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AN EQUAL-AREA METHOD FOR SCALAR CONSERVATION LAWS
Published online by Cambridge University Press: 28 May 2012
Abstract
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.
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- Copyright © Australian Mathematical Society 2012
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