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A partial differential equation related to a problem in atmospheric pollution |
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| Authors: | I Ali SL Kalla HG Khajah |
| Institution: | Department of Mathematics and Computer Science, Kuwait University P.O. Box 5969, Safat, Kuwait 13060 Department of Applied Sciences, College of Tech. Studies PAAET, P.O. Box 42325, Shuwaikh, Kuwait 70654 |
| Abstract: | We investigate a generalized form of a partial differential equation governing the diffusion of heavy pollutants into the atmosphere. In earlier treatments of the equation, the vertical component of turbulent exchange coefficient was assumed to be linear. Our generalization takes into account the nonlinear case of this component. Furthermore, two general identities involving the confluent hypergeometric function of the second kind are derived in the course of solving the given PDE. |
| Keywords: | Hankel transform Confluent hypergeometric function Diffusion |
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