Applications of Normal S-Iterative Method to a Nonlinear Integral Equation by Faik Gürsoy

“…It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. …”
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A Higher Order Iterative Method for Computing the Drazin Inverse by F. Soleymani, Predrag S. Stanimirović

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Fracture and Fatigue Analyses of Cracked Structures Using the Iterative Method by Longgang Tian, Ziling Cheng

“…To precisely and efficiently study crack problems in practical engineering, an iterative method is developed in this study. The overall structure which contains no crack is analyzed by the traditional finite element method (FEM), and the crack itself is analyzed using analytical solution or other numerical solutions which are effective and efficient for solving crack problems. …”
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Comment on “Variational Iteration Method for Fractional Calculus Using He’s Polynomials” by Ji-Huan He

“…This note concludes that the method is a modified variational iteration method using He’s polynomials. A standard variational iteration algorithm for fractional differential equations is suggested.…”
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New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations by Mohamed S. Al-luhaibi

“…Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations.…”
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Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases by Gauhar Ali, Ghazala Nazir, Kamal Shah, Yongjin Li

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Some Iterative Methods for Solving Nonconvex Bifunction Equilibrium Variational Inequalities by Muhammad Aslam Noor, Khalida Inayat Noor, Saira Zainab

“…We suggest and analyze some iterative methods for solving the nonconvex bifunction equilibrium variational inequalities using the auxiliary principle technique. …”
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A New Iterative Method for Finding Approximate Inverses of Complex Matrices by M. Kafaei Razavi, A. Kerayechian, M. Gachpazan, S. Shateyi

“…This paper presents a new iterative method for computing the approximate inverse of nonsingular matrices. …”
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New Iteration Methods for Time-Fractional Modified Nonlinear Kawahara Equation by Abdon Atangana, Necdet Bildik, S. C. Oukouomi Noutchie

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Convergence of Variational Iteration Method for Second-Order Delay Differential Equations by Hongliang Liu, Aiguo Xiao, Lihong Su

“…This paper employs the variational iteration method to obtain analytical solutions of second-order delay differential equations. …”
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He's Variational Iteration Method for Solving Fractional Riccati Differential Equation by H. Jafari, H. Tajadodi

“…We will consider He's variational iteration method for solving fractional Riccati differential equation. …”
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Two Optimal Eighth-Order Derivative-Free Classes of Iterative Methods by F. Soleymani, S. Shateyi

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Efficient Iterative Methods with and without Memory Possessing High Efficiency Indices by T. Lotfi, F. Soleymani, Z. Noori, A. Kılıçman, F. Khaksar Haghani

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Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations by Vasile Marinca, Nicolae Herişanu

“…We apply an analytical method called the Optimal Parametric Iteration Method (OPIM) to multispecies Lotka-Volterra equations. …”
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Frozen Jacobian Multistep Iterative Method for Solving Nonlinear IVPs and BVPs by Fayyaz Ahmad, Shafiq Ur Rehman, Malik Zaka Ullah, Hani Moaiteq Aljahdali, Shahid Ahmad, Ali Saleh Alshomrani, Juan A. Carrasco, Shamshad Ahmad, Sivanandam Sivasankaran

“…The convergence order of the proposed iterative method is 5m-11, where m is the number of steps. …”
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A New Iterative Method for Equilibrium Problems and Fixed Point Problems by Abdul Latif, Mohammad Eslamian

“…We establish strong convergence theorems of the new iterative method for the solution of the variational inequality problem which is the optimality condition for the minimization problem. …”
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He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective by Behrouz Raftari

“…The variational iteration method (VIM) for determining periodic solutions of non-linear jerk equations involving third-order time-derivative is presented. …”
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New Iterative Method: An Application for Solving Fractional Physical Differential Equations by A. A. Hemeda

“…The new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. …”
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Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces by Yakov Alber, Simeon Reich, Jen-Chih Yao

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Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces by Abhimanyu Kumar, Dharmendra K. Gupta, Eulalia Martínez, Sukhjit Singh

“…The semilocal and local convergence analyses of a two-step iterative method for nonlinear nondifferentiable operators are described in Banach spaces. …”
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