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
