Lax's difference scheme for a system of two equations in the quarter plane

Joseph, K. T. ; Gowda, G. D. Veerappa (2011) Lax's difference scheme for a system of two equations in the quarter plane Advances in Pure and Applied Mathematics, 2 (2). pp. 167-181. ISSN 1867-1152

Full text not available from this repository.

Official URL: http://doi.org/10.1515/apam.2010.033

Related URL: http://dx.doi.org/10.1515/apam.2010.033

Abstract

We extend a difference scheme introduced by Peter Lax for a scalar equation to a system of two conservation laws in the quarter plane {(x, t) : x > 0, t > 0} with initial conditions at t = 0 and conditions on the mass. We use Lax's transformation to linearize the problem and get an explicit formula for the solution. The limit generally belongs to the class of measures.

Item Type:Article
Source:Copyright of this article belongs to Walter de Gruyter GmbH & Co. KG.
ID Code:119770
Deposited On:17 Jun 2021 05:11
Last Modified:17 Jun 2021 05:11

Repository Staff Only: item control page