A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation
In the present work, a mathematical model to obtain the solution of the nonlinear wave by coupling the Rosenau-KdV equation and the Rosenau-RLW equation is proposed. The solution properties are also derived. A numerical tool is applied to the model by using a three-level average implicit finite diff...
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th-cmuir.6653943832-376372014-12-09T05:56:27Z A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation Wongsaijai B. Poochinapan K. In the present work, a mathematical model to obtain the solution of the nonlinear wave by coupling the Rosenau-KdV equation and the Rosenau-RLW equation is proposed. The solution properties are also derived. A numerical tool is applied to the model by using a three-level average implicit finite difference technique. The fundamental conservative properties of the equation are preserved by the presented numerical scheme, and the existence and uniqueness of the numerical solution are proved. Moreover, the convergence and stability of the numerical solution are also shown. The new method give second-order accurate in time and space. Thus, the presented results can be constructed to demonstrate the viability of the new model. © 2014 Elsevier Inc. All rights reserved. 2014-12-09T05:56:27Z 2014-12-09T05:56:27Z 2014 Article 00963003 10.1016/j.amc.2014.07.075 AMHCB http://www.scopus.com/inward/record.url?eid=2-s2.0-84906351033&partnerID=40&md5=4780421a5702b48c565f858fbb02368d http://cmuir.cmu.ac.th/handle/6653943832/37637 English Elsevier Inc. |
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In the present work, a mathematical model to obtain the solution of the nonlinear wave by coupling the Rosenau-KdV equation and the Rosenau-RLW equation is proposed. The solution properties are also derived. A numerical tool is applied to the model by using a three-level average implicit finite difference technique. The fundamental conservative properties of the equation are preserved by the presented numerical scheme, and the existence and uniqueness of the numerical solution are proved. Moreover, the convergence and stability of the numerical solution are also shown. The new method give second-order accurate in time and space. Thus, the presented results can be constructed to demonstrate the viability of the new model. © 2014 Elsevier Inc. All rights reserved. |
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Wongsaijai B. Poochinapan K. |
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Wongsaijai B. Poochinapan K. A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation |
author_facet |
Wongsaijai B. Poochinapan K. |
author_sort |
Wongsaijai B. |
title |
A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation |
title_short |
A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation |
title_full |
A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation |
title_fullStr |
A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation |
title_full_unstemmed |
A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation |
title_sort |
three-level average implicit finite difference scheme to solve equation obtained by coupling the rosenau-kdv equation and the rosenau-rlw equation |
publisher |
Elsevier Inc. |
publishDate |
2014 |
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http://www.scopus.com/inward/record.url?eid=2-s2.0-84906351033&partnerID=40&md5=4780421a5702b48c565f858fbb02368d http://cmuir.cmu.ac.th/handle/6653943832/37637 |
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