A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation

A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation

We introduce a new technique, a three-level average linear-implicit finite difference method, for solving the Rosenau-Burgers equation. A second-order accuracy on both space and time numerical solution of the Rosenau-Burgers equation is obtained using a five-point stencil. We prove the existence and...

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Main Authors: Janwised J., Wongsaijai B., Mouktonglang T., Poochinapan K.
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-84900036543&partnerID=40&md5=125ca901fdb8f5862c83a68ab07a34b1
http://cmuir.cmu.ac.th/handle/6653943832/4851
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Institution: Chiang Mai University
Language: English
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spelling th-cmuir.6653943832-48512014-08-30T02:55:52Z A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation Janwised J. Wongsaijai B. Mouktonglang T. Poochinapan K. We introduce a new technique, a three-level average linear-implicit finite difference method, for solving the Rosenau-Burgers equation. A second-order accuracy on both space and time numerical solution of the Rosenau-Burgers equation is obtained using a five-point stencil. We prove the existence and uniqueness of the numerical solution. Moreover, the convergence and stability of the numerical solution are also shown. The numerical results show that our method improves the accuracy of the solution significantly. © 2014 Jiraporn Janwised et al. 2014-08-30T02:55:52Z 2014-08-30T02:55:52Z 2014 Article 16879139 10.1155/2014/734067 http://www.scopus.com/inward/record.url?eid=2-s2.0-84900036543&partnerID=40&md5=125ca901fdb8f5862c83a68ab07a34b1 http://cmuir.cmu.ac.th/handle/6653943832/4851 English Hindawi Publishing Corporation
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
description We introduce a new technique, a three-level average linear-implicit finite difference method, for solving the Rosenau-Burgers equation. A second-order accuracy on both space and time numerical solution of the Rosenau-Burgers equation is obtained using a five-point stencil. We prove the existence and uniqueness of the numerical solution. Moreover, the convergence and stability of the numerical solution are also shown. The numerical results show that our method improves the accuracy of the solution significantly. © 2014 Jiraporn Janwised et al.
format Article
author Janwised J.
Wongsaijai B.
Mouktonglang T.
Poochinapan K.
spellingShingle Janwised J.
Wongsaijai B.
Mouktonglang T.
Poochinapan K.
A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation
author_facet Janwised J.
Wongsaijai B.
Mouktonglang T.
Poochinapan K.
author_sort Janwised J.
title A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation
title_short A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation
title_full A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation
title_fullStr A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation
title_full_unstemmed A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation
title_sort modified three-level average linear-implicit finite difference method for the rosenau-burgers equation
publisher Hindawi Publishing Corporation
publishDate 2014
url http://www.scopus.com/inward/record.url?eid=2-s2.0-84900036543&partnerID=40&md5=125ca901fdb8f5862c83a68ab07a34b1
http://cmuir.cmu.ac.th/handle/6653943832/4851
_version_ 1681420314947354624

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