The convergence of a differential-difference scheme of gas dynamic equations in Lagrangian mass variables

Author: Criado F.  

Publisher: Taylor & Francis Ltd

ISSN: 0020-7160

Source: International Journal of Computer Mathematics, Vol.82, Iss.7, 2005-07, pp. : 857-864

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

The convergence to a smooth solution of a completely conservative differential-difference scheme of gas dynamic equations in Lagrangian mass variables with sources (sinks) is investigated for the case of the ideal gas. It is proved that for the class of sufficiently smooth solutions of the differential problem the solution of the difference problem converges in the mesh norm L 2 and that the rate of convergence is O ( h 2 ).