Fourth-order conservative algorithm for nonlinear wave propagation: The rosenau-KdV equation

Fourth-order conservative algorithm for nonlinear wave propagation: The rosenau-KdV equation

© 2019 by the Mathematical Association of Thailand. All rights reserved. In this paper, we introduce a conservative difference method for solving the Rosenau-KdV equation. The existence of the approximate solution from the difference scheme is shown. We also prove the stability and convergence of th...

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Main Authors: Rakbhoom Chousurin, Thanasak Mouktonglang, Phakdi Charoensawan
Format: Journal
Published: 2020
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85077596524&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67892
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Institution: Chiang Mai University
id th-cmuir.6653943832-67892
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spelling th-cmuir.6653943832-678922020-04-02T15:10:28Z Fourth-order conservative algorithm for nonlinear wave propagation: The rosenau-KdV equation Rakbhoom Chousurin Thanasak Mouktonglang Phakdi Charoensawan Mathematics © 2019 by the Mathematical Association of Thailand. All rights reserved. In this paper, we introduce a conservative difference method for solving the Rosenau-KdV equation. The existence of the approximate solution from the difference scheme is shown. We also prove the stability and convergence of this scheme. The presented method gives second-and fourth-order accurate in time and space, respectively. Numerical examples demonstrate the theoretical results. 2020-04-02T15:10:28Z 2020-04-02T15:10:28Z 2019-12-01 Journal 16860209 2-s2.0-85077596524 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85077596524&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67892
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Rakbhoom Chousurin
Thanasak Mouktonglang
Phakdi Charoensawan
Fourth-order conservative algorithm for nonlinear wave propagation: The rosenau-KdV equation
description © 2019 by the Mathematical Association of Thailand. All rights reserved. In this paper, we introduce a conservative difference method for solving the Rosenau-KdV equation. The existence of the approximate solution from the difference scheme is shown. We also prove the stability and convergence of this scheme. The presented method gives second-and fourth-order accurate in time and space, respectively. Numerical examples demonstrate the theoretical results.
format Journal
author Rakbhoom Chousurin
Thanasak Mouktonglang
Phakdi Charoensawan
author_facet Rakbhoom Chousurin
Thanasak Mouktonglang
Phakdi Charoensawan
author_sort Rakbhoom Chousurin
title Fourth-order conservative algorithm for nonlinear wave propagation: The rosenau-KdV equation
title_short Fourth-order conservative algorithm for nonlinear wave propagation: The rosenau-KdV equation
title_full Fourth-order conservative algorithm for nonlinear wave propagation: The rosenau-KdV equation
title_fullStr Fourth-order conservative algorithm for nonlinear wave propagation: The rosenau-KdV equation
title_full_unstemmed Fourth-order conservative algorithm for nonlinear wave propagation: The rosenau-KdV equation
title_sort fourth-order conservative algorithm for nonlinear wave propagation: the rosenau-kdv equation
publishDate 2020
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85077596524&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67892
_version_ 1681426719137857536

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