An equal-area method for scalar conservation laws

Marjeta Kramar Fijavz, Mitja Lakner, Marjeta Skapin Rugelj


We study the one-dimensional conservation law. We use a characteristic surface to define a class of functions, within which the integral version of the conservation law is solved in a simple and direct way. A simple algorithm for computing the unique solution is developed. The method uses the equal-area principle and yields the solution for any given time directly.



conservation law, equal area, characteristics, mesh free.


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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.