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

Author

Listed:
  • Indranil Ghosh
  • M. S. H. Chowdhury
  • Suazlan Mt Aznam
  • M. M. Rashid

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.

Suggested Citation

  • Indranil Ghosh & M. S. H. Chowdhury & Suazlan Mt Aznam & M. M. Rashid, 2021. "Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnljam:v:2021:y:2021:i:1:n:6664307
    DOI: 10.1155/2021/6664307
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    1. Sachin Bhalekar & Varsha Daftardar-Gejji, 2011. "Convergence of the New Iterative Method," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-10, November.
    2. El-Dessoky Ahmed, M.M. & Altaf Khan, Muhammad, 2020. "Modeling and analysis of the polluted lakes system with various fractional approaches," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    3. A. A. Hemeda, 2013. "New Iterative Method: An Application for Solving Fractional Physical Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, May.
    4. A. A. Hemeda, 2013. "New Iterative Method: An Application for Solving Fractional Physical Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Noor, Muhammad Aslam & Waseem, Muhammad & Noor, Khalida Inayat, 2015. "New iterative technique for solving a system of nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 446-466.
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