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An approach to solutions of coupled semilinear partial differential equations with applications
Author(s) -
AbdelGawad H. I.,
ElShrae A. M.
Publication year - 2000
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/1099-1476(20000710)23:10<845::aid-mma139>3.0.co;2-5
Subject(s) - mathematics , partial differential equation , initial value problem , sequence (biology) , work (physics) , flow (mathematics) , mathematical analysis , value (mathematics) , geometry , thermodynamics , genetics , physics , biology , statistics
In this work, an approach for finding the solution of coupled semi‐linear diffusion equations for initial value problems is presented. The formal exact solution is found and the Picard iteration is constructed. It is shown that the constructed sequence of solutions converges uniformly for some classes of initial value problems. The problem of dispersion of an oxygen demanding pollutant released into a uniform flow is studied. Copyright © 2000 John Wiley & Sons, Ltd.