Random mixed hyperbolic models: Numerical analysis and computing

Random mixed hyperbolic models: Numerical analysis and computing

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Article ID: iaor20124566
Volume: 82
Issue: 10
Start Page Number: 1841
End Page Number: 1852
Publication Date: Jun 2012
Journal: Mathematics and Computers in Simulation
Authors: , ,
Keywords: differential equations
Abstract:

This paper deals with the construction of reliable numerical solutions of mixed problems for hyperbolic second order partial differential models with random information in the variable coefficients of the partial differential equation and in the initial data. Using random difference schemes a random discrete eigenfunctions method is developed in order to construct a discrete approximating stochastic process. Mean square consistency of the random difference scheme is treated and mean square stability of the numerical solution is studied and illustrated with examples. Statistical moments of the numerical solution are also computed.

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