2021 Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method
Indranil Ghosh, M. S. H. Chowdhury, Suazlan Mt Aznam, M. M. Rashid
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J. Appl. Math. 2021: 1-16 (2021). DOI: 10.1155/2021/6664307


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.


The authors are grateful for the monetary help from the Ministry of Higher Education and International Islamic University Malaysia via the FRGS-RACER Grant no. RACER/1/2019/TK10/UIAM//1.


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Indranil Ghosh. M. S. H. Chowdhury. Suazlan Mt Aznam. M. M. Rashid. "Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method." J. Appl. Math. 2021 1 - 16, 2021. https://doi.org/10.1155/2021/6664307


Received: 8 October 2020; Accepted: 8 May 2021; Published: 2021
First available in Project Euclid: 28 July 2021

Digital Object Identifier: 10.1155/2021/6664307

Rights: Copyright © 2021 Hindawi


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