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

Joseph, K. T. ; Veerappa Gowda, G. D. (2010) 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

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Official URL: http://www.degruyter.com/view/j/apam.2011.2.issue-...

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.
Keywords:Difference Scheme with Boundary; Solutions with Given Mass
ID Code:83207
Deposited On:16 Feb 2012 12:15
Last Modified:16 Feb 2012 12:15

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