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Stochastic Diffusion-Convection Boundary Value Problems

✍ Scribed by Magdy A.El Tawil

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
303 KB
Volume
9
Category
Article
ISSN
0960-0779

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✦ Synopsis

The one dimensional di}usion!convection nonhomogeneous partial di}erential equation is solved under a stochastic source[ The statistical moments of the solution process are obtained in closed form expressions for a general random source function[ To illustrate the method of analysis\ special cases are considered and an application concerning a pollution of a moving stream is introduced and solved numerically[ Introducing the governing parameters\ the statistical moments of the concentration of the pollutant is illustrated in terms of non!dimensional variables through _gures[ Þ 0887 Elsevier Science Ltd[ All rights reserved[

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In this paper, we initiate a systematic study of the theory of nonlinear second order SBVP through sample calculus approach [4] and obtain some fundamental results. We first prove an existence result for bounded nonlinearities and then develop the method of upper and lower sample solution processes