| 非线性交通模型的同伦分析解 |
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| 引用本文： | 褚晨超,祝吕燕,谢君,陈依妮,何强,韩祥临. 非线性交通模型的同伦分析解[J]. 湖州师专学报, 2014, 0(4): 13-18 |
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| 作者姓名： | 褚晨超 祝吕燕 谢君 陈依妮 何强 韩祥临 |
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| 作者单位： | 湖州师范学院理学院,浙江湖州313000 |
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| 基金项目： | 浙江省自然科学基金（LY13A010005）;2013年浙江省大学生科技创新活动计划暨新苗人才计划项目（2013R425017） |
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| 摘 要： | 应用同伦分析法（HAM）研究在劳伦兹系统基础上构建的非线性交通模型.通过选取适当的初始解和线性算子,得到方程的近似解.与已有结果的比较发现,在研究这类非线性问题时,同伦分析法优于微分变换法,并通过数值模拟验证了结果的正确性.
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| 关 键 词： | 同伦分析法 非线性问题 近似解 微分变换法 数值模拟 |
The Homotopy Analytic Solutions for a Nonlinear Traffic Flow Model |
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| CHU Chenchao,ZHU Lvyan,XIE Jun,CHEN Yini,HE Qiang,HAN Xianglin. The Homotopy Analytic Solutions for a Nonlinear Traffic Flow Model[J]. , 2014, 0(4): 13-18 |
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| Authors: | CHU Chenchao ZHU Lvyan XIE Jun CHEN Yini HE Qiang HAN Xianglin |
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| Affiliation: | (School of Science, Huzhou University, Huzhou 313000, China) |
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| Abstract: | The nonlinear traffic flow model,which is based on the Lorentz system,is discussed by using the homotopy analysis method（HAM）.By choosing deferent initial approximation solutions and deferent linear operators,we obtain the approximation solution of the nonlinear model.By comparing the present results with the previous related studies,we conclude that the HAM is superior to the differential transform method.The correctness of the theoretical analysis is confirmed by numerical simulation. |
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| Keywords: | the homotopy analysis method nonlinear problem approximation solution differential transform method numerical simulation |
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