A New Technique for Finding Real Roots of Non-Linear Equations Using Arithmetic Mean Formula

Abstract

The paper describes a new technique for finding real roots of both algebraic and transcendental non-linear equations using arithmetic mean formula. The new technique produces an iterative formula combining arithmetic mean formula and Newton-Rapson method. We have presented some numerical examples to compare the proficiency of proposed method together with results of known methods. The proposed method gives faster convergence and more accurate results than existing methods.

Cite as

Md. Zahangir Alam. (2022). A New Technique for Finding Real Roots of Non-Linear Equations Using Arithmetic Mean Formula. Journal of Applied Mathematics and Statistical Analysis, 3(2), 1–5. https://doi.org/10.5281/zenodo.6810774