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 purpose of this research study is to determine which approximation technique is the most successful in studying the rise in ion concentrations in forms of zinc oxide nanostructures using the Lengyel Epstein reaction model. To achieve this objective, ordinary differential equations are formulated utilizing three separate numerical methods that includes Euler, Adams Bashforth Moulton (ABM) and 4th order Runge Kutta (RK) methods. This research aims to identify the optimal approximation approach for computing concentrations of zinc ions Zn+2 and hydroxyl ions OH- while examining the reaction kinetics of zinc oxide nanostructures. The research findings indicate 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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