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Three Step Inverse Free Kurchatov-Like Methods of Convergence Order Close to Four for Equations

Year: 2025

Type: article

Abstract: An inverse free Kurchatov-like methods with three steps is introduced of convergence order close to four to generate sequences approximating solutions of equations defined on complete normed spaces. The local analysis shows R-convergence close to four under conditions controlling the divided difference. Numerous experiments demonstrate the performance of the method.

Source: European Journal of Mathematical Analysis

DOI: 10.28924/ada/ma.5.15

Authors: Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola, Samundra Regmi, Nirjal Shrestha

Institutions: Cameron University, Lviv University, University of Houston, University of Florida

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410650596

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