Exact Solutions of the Cauchy Problem for 2-D Scalar Conservation Laws
Yükleniyor...
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Beykent Üniversitesi
Erişim Hakkı
Özet
In this study a new method for finding exact solution of the Cauchy problem subject to a discontinuous initial profile for the two dimensional scalar conservation laws is suggested. For this aim, first, some properties of the weak solution of the linearized equation are investigated. Taking these properties into consideration an auxiliary problem having some advantages over the main problem is introduced. The proposed auxiliary problems also permit us to develop effective different numerical algorithms for finding the solutions. Some computer experiments are carried out.
Açıklama
Anahtar Kelimeler
Scalar conservation laws, auxiliary problem, exact and numerical solution in a class of discontinuous functions
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
BEYKENT UNIVERSITY JOURNAL OF SCIENCE AND ENGINEERING Volume 5(1-2), 2012, 27-47
