Measuring the pollutants in a system of three Interconnecting Lakes by the semianalytical method

Chowdhury, Md. Sazzad Hossien and Suazlan, Mt Aznam (2021) Measuring the pollutants in a system of three Interconnecting Lakes by the semianalytical method. Journal of Applied Mathematics, 2021 (6664307). pp. 1-16. ISSN 1110-757X E-ISSN 1687-0042

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Abstract

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:	90295/5807
Uncontrolled Keywords:	Lake pollution model, system of differential equations, fourth-order runge-kutta, new iterative method.
Subjects:	Q Science > QA Mathematics > QA297 Numerical Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	19 Jun 2021 13:18
Last Modified:	19 Jun 2021 13:18
URI:	http://irep.iium.edu.my/id/eprint/90295

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