Some New Classes of General Harmonic-like Nonlinear Equations

Muhammad Aslam Noor; Khalida Inayat Noor

doi:10.2478/gm-2025-0002

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Some New Classes of General Harmonic-like Nonlinear Equations

General Mathematics

Volume 33 (2025): Issue 1 (June 2025)

By: Muhammad Aslam Noor and Khalida Inayat Noor

Open Access

|Apr 2026

Abstract

Some classes of general nonlinear equations, which can be viewed as a novel important special case of nonlinear equations, are introduced and investigated. Using various techniques and dynamical systems coupled with f inite difference approach, we suggest and analyzed a number of new iterative methods s for solving harmonic-like nonlinear equations. Convergence analysis of these methods is investigated under suitable conditions. One can obtain a number of new classes of general nonlinear equations by interchanging the role of operators. Various special cases are discussed as applications of the main results. Several open problems are suggested for future research.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2025-0002 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 17 - 35

Submitted on: May 2, 2025

Accepted on: Aug 24, 2025

Published on: Apr 8, 2026

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Harmonic-like nonlinear equations,

iterative methods,

Auxiliary principle technique,

Dynamical system,

convergence

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2026 Muhammad Aslam Noor, Khalida Inayat Noor, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 33 (2025): Issue 1 (June 2025)