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Measuring the pollutants in a system of three interconnecting lakes by a semianalytical method

Pollution has become an intense danger to our environment. The lake pollution model is formulated into the three-dimensional system of differential equations with three instances of input. In the present study, the new iterative method (NIM) was applied to the lake pollution model with three cases c...

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Main Authors:	Ghosh, Indranil, Chowdhury, Md. Sazzad Hossien, Mt Aznam, Suazlan, Rashid, Muhammad Mahbubur
Format:	Article
Language:	English
Published:	Hindawi 2021
Subjects:	TE250 Pavement and paved roads
Online Access:	http://irep.iium.edu.my/90273/7/90273_Measuring%20the%20pollutants%20in%20a%20system.pdf http://irep.iium.edu.my/90273/ https://www.hindawi.com/journals/jam
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spelling	my.iium.irep.902732021-06-17T07:59:45Z http://irep.iium.edu.my/90273/ Measuring the pollutants in a system of three interconnecting lakes by a semianalytical method Ghosh, Indranil Chowdhury, Md. Sazzad Hossien Mt Aznam, Suazlan Rashid, Muhammad Mahbubur TE250 Pavement and paved roads Pollution has become an intense danger to our environment. The lake pollution model is formulated into the three-dimensional system of differential equations with three instances of input. In the present study, the new iterative method (NIM) was applied to the lake pollution model with three cases called impulse input, step input, and sinusoidal input for a longer time span. The main feature of the NIM is that the procedure is very simple, and it does not need to calculate any special type of polynomial or multipliers such as Adomian polynomials and Lagrange’s multipliers. Comparisons with the Adomian decomposition method (ADM) and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the NIM is a powerful alternative for differential equations providing more realistic series solutions that converge very rapidly in real physical problems. Hindawi 2021-06-15 Article PeerReviewed application/pdf en http://irep.iium.edu.my/90273/7/90273_Measuring%20the%20pollutants%20in%20a%20system.pdf Ghosh, Indranil and Chowdhury, Md. Sazzad Hossien and Mt Aznam, Suazlan and Rashid, Muhammad Mahbubur (2021) Measuring the pollutants in a system of three interconnecting lakes by a semianalytical method. Journal of Applied Mathematics, 2021. pp. 1-16. ISSN 1110-757X E-ISSN 16870042 https://www.hindawi.com/journals/jam 10.1155/2021/6664307
institution	Universiti Islam Antarabangsa Malaysia
building	IIUM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	International Islamic University Malaysia
content_source	IIUM Repository (IREP)
url_provider	http://irep.iium.edu.my/
language	English
topic	TE250 Pavement and paved roads
spellingShingle	TE250 Pavement and paved roads Ghosh, Indranil Chowdhury, Md. Sazzad Hossien Mt Aznam, Suazlan Rashid, Muhammad Mahbubur Measuring the pollutants in a system of three interconnecting lakes by a semianalytical method
description	Pollution has become an intense danger to our environment. The lake pollution model is formulated into the three-dimensional system of differential equations with three instances of input. In the present study, the new iterative method (NIM) was applied to the lake pollution model with three cases called impulse input, step input, and sinusoidal input for a longer time span. The main feature of the NIM is that the procedure is very simple, and it does not need to calculate any special type of polynomial or multipliers such as Adomian polynomials and Lagrange’s multipliers. Comparisons with the Adomian decomposition method (ADM) and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the NIM is a powerful alternative for differential equations providing more realistic series solutions that converge very rapidly in real physical problems.
format	Article
author	Ghosh, Indranil Chowdhury, Md. Sazzad Hossien Mt Aznam, Suazlan Rashid, Muhammad Mahbubur
author_facet	Ghosh, Indranil Chowdhury, Md. Sazzad Hossien Mt Aznam, Suazlan Rashid, Muhammad Mahbubur
author_sort	Ghosh, Indranil
title	Measuring the pollutants in a system of three interconnecting lakes by a semianalytical method
title_short	Measuring the pollutants in a system of three interconnecting lakes by a semianalytical method
title_full	Measuring the pollutants in a system of three interconnecting lakes by a semianalytical method
title_fullStr	Measuring the pollutants in a system of three interconnecting lakes by a semianalytical method
title_full_unstemmed	Measuring the pollutants in a system of three interconnecting lakes by a semianalytical method
title_sort	measuring the pollutants in a system of three interconnecting lakes by a semianalytical method
publisher	Hindawi
publishDate	2021
url	http://irep.iium.edu.my/90273/7/90273_Measuring%20the%20pollutants%20in%20a%20system.pdf http://irep.iium.edu.my/90273/ https://www.hindawi.com/journals/jam
_version_	1703960217650200576
score	13.211869

Measuring the pollutants in a system of three interconnecting lakes by a semianalytical method

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