Efficacy of optimal methods for nonlinear equations with chemical engineering applications

DOI10.1155/2019/1728965zbMath1435.65075OpenAlexW2956523656WikidataQ127497118 ScholiaQ127497118MaRDI QIDQ2298119

Obadah Said Solaiman, Ishak Hashim

Publication date: 20 February 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/1728965

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (1)

A reliable algorithm to check the accuracy of iterative schemes for solving nonlinear equations: an application of the CESTAC method

Cites Work

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• An optimal fourth order iterative method for solving nonlinear equations and its dynamics
• A family of second derivative free fourth order continuation method for solving nonlinear equations
• On a general class of optimal order multipoint methods for solving nonlinear equations
• A biparametric family of four-step sixteenth-order root-finding methods with the optimal efficiency index
• A family of iterative methods with sixth and seventh order convergence for nonlinear equations
• Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points
• Efficient methods of optimal eighth and sixteenth order convergence for solving nonlinear equations
• Sixteenth-order method for nonlinear equations
• A stable family with high order of convergence for solving nonlinear equations
• A family of higher order iterations free from second derivative for nonlinear equations in \(\mathbb{R}\)
• Application of interval Newton's method to chemical engineering problems
• A new class of optimal four-point methods with convergence order 16 for solving nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• Some fourth-order iterative methods for solving nonlinear equations
• THREE-STEP ITERATIVE METHOD WITH EIGHTEENTH ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS
• Numerical solution of constrained non-linear algebraic equations
• Optimal Order of One-Point and Multipoint Iteration

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