Finite difference method for solving boundary initial value problem of a system hyperbolic equations in a class of discontinuous functions

Küçük Resim Yok

Tarih

2004

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Science Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, a finite-difference method for solving boundary initial value problem of nonlinear system equations of hyperbolic type in a class of discontinuous functions is suggested. In order to obtain the numerical solution of the Main problem in a class of discontinuous functions the auxiliary problem is introduced. The degree of smoothness of the solution of the auxiliary problem is higher than of smoothness of the solution of the main problem. Furthermore, the suggested auxiliary problem lets us write out effective and-higher order numerical algorithms. The solutions obtained from these algorithms represent the physical nature of the problem with a high accuracy. Some numerical experiments are carried out by using the auxiliary problem. (C) 2003 Elsevier Inc. All rights reserved.

Açıklama

Anahtar Kelimeler

computational hydrodynamics, numerical modelling, shock waves

Kaynak

Applied Mathematics And Computation

WoS Q Değeri

Q3

Scopus Q Değeri

Q1

Cilt

149

Sayı

1

Künye