contributor author | W. G. Paff | |
contributor author | G. Ahmadi | |
date accessioned | 2017-05-08T23:40:29Z | |
date available | 2017-05-08T23:40:29Z | |
date copyright | September, 1993 | |
date issued | 1993 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26350#783_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/111410 | |
description abstract | A linear Langevin equation for the velocity of a Brownian particle is considered. The equation of motion is solved and the Karhunen-Loeve expansion for the particle velocity is derived. The mean-square velocity as obtained by the truncated Karhunen-Loeve expansion is compared with the exact solution. It is shown, as the number of terms in the series increases, the result approaches that of the exact solution asymptotically. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | On the Convergence of Karhunen-Loeve Series Expansion for a Brownian Particle | |
type | Journal Paper | |
journal volume | 60 | |
journal issue | 3 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.2900876 | |
journal fristpage | 783 | |
journal lastpage | 784 | |
identifier eissn | 1528-9036 | |
keywords | Particulate matter | |
keywords | Equations of motion AND Equations | |
tree | Journal of Applied Mechanics:;1993:;volume( 060 ):;issue: 003 | |
contenttype | Fulltext | |