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This work is devoted to find the numerical solutions of several onedimensional second-order ordinary differential equations. In a heuristic way,in such equations the quadratic logistic maps regarded as a local function areinserted within the nonlinear coefficient of the function as well as within theindependent term. We apply the Numerov algorithm to solve these equations andwe discuss the role of the initial conditions of the logistic maps in suchsolutions.

Numerical solution of several second-order ordinary differential equations containing logistic maps as nonlinear coefficients