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

M.-C. Casabán | Zendy; J.C. Cortés | Zendy; B. GarcíaMora | Zendy; L. Jódar | Zendy

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

Author(s) -

M.-C. Casabán,

J.C. Cortés,

B. GarcíaMora,

L. Jódar

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/676372

Subject(s) - mathematics , mathematical analysis , sine and cosine transforms , boundary value problem , sine , fourier transform , fourier analysis , geometry , short time fourier transform

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

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