Solving the Special Second Order Ozonation System by OHAM in Tackling the Liver Cancer

Document Type : Research Paper


1 Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran.

2 Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, Rudsar-Vajargah, ‎Iran.

3 Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.


this paper, we have presented the solution of the second-order ozone decomposition system with OH radical and microcystin-LR without dissolved organic content (DOC), and claim that one can tackle with such a large problem by the least cost and time. The governing differential system is solved by Optimal Homogony Asymptotic Method (OHAM), and the solutions of the system are illustrated by some plots.


[1] M. S. Elovitz, U. von Gunten, H. P. Kaiser, Hydroxyl radical/ozone ratios during ozonation processes. II. The e ect of temperature, pH, alkalinity, and DOM properties, Ozone: science and engineering 22 (2000) 123-150.
[2] S. Gupta, Cyanobacterial toxins: microcystin-LR, World Health Organisation Geneva, (1988).
[3] J. Hoigne, H. Bader, Rate constants of reactions of ozone with organic and inorganic compounds in water: non-dissociating organic compounds, Water Research 17 (1983) 173-183.
[4] J. Hoigne, H. Bader, W. R. Haag, J. Staehelin, Rate constants of reactions of ozone with
organic and inorganic compounds in water III, Inorganic compounds and radicals, Water Research 19 (1985) 993-1004.
[5] V. Marinca, N. Herisanu, The Third Alternative of the Optimal Homotopy Asymptotic Method, Springer, International Publishing Switzerland 14 (2015) 391-465.
[6] J. M. Montgomery, Water treatment: principles and design, John Wiley & Sons, New York, (1985).
[7] J. Rositano, G. Newcombe, B. Nicholson, P. Sztajnbok, Ozonation of NOM and algal toxins in four treated waters, Water Research 35 (2001) 23-32.
[8] J. Rositano, B. C. Nicholson, P. Pieronne, Destruction of cyanobacterial toxins by ozone, Ozone: Science and Engineering 20 (1998) 223-238.
[9] AR. Shawwa, DW. Smith, Kinetics of microcystin-LR oxidation by ozone, Ozone: Science and Engineering 23 (2001) 161-170.
[10] J. L. Sotelo, F. J. Beltran, F. J. Benitez, J. Beltran-Heredia, Ozone decomposition in water: kinetic study, Industrial and Engineering Chemistry Research 26 (1987) 39-43.
[11] U. Von Gunten, Ozonation of drinking water: Part I. Oxidation kinetics and product formation, Water Research 37 (2003) 1443-1467.