The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect
A new continuum model with consideration of driver’s forecast effect is obtained to study the density wave problem and the stop-and-go phenomena. The stability condition of the new model is derived by using linear analysis. The triangular shock wave, one type of density wave, which is determined by...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/539459 |
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| _version_ | 1832566194231574528 |
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| author | Lei Yu Bingchang Zhou |
| author_facet | Lei Yu Bingchang Zhou |
| author_sort | Lei Yu |
| collection | DOAJ |
| description | A new continuum model with consideration of driver’s forecast effect is obtained to study the density wave problem and the stop-and-go phenomena. The stability condition of the new model is derived by using linear analysis. The triangular shock wave, one type of density wave, which is determined by Burgers equation in the stable region, is discussed in great detail with reductive perturbation method. The local cluster appears when we perform the numerical simulations for the new model. It also proves that the driver’s forecast effect has the positive effect of reducing the local cluster. |
| format | Article |
| id | doaj-art-379311c3a4c649b884ad8b914a6ed29f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-379311c3a4c649b884ad8b914a6ed29f2025-02-03T01:04:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/539459539459The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast EffectLei Yu0Bingchang Zhou1College of Automation, Northwestern Polytechnical University, Xi’an, Shaanxi 710129, ChinaSchool of Science, Northwestern Polytechnical University, Xi’an, Shaanxi 710129, ChinaA new continuum model with consideration of driver’s forecast effect is obtained to study the density wave problem and the stop-and-go phenomena. The stability condition of the new model is derived by using linear analysis. The triangular shock wave, one type of density wave, which is determined by Burgers equation in the stable region, is discussed in great detail with reductive perturbation method. The local cluster appears when we perform the numerical simulations for the new model. It also proves that the driver’s forecast effect has the positive effect of reducing the local cluster.http://dx.doi.org/10.1155/2014/539459 |
| spellingShingle | Lei Yu Bingchang Zhou The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect Journal of Applied Mathematics |
| title | The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect |
| title_full | The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect |
| title_fullStr | The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect |
| title_full_unstemmed | The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect |
| title_short | The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect |
| title_sort | burgers equation for a new continuum model with consideration of driver s forecast effect |
| url | http://dx.doi.org/10.1155/2014/539459 |
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