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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

A sixth-order iterative scheme based on multiplicative derivatives for solving nonlinear equations

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pp. 2543–2552Vol. 29Issue 8August 2026DOI: 10.47974/JIM-2640XML
Received:
01 Feb 2026
Published Online:
25 Aug 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2640
Pages:
2543–2552

Abstract

Numerical root-finding methods of nonlinear equations (NLE) are important as it has a many applications in engineering and sciences. Therefore, this arises to the study of the designing and stability of iterative approaches to solve NLE. Several higher order iterative technique are available in literature to approximate the solution of NLE. To increase the efficiency and stability of iterative methods different approaches are used by earlier authors. Recently, authors have developed the iterative schemes with multiplicative derivative to solve the NLE. In this direction, we have constructed the sixth order iterative method with the concept of multiplicative derivative instead of ordinary derivative. Some numerical have been tested and compared with earlier methods.

Keywords

Subject Classifications

65G9965H05

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