Abstract:
This paper pronounces a modified numerical scheme to the conventional formula of Newton-Raphson for solving the nonlinear and transcendental equations especially
those which cannot be solved by the basic algebra. Finding the derivative of a function is difficult in some case of problems. The present formula is made with the target to
aloof the need of obtaining the derivative of the function. Comparative analysis shows that the present method is faster than Newton-Raphson method, Adomian method,
Rabolian method, Abbasbandy method, Basto method & Feng method. Iteration cost-effective parameters – number of iteration steps & the value of effective error is also
found to be minimum than these methods.
