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An iteration method for a nonlinear initial value problem arising from the kinetic theory of vehicular traffic

 

作者: Roberto Semenzato,  

 

期刊: Transport Theory and Statistical Physics  （Taylor Available online 1980）
卷期: Volume 9, issue 2-3  

页码: 83-93

 

ISSN:0041-1450

 

年代: 1980

 

DOI:10.1080/00411458008204629

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

In the framework of the Paveri-Fontana model for dilute vehicular traffic in highways, an iteration method is provided which gives the car distribution function. This function, which satisfies a nonlinear initial-value boundary problem, is given as the limit of two sequences of solutions of linear equations with the same initial and boundary conditions.

 

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