Measuring the Pollutants in a System of Three Interconnecting Lakes by the 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: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6664307 |
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| author | Indranil Ghosh M. S. H. Chowdhury Suazlan Mt Aznam M. M. Rashid |
| author_facet | Indranil Ghosh M. S. H. Chowdhury Suazlan Mt Aznam M. M. Rashid |
| author_sort | Indranil Ghosh |
| collection | DOAJ |
| 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 |
| id | doaj-art-e019ba4a34674e84bbf320b13b3dcbb0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e019ba4a34674e84bbf320b13b3dcbb02025-02-03T01:25:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422021-01-01202110.1155/2021/66643076664307Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical MethodIndranil Ghosh0M. S. H. Chowdhury1Suazlan Mt Aznam2M. M. Rashid3Department of Science in Engineering, Faculty of Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, MalaysiaDepartment of Science in Engineering, Faculty of Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, MalaysiaDepartment of Science in Engineering, Faculty of Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, MalaysiaDepartment of Mechatronics Engineering, Faculty of Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, MalaysiaPollution 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.http://dx.doi.org/10.1155/2021/6664307 |
| spellingShingle | 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 Journal of Applied Mathematics |
| title | Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method |
| title_full | Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method |
| title_fullStr | Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method |
| title_full_unstemmed | Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method |
| title_short | Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method |
| title_sort | measuring the pollutants in a system of three interconnecting lakes by the semianalytical method |
| url | http://dx.doi.org/10.1155/2021/6664307 |
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