Suitable Space Detecting Method for solving non-linear equations by using Numerical Differentiation

This paper demonstrates a new method for solving a non-linear equation by using Numerical Differentiation. Throughout the studyan iterative algorithm has been proposed to find the suitable space (where root is located) for non-linear equations and it has been discovered by numerical results that proposed algorithm needs lesser number of iterations than Bisection method and Newton Raphson method to get required accuracy. Therefore, it can be said that modified method is faster than Bisection method and Newton Raphson method. In order to compare the results, some examples have been taken related to algebraic, trigonometric and transcendental functions. The software MATLAB, C++ and MICROSOFT EXCEL are used for finding the roots and results of non-linear equations with their graphical representation. It has been discovered that modified method executes better in comparison with existing iterative method.