order accuracy in time and space, respectively. The numerical experiments show that the proposed methods improve the accuracy of the solution significantly.
format Article
author Poochinapan,K.
Wongsaijai,B.
Disyadej,T.
author_facet Poochinapan,K.
Wongsaijai,B.
Disyadej,T.
author_sort Poochinapan,K.
title Efficiency of high-order accurate difference schemes for the korteweg-de vries equation
title_short Efficiency of high-order accurate difference schemes for the korteweg-de vries equation
title_full Efficiency of high-order accurate difference schemes for the korteweg-de vries equation
title_fullStr Efficiency of high-order accurate difference schemes for the korteweg-de vries equation
title_full_unstemmed Efficiency of high-order accurate difference schemes for the korteweg-de vries equation
title_sort efficiency of high-order accurate difference schemes for the korteweg-de vries equation
publisher Hindawi Publishing Corporation
publishDate 2015
url http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84919771984&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38845
_version_ 1681421547324047360

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