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August 26, 2025Open Access

Optimizing Nonlinear Problem Solving: Novel Third to Eighth-Order Iterative Schemes via Homotopy Perturbation Method

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Authors

MRMuhammad RazaMHMashood Ul haqNRNajma Abdul Rehman

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Overview

Comparison of third to eighth-order iterative schemes shows improved convergence speed and stability for nonlinear problems.

Key Points

  • Proposed iterative schemes demonstrate superior performance in nonlinear problem-solving.
  • Compared with traditional methods, the new schemes show improved convergence speed and stability.
  • Analysis involved numerical comparison of existing and newly proposed iterative methods for effectiveness.
  • Findings reveal larger basins of attraction for the new methods, indicating better reliability in solutions.

Cite This Study

Raza et al. (2025) studied this question.

synapsesocial.com/papers/68af63efad7bf08b1eae4aedhttps://doi.org/10.21203/rs.3.rs-7439516/v1
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