Comparative Assessment of Adams-Bashforth-Moulton, 4th order Runge-Kutta, and Euler Methods for the Synthesis of Zinc Oxide Nanostructures via the Lengyel Epstein Reaction Model
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The current study aimed to determine which approximation technique is the most successful in studying the rise in ion concentrations in forms of Zinc Oxide (ZnO) nanostructures using the Lengyel Epstein Reaction Model. To achieve this objective, Ordinary Differential Equations (ODEs) were formulated utilizing three separate numerical methods. These included Euler, Adams-Bashforth-Moulton (ABM), and 4th Order Runge-Kutta (RK) methods. The current study aimed to identify the optimal approximation approach for computing concentrations of zinc ions Zn+2 and hydroxyl ions OH- while examining the reaction kinetics of ZnO nanostructures. The research findings indicated that the ABM approach surpasses the Euler and RK methods, convergence speed, and reduced error relative to the Euler and RK methods. The ABM approach further verifies experimental findings about ZnO nanostructure synthesis by the aqueous chemical growth (ACG) process, that affirms its efficacy practically.
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Copyright (c) 2025 Kaniz Fatima, Sarwat Ishaque, Basit Ali, Asif Sumeer, Qaiser Hafeez
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