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Analytic-Numerical Solution of Random Boundary Value Heat Problems in a Semi-Infinite Bar

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  • M.-C. Casabán
  • J.-C. Cortés
  • B. García-Mora
  • L. Jódar

Abstract

This paper deals with the analytic-numerical solution of random heat problems for the temperature distribution in a semi-infinite bar with different boundary value conditions. We apply a random Fourier sine and cosine transform mean square approach. Random operational mean square calculus is developed for the introduced transforms. Using previous results about random ordinary differential equations, a closed form solution stochastic process is firstly obtained. Then, expectation and variance are computed. Illustrative numerical examples are included.

Suggested Citation

  • M.-C. Casabán & J.-C. Cortés & B. García-Mora & L. Jódar, 2013. "Analytic-Numerical Solution of Random Boundary Value Heat Problems in a Semi-Infinite Bar," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, October.
    • Handle: RePEc:hin:jnlaaa:676372
    DOI: 10.1155/2013/676372
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