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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th-cmuir.6653943832-452822018-01-24T06:07:48Z A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation Jiraporn Janwised Ben Wongsaijai Thanasak Mouktonglang Kanyuta Poochinapan 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. 2018-01-24T06:07:48Z 2018-01-24T06:07:48Z 2014-01-01 Journal 16879139 16879120 2-s2.0-84900036543 10.1155/2014/734067 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84900036543&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45282 |
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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 |
Journal |
| author |
Jiraporn Janwised Ben Wongsaijai Thanasak Mouktonglang Kanyuta Poochinapan |
| spellingShingle |
Jiraporn Janwised Ben Wongsaijai Thanasak Mouktonglang Kanyuta Poochinapan A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation |
| author_facet |
Jiraporn Janwised Ben Wongsaijai Thanasak Mouktonglang Kanyuta Poochinapan |
| author_sort |
Jiraporn Janwised |
| 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 |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84900036543&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45282 |
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