ISSN:0041-1450    

DOI:10.1080/00411458008204628

出版商:Taylor & Francis Group    

年代:1980

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.

ISSN:0041-1450    

DOI:10.1080/00411458008204629

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

In the framework of the Paveri-Fontana model for dilute vehicular traffic in highways, the iteration method introduced in a previous paper to yield solutions local in time to the nonlinear integro-differential equation for the car distribution function is used here to construct global solutions and prove their uniqueness and continuity with respect to initial data.

ISSN:0041-1450    

DOI:10.1080/00411458008204630

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

The method of separation of variables and expansions in terms of Legendre polynomials is applied to the “third form” of the Boltzmann equation governing monoenergetic angular flux distribution in a heterogeneous slab with anisotropic scattering and in presence of sources. Finally, we get a system of integral equations and a related matrix analogue for angular and spatial moments of the flux distribution. In the case of finite multilayers and of plane lattices the formulation presented is a simple extension of the ones corresponding to isotropic and homogeneous cases. The multigroup treatment proceeds analogously starting from a system of coupled integral equations for the group angular fluxes. The matrix representation of the final integral system has matrix elements for which recurrence relations hold.

ISSN:0041-1450    

DOI:10.1080/00411458008204631

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

ISSN:0041-1450    

DOI:10.1080/00411458008204632

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor