Work

Weighted Harmonic Mean Technique for Finding Real Root of Non-linear Equations

Year: 2024

Type: article

Abstract: In this paper, a new technique is presented for finding a real root of non-linear equations. The new technique is a combination of Newton-Raphson method and weighted harmonic mean method. The weights used in the iteration formula are taken from the Taylor’s series expansion. Some numerical examples are performed to compare the efficiency of proposed method with the existing methods. The new technique gives better results than the other existing methods with the less iteration.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.14551404

Authors: Md. Ataur Rahman, Md. Zahangir Alam

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6893262983

FWCI:

Cites:

Cited by:

Related to: