Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow
We discuss the line partial differential equations arising in fractal vehicular traffic flow. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/649318 |
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| _version_ | 1832555068674539520 |
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| author | Yang Li Long-Fei Wang Sheng-Da Zeng Yang Zhao |
| author_facet | Yang Li Long-Fei Wang Sheng-Da Zeng Yang Zhao |
| author_sort | Yang Li |
| collection | DOAJ |
| description | We discuss the line partial differential equations arising in fractal vehicular traffic flow. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. The obtained results show the efficiency and accuracy of implements of the present method. |
| format | Article |
| id | doaj-art-ba6868b2dcaf45ef8fc289cf173ed574 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ba6868b2dcaf45ef8fc289cf173ed5742025-02-03T05:49:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/649318649318Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic FlowYang Li0Long-Fei Wang1Sheng-Da Zeng2Yang Zhao3School of Highway, Chang’an University, Xi’an 710064, ChinaSchool of Highway, Chang’an University, Xi’an 710064, ChinaSchool of Science, Guangxi University for Nationalities, Nanning 530006, ChinaCollege of Instrumentation & Electrical Engineering, Jilin University, Changchun 130061, ChinaWe discuss the line partial differential equations arising in fractal vehicular traffic flow. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. The obtained results show the efficiency and accuracy of implements of the present method.http://dx.doi.org/10.1155/2014/649318 |
| spellingShingle | Yang Li Long-Fei Wang Sheng-Da Zeng Yang Zhao Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow Advances in Mathematical Physics |
| title | Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow |
| title_full | Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow |
| title_fullStr | Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow |
| title_full_unstemmed | Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow |
| title_short | Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow |
| title_sort | local fractional laplace variational iteration method for fractal vehicular traffic flow |
| url | http://dx.doi.org/10.1155/2014/649318 |
| work_keys_str_mv | AT yangli localfractionallaplacevariationaliterationmethodforfractalvehiculartrafficflow AT longfeiwang localfractionallaplacevariationaliterationmethodforfractalvehiculartrafficflow AT shengdazeng localfractionallaplacevariationaliterationmethodforfractalvehiculartrafficflow AT yangzhao localfractionallaplacevariationaliterationmethodforfractalvehiculartrafficflow |