Numerical simulation of initial and initial-boundary value problems for traffic flow in a class of discontinuous functions

Küçük Resim Yok

Tarih

2006

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, a new method for obtaining a numerical solution of the Cauchy and initial- boundary problems for a first order nonlinear partial differential equation which describes the traffic flow on highway is suggested. For this purpose, the first and second type auxiliary problems having some advantages over the main problem, but equivalent to it, are introduced and some properties of the numerical solution are studied. Some computer experiments have been carried out.

Açıklama

Anahtar Kelimeler

Finite differences scheme in a class of discontinuous functions, Numerical extended solution, Traffic flow

Kaynak

WSEAS Transactions on Mathematics

WoS Q Değeri

Scopus Q Değeri

Q4

Cilt

5

Sayı

12

Künye