A case study with the new theory of shock dynamics

Sundar, Subbiah ; Prasad, Phoolan ; Ravindran, Renuka (1992) A case study with the new theory of shock dynamics Applied Mathematics Letters, 5 (5). pp. 89-92. ISSN 0893-9659

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/089396...

Related URL: http://dx.doi.org/10.1016/0893-9659(92)90073-I

Abstract

A new theory of shock dynamics (NTSD) with analytic considerations and a numerical solution has already been discussed in Part I and Part II. This paper deals with the numerical simulation of the system of ordinary differential equations of the new theory of shock dynamics for the equation ut + (u2/2)x = 0 when ux(x, 0) = φ′ (x) < 0 in the region behind the shock.

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