Abstract
In this paper, we present the Lax-Wendroff theorem of entropy dissipation method for scalar conservationlaws in one space dimension. Suppose that ul(x, t) the numerical solution computed by the entropy dissipationmethod converges to a function u(x, t) as l ? ?,then u(x, t) is a weak solution that satisfying the entropycondition of the conservation law.
Highlights
In this paper we continue to consider entropy dissipating method developed in(Li, Hong-xia, 2004), (Secondorder entropy dissipation scheme for scalar conservation laws in one space dimension, Master’s thesis, No.1190399118086)for scalar conservation laws in one space dimension ut + f (u)x = 0 u(x, 0) = u0(x) (1)In this paper, we propose and prove a Lax-Wendroff theorem of entropy dissipation method for scalar conservation laws in one space dimension.2
We propose and prove a Lax-Wendroff theorem of entropy dissipation method for scalar conservation laws in one space dimension
We give the basic definitions of the theorem
Summary
We propose and prove a Lax-Wendroff theorem of entropy dissipation method for scalar conservation laws in one space dimension
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