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A generalized Hankel transform and its use for solving certain partial differential equations

Published online by Cambridge University Press:  17 February 2009

I. Ali  and
S. Kalla
I. Ali
Affiliation:
Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969 Safat, Kuwait 13060
S. Kalla
Affiliation:
CIMA, Facultad de Ingenería, Universidad del Zuila, Apartado - 10182, Maracaibo, Venezuela
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Abstract

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We introduce a generalized form of the Hankel transform, and study some of its properties. A partial differential equation associated with the problem of transport of a heavy pollutant (dust) from the ground level sources within the framework of the diffusion theory is treated by this integral transform. The pollutant concentration is expressed in terms of a given flux of dust from the ground surface to the atmosphere. Some special cases are derived.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 1 , July 1999 , pp. 105 - 117
Copyright
Copyright © Australian Mathematical Society 1999

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