Abstract
In this paper, we have developod an Algorithm of Difference Operator for finding the root of nonlinear equations. In fact, finding the root of nonlinear equations is a classical problem in numerical analysis, which arises in many branches of applied science and engineering. The proposed technique is derived from difference operator and Taylor series, and it is converging cubically. The aim of this paper to find the approximation root of the nonlinear equations with less iteration, good accuracy and without the evaluation of second derivatives. The new algorithm is comparable with the methods of variant of Newton Raphson Method and Halley Method. Few numerical examples are also presented in this paper in order to analyze the efficiency of the developed method with the assessment of existing cubic methods.

Umair Khalid Qureshi, Naresh Solanki, Muhammad Yasir Ansari. (2019) Algorithm of Difference Operator for Computing a Single Root of Nonlinear Equations, Punjab University Journal of Mathematics, Volume 51, Issue 4.
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