Introduction of Ostrowski Homotopy Continuation Method for Solving Nonlinear Equations Using Mathematica

The solution to a nonlinear equation is found in this study by combining classical and powerful method. Basically, it well known that the Homotopy Continuation Method (HCM) method has been used for solving problem of A new approach introduced which as Ostrowski (Ostrowski-HCM) with purpose overcome divergence arises from Ostrowski’s when bad initial guess used. To put simply, derivative given function at starting point equal zero, arises. As result, division zero renders scheme invalid. In addition, mathematical software, Mathematica 7.0, implement Ostrowski-HCM results. Thus, analysis results, proven reliable advantageous equation.