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November 11, 2025Mathematical Modelling and AnalysisOpen Access

Convergence analysis of a class of iterative methods: a unified approach

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Authors

MMMuniyasamy MuruganCGChandhini GodavarmaSGSanthosh George

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Overview

Analysis shows iterative methods improve convergence in nonlinear equations, indicating performance may vary by derivatives.

Key Points

  • Convergence of iterative methods is demonstrated across various nonlinear equations, enhancing solution accuracy.
  • The analysis provides a detailed examination of convergence orders based on operator derivatives.
  • Methodology includes practical numerical examples, particularly focusing on integral equations and fractional differential equations.
  • The results may indicate broader applications in solving a variety of nonlinear equation systems.

Cite This Study

Murugan et al. (2025) studied this question.

synapsesocial.com/papers/69252ea3c0ce034ddc3567fchttps://doi.org/10.3846/mma.2025.21979
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