Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method

Indranil Ghosh, M. S. H. Chowdhury, Suazlan Mt Aznam and M. M. Rashid

Journal of Applied Mathematics, 2021, vol. 2021, issue 1

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.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2021/6664307

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2021:y:2021:i:1:n:6664307

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().