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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