A New High-Order Jacobian-Free Iterative Method with Memory for Solving Nonlinear Systems by Ramandeep Behl, Alicia Cordero, Juan R. Torregrosa, Sonia Bhalla

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Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings by Habtu Zegeye, Abebe Regassa Tufa

“…Abstract In this paper, we define a Halpern–Ishikawa type iterative method for approximating a fixed point of a Lipschitz pseudocontractive non-self mapping T in a real Hilbert space settings and prove strong convergence result of the iterative method to a fixed point of T under some mild conditions. …”
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Derivative-Free Kurchatov-Type Accelerating Iterative Method for Solving Nonlinear Systems: Dynamics and Applications by Xiaofeng Wang, Xiaohe Chen

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Efficient hybrid group iterative methods in the solution of two-dimensional time fractional cable equation by Fouad Mohammad Salama, Norhashidah Hj. Mohd. Ali, Nur Nadiah Abd Hamid

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Analytical approximate solution of time-fractional Fornberg–Whitham equation by the fractional variational iteration method by Birol İbiş, Mustafa Bayram

Subjects: “…Fractional variational iteration method (FVIM)…”
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A preconditioned iterative method for coupled fractional partial differential equation in European option pricing by Wu Shuang, Chou Lot-Kei, Chen Xu, Lei Siu-Long

“…Besides, the resulting linear system is solved using an iterative method, and a preconditioner is proposed to accelerate the rate of convergence. …”
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Derivative-Free Families of With- and Without-Memory Iterative Methods for Solving Nonlinear Equations and Their Engineering Applications by Ekta Sharma, Sunil Panday, Shubham Kumar Mittal, Dan-Marian Joița, Lavinia Lorena Pruteanu, Lorentz Jäntschi

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Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations by Alicia Cordero, Arleen Ledesma, Javier G. Maimó, Juan R. Torregrosa

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A superlinear iteration method for calculation of finite length journal bearing's static equilibrium position by Wenjie Zhou, Xuesong Wei, Leqin Wang, Guangkuan Wu

“…Essentially, the Reynolds equation for stable motion is solved by the finite difference method and the inner pressure is obtained by the successive over-relaxation iterative method reinforced by the compound Simpson quadrature formula. …”
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Zenali Iteration Method For Approximating Fixed Point of A δZA - Quasi Contractive mappings by Zena Hussein Maibed, Ali Qasem Thajil

“…This article will introduce a new iteration method called the zenali iteration method for the approximation of fixed points. …”
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A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation by Yuhan Chen, Chenliang Li

“…In this paper, a tensor splitting AOR iterative method for solving the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="script">H</mi><mo>+</mo></msup></semantics></math></inline-formula>-tensor absolute value equation is presented. …”
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TUBING SYSTEM PERFORMANCE PROFILING OF DRY GAS WELLS USING NEWTON RAPHSON ITERATION METHOD by CHINEDU WILFRED OKOLOGUME, ROTIMI OMONUSI

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An evaluation of multispecies population dynamics models through numerical simulations using the new iterative method by Indranil Ghosh, Muhammad Mahbubur Rashid, Shukranul Mawa

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Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation by R. Darzi, A. Neamaty

“…We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. …”
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Stability analysis of fourth-order iterative method for finding multiple roots of non-linear equations by Cordero Alicia, Jaiswal Jai P., Torregrosa Juan R.

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Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus by Ioannis K. Argyros, George A. Anastassiou

Subjects: “…iterative method…”
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A Mixed Iteration Method to Determine the Linear Material Parameters in the Study of Creep Behavior of the Composites by Mostafa Katouzian, Sorin Vlase, Maria Luminița Scutaru

“…This paper presents and applies a mixed iteration method to determine the nonlinear parameters of the material used to study a composite’s creep behavior. …”
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Approximating Fixed Points and the Solution of a Nonlinear Fractional Difference Equation via an Iterative Method by Faizan Ahmad Khan

“…We prove that the new iterative method is stable for contraction and has a better rate of convergence than some distinctive iterative methods. …”
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Non-stationary Parallel Multisplitting Two-Stage Iterative Methods with Self-AdaptiveWeighting Schemes by GuoYan Meng, Chuan Long Wang, Xi Hong Yan, Qing Shan Zhao

“…In this paper, we study the non-stationary parallel multisplitting two-stage iterative methods with selfadaptive weighting matrices for solving a linear system whose coefficient matrix is symmetric positive definite. …”
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RELIABLE ITERATIVE METHODS FOR SOLVING 1D, 2D AND 3D FISHER’S EQUATION by Othman Mahdi Salih, Majeed AL-Jawary

Subjects: “…Fisher’s equation, Iterative methods, Exact solution, Numerical solutions and Maximum error remainder…”
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