Using Green's function in mathematical modeling of pollutant reduction in the environment
Subject Areas : Environmental Sciences
1 -
Keywords: Environment, Pollutants, Differential Equation, Green's Function,
Abstract :
Predicting the transfer and reduction of pollutants, and preventing environmental pollution is of
particular importance. Among the powerful and reliable tools for examining the release and
concentration of pollutants are mathematical models in the environment. Most mathematical
models governing the phenomenon of pollutant transfer and pollution reduction are in the form
of differential equations. One of the cases of environmental pollution is oil and product
transportation pipelines, which, if not managed or poorly managed, cause serious problems in
terms of human health and the environment. The mathematical model related to oil pipelines
and its derivatives is a second-order nonlinear ordinary differential equation. In this article, we
examine the aforementioned equation and discuss the periodicity of pipe emptying times in
,order to reduce environmental pollution. For this purpose, we use the Green's function method
which is a useful tool for solving nonlinear differential equations
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