استفاده از تابع گرین در مدل سازی ریاضی کاهش آلاینده ها در محیط زیست
محورهای موضوعی : علوم محیط زیست
1 - عضو هیات علمی
کلید واژه: محیط زیست, آلاینده ها, معادله دیفرانسیل, تابع گرین,
چکیده مقاله :
پیش بینی انتقال و کاهش آلاینده ها، و جلوگیری از آلودگی محیط زیست از اهمیت ویژه ای برخوردار است. از جمله ابزارهای توانمند و قابل اعتماد برای بررسی انتشار و غلظت آلاینده ها، مدل های ریاضی در محیط زیست هستند. اغلب مدل های ریاضی حاکم بر پدیدة انتقال آلاینده ها و کاهش آلودگی به صورت معادلات دیفرانسیل می باشند. یکی از موارد آلودگی محیط زیست، خطوط لوله های انتقال نفت و فرآورده های آن است که در صورت عدم مدیریت یا مدیریت ضعیف، آلاینده های ناشی از آن ها مشکلات جدی در رابطه با سلامت انسان و محیط زیست به وجود می آورند. مدل ریاضی مرتبط به خطوط لوله های انتقال نفت و مشتقات آن، یک معادله دیفرانسیل معمولی غیر خطی مرتبه دوم است. در این تحقیق، معادلة مذکور را مورد بررسی قرار داده و جهت کاهش آلودگی محیط زیست، دوره های تناوب زمان تخلیه لوله ها را مورد بحث قرار می دهیم. برای این منظور، از روش تابع گرین که یک ابزار قرتمند برای حل معادلات دیفرانسل غیر خطی است استفاده می کنیم.
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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