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

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

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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.

Item Type: Article (Journal)
Additional Information: 90273/5486
Subjects: T Technology > TE Highway engineering. Roads and pavements > TE250 Pavement and paved roads
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Engineering > Department of Mechatronics Engineering
Kulliyyah of Engineering > Department of Science
Depositing User: Dr Muhammad Rashid
Date Deposited: 17 Jun 2021 15:58
Last Modified: 17 Jun 2021 15:59
URI: http://irep.iium.edu.my/id/eprint/90273

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