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: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2014
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| 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 |
| Summary: | 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. |
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