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May 7, 2026Discover ComputingOpen Access

Computational performance of classical and hybrid root-finding methods for real-world nonlinear models

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Authors

RSRicha SharmaVCVirendra Singh Chouhan

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Overview

Hybrid root-finding methods improved convergence in nonlinear equations, highlighting robustness and stability.

Key Points

  • To analyze the computational performance of a hybrid root-finding technique combining Newton’s method and the Secant method.
  • Introduced a two-point hybrid root-finding approach that utilizes derivatives and finite-difference approximations.
  • Conducted numerical experiments comparing the hybrid method to Newton's, Secant, and Weerakoon–Fernando methods.
  • Measured iterations, function and derivative evaluations, and CPU times across various nonlinear equations.
  • The hybrid scheme achieved a balance between convergence rate and robustness across models.
  • Results indicate improved stability and predictable convergence in engineering and physical applications.

Cite This Study

Sharma et al. (2026) studied this question.

synapsesocial.com/papers/69fbe382164b5133a91a2c32https://doi.org/10.1007/s10791-026-10141-w
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