Finite differences method for shallow water equations in a class of discontinuous functions
Küçük Resim Yok
Tarih
2005
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study a finite difference method for solving initial boundary value problem for the one-dimensional nonlinear system of differential equations describing shallow water flows in a class of discontinuous functions is suggested. In order to find the numerical solution of the problem, known as main problem, a special auxiliary problem is introduced. The degree of smoothness of the solution of the auxiliary problem is higher than the smoothness of the solution of the main problem. Moreover, the suggested auxiliary problem makes it possible to write out the effective and higher order numerical algorithms. Some results of numerical experiments are demonstrated. (C) 2003 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
shallow water equations, numerical modelling in a class of discontinuous functions, shock waves, nonlinear wave propagation
Kaynak
Applied Mathematics And Computation
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
160
Sayı
2
