Approximate solutions of singular differential equations with estimation error by using Bernstein polynomials
Turky Alshbool, Mohammed Hamed
Osman Rasit Isik
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We present an approximate solution depending on collocation method and Bernstein polynomials for numerical solution of a singular nonlinear diﬀerential equations with the mixed conditions. The method is given with two diﬀerent priori error estimates. By using the residual correction procedure, the absolute error might be estimated and obtained more accurate results. Illustrative examples are included to demonstrate the validity and applicability of the presented technique.