## Abstract and Applied Analysis

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

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 676372, 9 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393449602

Digital Object Identifier
doi:10.1155/2013/676372

Mathematical Reviews number (MathSciNet)
MR3108661

Zentralblatt MATH identifier
07095224

#### Citation

Casabán, M.-C.; Cortés, J.-C.; García-Mora, B.; Jódar, L. Analytic-Numerical Solution of Random Boundary Value Heat Problems in a Semi-Infinite Bar. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 676372, 9 pages. doi:10.1155/2013/676372. https://projecteuclid.org/euclid.aaa/1393449602

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