A bound for the error in the numerical integration of a first order quasilinear equation

R. V. Razumeiko

M. V. Lomonosov Moscow State University

Abstract: We obtain a bound for the error in the numerical integration of the quasilinear equation $u_t+(\varphi(u))_x=0$ by a finite difference method in the case when $\varphi''(u)\ge0$

UDC: 517.9

Received: 12.04.1972

 English version: Mathematical Notes, 1973, 13:2, 124–129

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