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Approximate solution of non-linear equations of ytterbium (III) chemical adsorption process within zinc oxide würtzite nanomatrices using EHPM and BPES

K.Boubaker

Knowledge of the kinetics of doping elements adsorption within hosting edifices is of great importance in the development of chemistry and materials science. In this paper, the Enhanced homotopy perturbation method (EHPM) is applied alongwith the Boubaker polynomials Expansion Scheme (BPES) to the problemof adsorption and desorption behaviors of Ytterbium inside würtzite ZnO matrices. The approximate analytical expressions of the non-steady-state concentrations as results of reactions mechanisms inside würtzite ZnO Matrices, is derived for the given values of the relevant parameters. Influence of initial concentration of Yb(III), initial pH of solution and temperature on the adsorption ofYtterbiumare taken into account. The obtained results are compared to the available analytical results and are found to be in good agreement. Theoretical considerations are discussed in order to illustrate the ability and reliability of the methods. Comparison of NHPM results with those of BPES revealed both techniques are effective and convenient.