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Finding the Roots of Non-linear Equations Numerically using Newton’s Raphson Method by A New Mathematical Technique

Numerical methods are used to approximate solutions of equations when exact solutions can not be determined via algebraic methods. They construct successive approximations that converge to the exact solution of an equation or system of equations. The aim of this paper is to find the roots of Non-linear Equations Numerically using Newton’s Raphson Method by A New Mathematical Technique. We followed the applied mathematical method using a new mathematical technique and we found the following some results: The New Mathematical Technique facilitates the process of finding the roots of non-linear equations of different degrees, the possibility of drawing these roots graphically in addition to the accuracy, speed and logicality of the solution and reduce errors compared to the numerical analytical solution manually.