Article ID Journal Published Year Pages File Type
1140162 Mathematics and Computers in Simulation 2009 12 Pages PDF
Abstract
We solve Burgers' equation with random Riemann initial conditions. The closed solution allows simple expressions for its statistical moments. Using these ideas we design an efficient algorithm to calculate the statistical moments of the solution. Our methodology is an alternative to the Monte Carlo method. The present approach does not demand a random numbers generator as does the Monte Carlo method. Computational tests are added to validate our approach.
Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
Authors
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