This article is cited in 7 papers

First moment functions of the solution to the heat equation with random coefficients

V. G. Zadorozhniy, S. S. Khrebtova

Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia

Abstract: The expectation and the second moment of the solution to the linear inhomogeneous heat equation with random coefficients are found.

Key words: heat conduction, variational derivative, moment functions.

UDC: 519.633

Received: 26.01.2009
Revised: 28.04.2009

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:11, 1853–1868

Bibliographic databases:

• 
•