The Lax-Wendroff Theorem of Entropy Dissipation Method for Scalar Conservation Laws in One Space Dimension

Hongxia Li

Abstract


In this paper, we present the Lax-Wendroff theorem of entropy dissipation method for scalar conservation
laws in one space dimension. Suppose that ul(x, t) the numerical solution computed by the entropy dissipation
method converges to a function u(x, t) as l ? ?,then u(x, t) is a weak solution that satisfying the entropy
condition of the conservation law.

Full Text: PDF DOI: 10.5539/jmr.v1n1p98

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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