The Studying of Random Cauchy Convection Diffusion Models under Mean Square and Mean Fourth CalculusSohalya MA*, Yassena MT and Elbaza IM
Faculty of Science, Department of Mathematics, Mansoura University, Egypt
- *Corresponding Author:
- Sohalya MA
Faculty of Science, Department of Mathematics
Mansoura University, Egypt
Tel: +20 50 2383781
E-mail: [email protected]; [email protected]; [email protected]
Received date: February 12, 2016; Accepted date: March 15, 2017; Published date: March 30, 2017
Citation: Sohalya MA, Yassena MT, Elbaza IM (2017) The Studying of Random Cauchy Convection Diffusion Models under Mean Square and Mean Fourth Calculus. J Appl Computat Math 6:343. doi: 10.4172/2168-9679.1000343
Copyright: © 2017 Sohalya MA, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
The random partial differential equations have a wide range of physical, chemical, and biological applications. The finite difference method offers an attractively simple approximations for these equations. In this paper, the finite difference technique is performed in order to find an approximation solutions for the linear one dimensional convection-diffusion equation with random variable coefficient. We study the consistency and stability of the finite difference scheme under mean square sense. A statistical measure such as mean for the numerical approximation, and the exact solution based on different statistical distributions is computed.