Random mixed hyperbolic models: Numerical analysis and computing

L. Jódar, J.-C. Cortés and L. Villafuerte

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 10, 1841-1852

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.

Keywords: Boundary value problem; Numerical solution; Random differential models (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:10:p:1841-1852

DOI: 10.1016/j.matcom.2011.01.003

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