Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
December 13, 2025Engineering Computations

On memory-based higher-order iterative schemes for nonlinear equations: complex dynamics and applications

View Full Paper
Ask AI
Bookmark
Share

Authors

SAShahid AbdullahAdvanced Materials and Processes Research InstituteNCNeha ChoubeyDepartment of Science and TechnologySDSuresh DaraBarkatullah University

Discussion

Loading...

Member takes

Implication

New iterative methods improve convergence for nonlinear equations, suggesting wider practical applications including neural activation.

Key Points

  • This research focuses on developing advanced memory-based iterative schemes for nonlinear equations to address convergence limitations.
  • Introduced two-step and three-step derivative-free iterative schemes.
  • Utilized Hermite interpolating polynomials for self-accelerating parameters.
  • Conducted numerical experiments on various nonlinear equations and engineering problems.
  • Achieved convergence order up to 5.70 and 11.68 for memory-based methods.
  • Demonstrated superiority of new iteration methods over existing techniques.
  • Illustrated faster basin portraits with wider convergence regions.

Cite This Study

Abdullah et al. (2025) studied this question.

synapsesocial.com/papers/694018f82d562116f28f5dafhttps://doi.org/10.1108/ec-04-2025-0357
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1A New Adaptive Eleventh-Order Memory Algorithm for Solving Nonlinear Equations2024 · 4 citations
  2. 2New optimal fourth-order iterative method based on linear combination technique2021 · 11 citations