Two-Level Brezzi-Pitkäranta Stabilized Finite Element Methods for the Incompressible Flows by Rong An, Xian Wang

“…We also propose a new Newton correction scheme based on the above two-level iteration methods. Finally, some numerical experiments are given to support the theoretical results and to check the efficiency of these two-level iteration methods.…”
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Comparison Theorems of Spectral Radius for Splittings of Matrices by Cui-Xia Li, Su-Hua Li

“…A class of the iteration method from the double splitting of coefficient matrix for solving the linear system is further investigated. …”
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A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems by Mohammad Hossein Daliri Birjandi, Jafar Saberi-Nadjafi, Asghar Ghorbani

“…An efficient iteration method is introduced and used for solving a type of system of nonlinear Volterra integro-differential equations. …”
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Iterative reconstruction of medical phantoms on the computing cluster of EAGLE by S. A. Zolotarev, T. A. Taruat, E. G. Bilenko

“…Now one of the most important tasks is development and adaptation of iterative methods for the solution of the superbig rarefied systems of the algebraic equations. …”
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Computational Methods for Solving Linear Fuzzy Volterra Integral Equation by Jihan Hamaydi, Naji Qatanani

“…Two numerical schemes, namely, the Taylor expansion and the variational iteration methods, have been implemented to give an approximate solution of the fuzzy linear Volterra integral equation of the second kind. …”
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Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities by Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said

“…Convergence of these iterative methods is proved under very mild and suitable assumptions. …”
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Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary Conditions by Rong An, Xian Wang

“…Combining the techniques of two-level discretization method, we propose two-level Newton iteration method and show the stability and error estimate. …”
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On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative by Mehmet Merdan

“…Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. …”
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A Study on the Convergence Analysis of the Inexact Simplified Jacobi–Davidson Method by Jutao Zhao, Pengfei Guo

“…The Jacobi–Davidson iteration method is very efficient in solving Hermitian eigenvalue problems. …”
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Some Aspects of Extended General Variational Inequalities by Muhammad Aslam Noor

“…The main motivation of this paper is to review some aspects of these variational inequalities including the iterative methods and sensitivity analysis. We expect that this paper may stimulate future research in this field along with novel applications.…”
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Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media by Piyush R. Mistry, Vikas H. Pradhan, Khyati R. Desai

“…An approximate analytical solution of the governing nonlinear partial differential equation is obtained using variational iteration method with the use of Mathematica software.…”
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An Analytical Study on Two High-Order Hybrid Methods to Solve Systems of Nonlinear Equations by Hooman Darvishi, M. T. Darvishi

“…In order to solve systems of nonlinear equations, two novel iterative methods are presented. The successive over-relaxation method and the Chebyshev-like iterative methods to solve systems of nonlinear equations have combined to obtain the new algorithms. …”
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VIM for Solving the Pollution Problem of a System of Lakes by J. Biazar, M. Shahbala, H. Ebrahimi

“…This comparison reveals that the variational iteration method is easier to be implemented.…”
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Numerical Algorithms for Finding Zeros of Nonlinear Equations and Their Dynamical Aspects by Amir Naseem, M. A. Rehman, Thabet Abdeljawad

“…Several numerical examples have been solved which prove the better efficiency of these algorithms as compared to other well-known iterative methods of the same kind. Finally, the comparison of polynomiographs generated by other well-known iterative methods with our developed algorithms has been made which reflects their dynamical aspects.…”
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Optimization of Analytical Reconstruction Algorithms for Arbitrary CBCT Trajectory Using Deep Learning by Yuzhong Zhou, Linda-Sophie Schneider, Yipeng Sun, Andreas K. Maier

“…Although iterative methods are a common solution, they require substantial computational time and resources. …”
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Approximating fixed points of λ-firmly nonexpansive mappings in Banach spaces by Gang-Eun Kim

“…We study the convergence of the Ishikawa iteration methods to fixed points for the result of Smarzewski (1991). …”
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Bound-State Solution of s-Wave Klein-Gordon Equation for Woods-Saxon Potential by Eser Olğar, Haydar Mutaf

“…The bound-state solution of s-wave Klein-Gordon equation is calculated for Woods-Saxon potential by using the asymptotic iteration method (AIM). The energy eigenvalues and eigenfunctions are obtained for the required condition of bound-state solutions.…”
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On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3 by Melike Karta, Ercan Çelik

“…Numerical solution of differential-algebraic equations with Hessenberg index-3 is considered by variational iteration method. We applied this method to two examples, and solutions have been compared with those obtained by exact solutions.…”
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The Hybrid Steepest Descent Method for Split Variational Inclusion and Constrained Convex Minimization Problems by Jitsupa Deepho, Poom Kumam

“…We introduced an implicit and an explicit iteration method based on the hybrid steepest descent method for finding a common element of the set of solutions of a constrained convex minimization problem and the set of solutions of a split variational inclusion problem.…”
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An improved geometric algorithm for indoor localization by Junhua Yang, Yong Li, Wei Cheng

“…Comparing to trilateration, fingerprint, and maximum-likelihood method, the bilateral greed iteration method improves the localization accuracy and reduces complexity of localization process. …”
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