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Random mixed hyperbolic models: Numerical analysis and computing

Author

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

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.

Suggested Citation

  • Jódar, L. & Cortés, J.-C. & Villafuerte, L., 2012. "Random mixed hyperbolic models: Numerical analysis and computing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(10), pages 1841-1852.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:10:p:1841-1852
    DOI: 10.1016/j.matcom.2011.01.003
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    References listed on IDEAS

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    1. Cortés, J.C. & Jódar, L. & Villafuerte, L. & Villanueva, R.J., 2007. "Computing mean square approximations of random diffusion models with source term," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(1), pages 44-48.
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