Keywords: معادلات غیر خطی; Newton’s method; Iterative methods; Nonlinear equations; Order of convergence; Extraneous fixed points; Basin of attraction
مقالات ISI معادلات غیر خطی (ترجمه نشده)
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Keywords: معادلات غیر خطی; Basin of attraction; Optimal methods; Simple roots; Nonlinear equations; Interpolation;
Keywords: معادلات غیر خطی; Compact finite difference schemes; Integro-differential equations; Fredholm equations; Volterra equations; Nonlinear equations; High accuracy;
Keywords: معادلات غیر خطی; Rearrangements; Nonlinear equations; Uniqueness results
Keywords: معادلات غیر خطی; Nonlinear equations; High order; Multiple roots; Fixed point
Keywords: معادلات غیر خطی; Nonlinear equations; Traub’s iterative method; Basin of attraction; Parameter plane; Stability; Matrix equations
Keywords: معادلات غیر خطی; 35K45; 35K90; 47D60; 65M06; 65M55Numerical analysis; Operator-splitting method; Initial value problems; Iterative solver method; Nonlinear equations
Keywords: معادلات غیر خطی; primary, 55M20, 54H25; secondary, 47H10, 65H10, 91A44, 91B50Existence theorems; Roots; Fixed points; Nonlinear equations; Bolzano theorem; Bolzano–Poincaré–Miranda theorem; Brouwer fixed point theorem; Sperner lemma; Knaster–Kuratowski–Mazurkiewicz coveri
Keywords: معادلات غیر خطی; Nonlinear equations; Trust-region framework; Adaptive radius; Nonmonotone technique; Convergence theory
Modified Newton-PSS method to solve nonlinear equations
Keywords: معادلات غیر خطی; Nonlinear equations; Modified Newton-PSS method; Hölder continuous condition;
Duality and nonlinear graph Laplacians
Keywords: معادلات غیر خطی; Graph Laplacian; Spectral analysis; Nonlinear equations; Nonlinear duality;
A note on “Convergence radius of Osada's method under Hölder continuous condition”
Keywords: معادلات غیر خطی; Nonlinear equations; Iterative methods; Multiple roots; Local convergence; Dynamics; 65H05; 65H10;
On the local convergence study for an efficient k-step iterative method
Keywords: معادلات غیر خطی; 47H99; 65H10; Nonlinear equations; Iterative methods; Local convergence; Order of convergence; Efficiency;
Dynamical analysis on cubic polynomials of Damped Traub's method for approximating multiple roots
Keywords: معادلات غیر خطی; Nonlinear equations; Iterative methods; Multiple roots; Complex dynamics; Convergence regions;
A family of higher order iterations free from second derivative for nonlinear equations in R
Keywords: معادلات غیر خطی; 65H05; 65B99; Nonlinear equations; Order of convergence; Asymptotic error; Local convergence analysis; Dynamical study;
Adiabatic invariants of the extended KdV equation
Keywords: معادلات غیر خطی; Shallow water waves; Nonlinear equations; Invariants of KdV2 equation; Adiabatic invariants; Near-identity transformation;
Iterative differential quadrature solutions for Bratu problem
Keywords: معادلات غیر خطی; Nonlinear equations; Bratu equation; Multiple solutions; Differential quadrature;
Third- and fifth-order Newton–Gauss methods for solving nonlinear equations with n variables
Keywords: معادلات غیر خطی; Nonlinear equations; Gauss quadrature formula; Nonlinear ODEs; Finite difference method; Error equations; Fifth-order convergence
Stability study of eighth-order iterative methods for solving nonlinear equations
Keywords: معادلات غیر خطی; Nonlinear equations; Iterative methods; Stability; Parameter space; Basin of attraction
Damped Traub’s method: Convergence and stability
Keywords: معادلات غیر خطی; Nonlinear equations; Iterative methods; Dynamical behavior; Traub’s family; Convergence regions
Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition
Keywords: معادلات غیر خطی; Nonlinear equations; Local convergence; Semilocal convergence; Banach space; Hammerstein integral equation; Hölder condition; 65H10; 47H99;
Higher-order efficient class of Chebyshev–Halley type methods
Keywords: معادلات غیر خطی; Nonlinear equations; Simple roots; Chebyshev–Halley; Extraneous Fixed Points; Basins of attraction65H05
Three-steps modified Levenberg–Marquardt method with a new line search for systems of nonlinear equations
Keywords: معادلات غیر خطی; Nonlinear equations; Levenberg–Marquardt method; Local error bound condition; Line search; Global and biquadratic convergence
Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces
Keywords: معادلات غیر خطی; Nonlinear equations; Local convergence; Banach space; Hammerstein integral equation; Lipschitz condition; Complex dynamics65H10; 47H99
The inexact-Newton via GMRES subspace method without line search technique for solving symmetric nonlinear equations
Keywords: معادلات غیر خطی; Inexact-Newton method; GMRES method; Nonlinear equations; Global convergence
An improved Regula falsi method for finding simple roots of nonlinear equations
Keywords: معادلات غیر خطی; Regula falsi method; Improved Regula falsi method; Nonlinear equations
On the local convergence of a fifth-order iterative method in Banach spaces
Keywords: معادلات غیر خطی; Nonlinear equations; Iterative method; Newton's scheme; Predictor-corrector method; Local convergence;
A modified two steps Levenberg–Marquardt method for nonlinear equations
Keywords: معادلات غیر خطی; Nonlinear equations; Levenberg–Marquardt method; Local error bound condition; Line search
New modifications of Hansen-Patrick's family with optimal fourth and eighth orders of convergence
Keywords: معادلات غیر خطی; Nonlinear equations; Hansen-Patrick method; Multipoint iterative methods; Kung-Traub conjecture; Computational efficiency;
A multidimensional dynamical approach to iterative methods with memory
Keywords: معادلات غیر خطی; Nonlinear equations; Iterative method with memory; Basin of attraction; Dynamical plane; Stability; Bifurcation
Traveling wave solutions of KdVs using sine–cosine method
Keywords: معادلات غیر خطی; Nonlinear equations; Sine–cosine method; Traveling wave solutions; Generalized KdV equation
Note on improvements of order and efficiency in some iterative methods for solving nonlinear equations
Keywords: معادلات غیر خطی; Nonlinear equations; Iterative methods; Order of convergence; Efficiency index; Traub’s result
New traveling wave solutions of Drinefel’d–Sokolov–Wilson Equation using Tanh and Extended Tanh methods
Keywords: معادلات غیر خطی; Nonlinear equations; Tanh method; Extended Tanh method; Traveling wave solutions02.30.Jr; 05.45.Yv; 02.30.Ik
High-order nonlinear Volterra-Fredholm-Hammerstein integro-differential equations and their effective computation
Keywords: معادلات غیر خطی; Nonlinear equations; Volterra-Fredholm-Hammerstein equations; Analytic solution; Galerkin method; Base functions;
Sixth-order modifications of Newton's method based on Stolarsky and Gini means
Keywords: معادلات غیر خطی; Nonlinear equations; Newton's method; Sixth order methods; Gini mean; Stolarsky mean;
Multi-step root solvers of Traub’s type in real interval arithmetic
Keywords: معادلات غیر خطی; Interval arithmetic; Nonlinear equations; Inclusion methods; Multipoint methods; Convergence
On generalized biparametric multipoint root finding methods with memory
Keywords: معادلات غیر خطی; 65H05; Nonlinear equations; Root-finders; Multipoint methods; Convergence acceleration; Computational efficiency;
Convergence analysis of the modified Newton–HSS method under the Hölder continuous condition
Keywords: معادلات غیر خطی; 65F10; 65F50; 65H10Modified Newton–HSS method; Large sparse systems; Nonlinear equations; Hölder continuous condition; Positive-definite Jacobian matrices; Convergence rate
An analytical solution of the MHD Jeffery-Hamel flow by the modified Adomian decomposition method
Keywords: معادلات غیر خطی; Jeffery-Hamel flow; Magnetohydrodynamics; Duan-Rach approach; Adomian decomposition method (ADM); Nonlinear equations;
The Monge–Ampère trajectory correction for semi-Lagrangian schemes
Keywords: معادلات غیر خطی; Semi-Lagrangian schemes; Incompressible flows; Monge–Ampère equation; Nonlinear equations; Newton–Krylov methods; Passive advection; Magnetohydrodynamics; Magnetic reconnection
Multipoint methods for solving nonlinear equations: A survey
Keywords: معادلات غیر خطی; Nonlinear equations; Iterative methods; Multipoint methods; Computational efficiency; Convergence rate; Acceleration of convergence
Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations
Keywords: معادلات غیر خطی; Nonlinear equations; Divided difference; Iterative method; The secant method; Kurchatov's method; Order of convergence; Computational efficiency; Conservative problem;
A note on the priority of optimal multipoint methods for solving nonlinear equations
Keywords: معادلات غیر خطی; Nonlinear equations; Multipoint iterative methods; Optimal methods; Priority; Historical notes
On a Newton–Steffensen type method
Keywords: معادلات غیر خطی; Nonlinear equations; Newton method; Steffensen method; Convergence order
A fast converging method for generating solutions to the Riccati equation
Keywords: معادلات غیر خطی; Riccati equation; Nonlinear equations; Schrödinger equation; Supersymmetric quantum mechanics;
On a family of Halley-like methods to find simple roots of nonlinear equations
Keywords: معادلات غیر خطی; Basin of attraction; Simple roots; Nonlinear equations; Halley method; Euler–Chebyshev method
Derivative-free high-order methods applied to preliminary orbit determination
Keywords: معادلات غیر خطی; Two-body problem; Orbit determination; Derivative-free; Nonlinear equations; Order of convergence; Efficiency index
Convergence of an iterative method for solving a class of nonlinear equations
Keywords: معادلات غیر خطی; Nonlinear equations; Semilocal convergence; Two-phase flow
Chaos in King’s iterative family
Keywords: معادلات غیر خطی; Nonlinear equations; Iterative methods; Dynamical behavior; Quadratic polynomials; Fatou and Julia sets; King’s family
A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations
Keywords: معادلات غیر خطی; Nonlinear equations; Derivative-free iterative methods; Convergence order; Efficiency index; Padé approximant