Eighth-order iterative methods without derivatives for solving nonlinear equations

DOI10.5402/2011/693787zbMath1478.65038OpenAlexW2118066179WikidataQ58689999 ScholiaQ58689999MaRDI QIDQ420242

Rajinder Thukral

Publication date: 21 May 2012

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/693787

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (14)

Some new bi-accelerator two-point methods for solving nonlinear equations ⋮ An optimal and efficient general eighth-order derivative free scheme for simple roots ⋮ Various Newton-type iterative methods for solving nonlinear equations ⋮ New seventh and eighth order derivative free methods for solving nonlinear equations ⋮ Two general higher-order derivative free iterative techniques having optimal convergence order ⋮ A multidimensional generalization of some classes of free-derivative iterative methods to solve nonlinear equations ⋮ A class of three-step derivative-free root solvers with optimal convergence order ⋮ Algorithm for forming derivative-free optimal methods ⋮ Numerical simulation of singularly perturbed non-linear elliptic boundary value problems using finite element method ⋮ An efficient two-parametric family with memory for nonlinear equations ⋮ A general class of optimal eighth-order derivative free methods for nonlinear equations ⋮ Some real-life applications of a newly constructed derivative free iterative scheme ⋮ New wavelet method for solving boundary value problems arising from an adiabatic tubular chemical reactor theory ⋮ Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations

Cites Work

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• Steffensen type methods for solving nonlinear equations
• Sixth order derivative free family of iterative methods
• A variant of Steffensen's method of fourth-order convergence and its applications
• Derivative-free optimal iterative methods
• Optimal Order of One-Point and Multipoint Iteration
• A variant of Newton's method with accelerated third-order convergence

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