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: | , , |
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| Format: | Journal |
| Published: |
2020
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| Subjects: | |
| 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 |
| Summary: | © 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. |
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