Some novel sixth-order iteration schemes for computing zeros of nonlinear scalar equations and their applications in engineering

DOI10.1155/2021/5566379zbMath1469.65093OpenAlexW3156989511MaRDI QIDQ2025744

Amir Naseem, M. A. Rehman, Thabet Abdeljawad

Publication date: 17 May 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5566379

zbMATH Keywords

root findingnonlinear scalar equationssixth-order iteration schemes

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Applications to the sciences (65Z05)

Related Items (3)

Analysis of optimal iterative methods from a dynamical point of view by studying their stability properties ⋮ A new optimal root-finding iterative algorithm: local and semilocal analysis with polynomiography ⋮ Optimal fourth and eighth-order iterative methods for non-linear equations

Cites Work

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• Fixed point results in the generation of Julia and Mandelbrot sets
• Construction of Newton-like iteration methods for solving nonlinear equations
• A note on the Halley method in Banach spaces
• A family of higher order iterations free from second derivative for nonlinear equations in \(\mathbb{R}\)
• A multi-point iterative method for solving nonlinear equations with optimal order of convergence
• Application of interval Newton's method to chemical engineering problems
• Numerical algorithms for finding zeros of nonlinear equations and their dynamical aspects
• Higher-order root-finding algorithms and their basins of attraction
• Some real-life applications of a newly constructed derivative free iterative scheme
• A new modified Halley method without second derivatives for nonlinear equation
• A fast algorithm to solve systems of nonlinear equations
• Effective numerical methods for non-linear equations
• Generalized Newton Raphsons method free from second derivative
• A new Householders method free from second derivatives for solving nonlinear equations and polynomiography
• A family of Chebyshev-Halley type methods in Banach spaces
• A variant of Newton's method with accelerated third-order convergence
• New fixed point results for fractal generation in Jungck Noor orbit with \(s\)-convexity

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