Finding the location of the shock wave of traffic flow on highways in a class of discontinuous functions
Küçük Resim Yok
Tarih
2006
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a method for obtaining an exact solution and the location of the jump in the solution of the Cauchy problem for a first order partial differential equation which describes the traffic flow on highways is suggested. At first, a special auxiliary problem having some advantages over the main problem has been proposed and using the advantages of the auxiliary problem an original method for obtaining the weak solution of the main problem has been proposed. In order to show the effectiveness of the suggested method, on the basis of the real data some numerical experiments have been carried out.
Açıklama
Anahtar Kelimeler
Auxiliary problem, Differences scheme in a class of discontinuous functions, Extended solution, Traffic flow
Kaynak
WSEAS Transactions on Mathematics
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
5
Sayı
12
