Numerical Simulation of Phycoremediation for Nutrient Removal Using the Extended Monod Model with Saulyev Technique

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DOI: https://doi.org/10.28924/2291-8639-24-2026-39
Published: Feb 19, 2026
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Areerat Vongkok, Anantanit Chumsri, Nopparat Pochai, Numerical Simulation of Phycoremediation for Nutrient Removal Using the Extended Monod Model with Saulyev Technique, Int. J. Anal. Appl., 24 (2026), 39.

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Areerat Vongkok, Anantanit Chumsri, Nopparat Pochai

Abstract

Nowadays, as water pollution is increasing from agricultural sectors due to nitrogen and phosphorus, phycoremediation is used to remove nutrients with microalgae. In this paper, a mathematical model is developed to use the extended Monod model to analyze the growth of microalgae that have adsorbed nutrients by considering various flow velocities and levels of nitrogen as effects of biomass concentration. This model has been calculated with the numerical finite difference method using the Saulyev technique. Numerical simulations show results for various scenarios with flow velocities and levels of nitrogen that affect the growth of microalgae.

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References

  1. N.M. Sunar, N.F.N. Abdullah, P.A. Gani, H.M.M. Peralta, A. Khalid, Extraction of Microalgae Miomass via Domestic Wastewater Phycoremediation, Fuel Mix. Form. Combust. Process. 1 (2019), 7.
  2. Z. KILIÇ, Water Pollution: Causes, Negative Effects and Prevention Methods, Istanb. Sabahattin Zaim Univ. J. Inst. Sci. Technol. 3 (2021), 129-132. https://doi.org/10.47769/izufbed.862679.
  3. M. Bystricky, C. Furrer, C. Ritzel, T. Nemecek, G. Gaillard, Effects of Water Protection Measures in Agriculture on the Environmental Impacts of the Swiss Food Sector, J. Clean. Prod. 466 (2024), 142819. https://doi.org/10.1016/j.jclepro.2024.142819.
  4. M. Ranjitham, N.V. Manjunath, G. Bharath, R.U. Deepak, R. Desika, An Overview of Agricultural Pollution: An Emerging Issue, Int. Res. J. Eng. Technol. 7 (2020), 1774-1776.
  5. R.M. Madjar, G.V. Scăețeanu, M.A. Sandu, Nutrient Water Pollution from Unsustainable Patterns of Agricultural Systems, Effects and Measures of Integrated Farming, Water 16 (2024), 3146. https://doi.org/10.3390/w16213146.
  6. C.I. Ludemann, N. Wanner, P. Chivenge, A. Dobermann, R. Einarsson, P. Grassini, F.N. Tubiello, A Global FAOSTAT Reference Database of Cropland Nutrient Budgets and Nutrient Use Efficiency (1961–2020): Nitrogen, Phosphorus and Potassium, Earth Syst. Sci. Data 16 (2024), 525–541.
  7. I. Zahoor, A. Mushtaq, Water Pollution from Agricultural Activities: A Critical Global Review, Int. J. Chem. Biochem. Sci. 23 (2023), 164–176.
  8. M. Sarwar, Harmful Effects of Intensive Nitrogen Fertilizer Usage to Humans and Managing of Risks, Spec. J. Agric. Sci. 4 (2018), 9–15.
  9. G. Mancuso, G.F. Bencresciuto, S. Lavrnić, A. Toscano, Diffuse Water Pollution from Agriculture: A Review of Nature-Based Solutions for Nitrogen Removal and Recovery, Water 13 (2021), 1893. https://doi.org/10.3390/w13141893.
  10. M. Ranjitham, N.V. Manjunath, G. Bharath, R.U. Deepak, R. Desika, An Overview of Agricultural Pollution: An Emerging Issue, Int. Res. J. Eng. Technol. 7 (2020), 1774–1776.
  11. A.Q. Mugheri, Numerical Simulation of One-Dimensional Advection Diffusion Equation by New Hybrid Explicit Finite Difference Schemes, Quaid-e-Awam Univ. Res. J. Eng. Sci. Technol. 21 (2023), 54-62. https://doi.org/10.52584/qrj.2101.07.
  12. W. Klaychang, N. Pochai, Implicit Finite Difference Simulation of Water Pollution Control in a Connected Reservoir System, IAENG Int. J. Appl. Math. 46 (2016), 47–57.
  13. K. Suebyat, N. Pochai, A Numerical Simulation of a Three-Dimensional Air Quality Model in an Area Under a Bangkok Sky Train Platform Using an Explicit Finite Difference Scheme, IAENG Int. J. Appl. Math. 47 (2017), 1–6.
  14. P. Oyjinda, N. Pochai, Numerical Simulation to Air Pollution Emission Control Near an Industrial Zone, Adv. Math. Phys. 2017 (2017), 5287132. https://doi.org/10.1155/2017/5287132.
  15. P. Samalerk, N. Pochai, Numerical Simulation of a One-Dimensional Water-Quality Model in a Stream Using a Saulyev Technique with Quadratic Interpolated Initial-Boundary Conditions, Abstr. Appl. Anal. 2018 (2018), 1926519. https://doi.org/10.1155/2018/1926519.
  16. A. Vongkok, N. Pochai, Numerical Models of Nitrogen Compound Measurements in a Stream with Removal Mechanism Using Saulyev Technique with Cubic Spline Interpolation, J. Interdiscip. Math. 22 (2019), 1235-1275. https://doi.org/10.1080/09720502.2019.1668153.
  17. A. Vongkok, N. Pochai, Numerical Simulations for Reactive Nitrogen Compounds Pollution Measurements in a Stream Using Saulyev Method, Ital. J. Pure Appl. Math. 43 (2020), 552–582.
  18. J. Yang, C. Lee, S. Kwak, Y. Choi, J. Kim, A Conservative and Stable Explicit Finite Difference Scheme for the Diffusion Equation, J. Comput. Sci. 56 (2021), 101491. https://doi.org/10.1016/j.jocs.2021.101491.
  19. S. Pourghanbar, J. Manafian, M. Ranjbar, A. Aliyeva, Y.S. Gasimov, An Efficient Alternating Direction Explicit Method for Solving a Nonlinear Partial Differential Equation, Math. Probl. Eng. 2020 (2020), 9647416. https://doi.org/10.1155/2020/9647416.
  20. P. Othata, N. Pochai, A One-Dimensional Mathematical Simulation to Salinity Control in a River with a Barrage Dam Using an Unconditionally Stable Explicit Finite Difference Method, Adv. Differ. Equ. 2019 (2019), 203. https://doi.org/10.1186/s13662-019-2106-4.
  21. P. Samalerk, N. Pochai, A Saulyev Explicit Scheme for an One-Dimensional Advection-Diffusion-Reaction Equation in an Opened Uniform Flow Stream, Thai J. Math. 18 (2020), 677–683.
  22. S. Manilam, N. Pochai, A Non-Dimensional Mathematical Model of Shoreline Evolution with a Groin Structure Using an Unconditionally Stable Explicit Finite Difference Technique, IAENG Int. J. Appl. Math. 52 (2022), 473.
  23. U.A.F.M. Sadiq, M.E. Yow, S.S. Jamaian, The Extended Monod Model for Microalgae Growth and Nutrient Uptake in Different Wastewaters, Int. J. Eng. Technol. 7 (2018), 200-204. https://doi.org/10.14419/ijet.v7i4.30.22120.