Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation by H. Nouriani, R. Ezzati

“…In this study, at first, we propose a new approach based on the two-dimensional fuzzy Lagrange interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE). …”
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Global Stability of a Discrete Mutualism Model by Kun Yang, Xiangdong Xie, Fengde Chen

“…By using the linear approximation method, the local stability of the interior equilibrium of the system is investigated. By using the iterative method and the comparison principle of difference equations, sufficient conditions which ensure the global asymptotical stability of the interior equilibrium of the system are obtained. …”
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Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain by Guotao Wang, Sanyang Liu, Lihong Zhang

“…By employing the monotone iterative method, this paper not only establishes the existence of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain, but also develops two computable explicit monotone iterative sequences for approximating the two positive solutions. …”
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Convergence Theorems for Infinite Family of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces by Aunyarat Bunyawat, Suthep Suantai

“…We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping {Ti} in a uniformly convex Banach space. …”
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Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method by Wenjing Yan, Jian Su, Feifei Jing

“…This allows the investigation of iterative method for the ill-posed problem. By the parametric method, a regularized Gauss-Newton scheme is employed to the shape inverse problem. …”
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Partial Differential Equations in Zero-Sum Differential Game and Applications on Coronavirus by Abd El-Monem A. Megahed, H. F. A. Madkour

“…We used analytical methods, the Homotopy Perturbation Method and New Iterative Method, for solving the partial differential equation. …”
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Look-up table predistorter based on non-iterative algorithm and indirect learning architecture for TWTA by WANG Yong1, XIANG Xin1, 2

“…Based on look-up table （LUT） and indirect learning architecture, a baseband predistorter was proposed for travel wave tube amplifier （TWTA）. Non-iterative method for capturing parameters of the predistorter was realized by the means of linear increasing periodic training sequence and distortion estimation algorithm. …”
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Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type by Iryna Komashynska, Mohammed AL-Smadi

“…We present an efficient iterative method for solving a class of nonlinear second-order Fredholm integrodifferential equations associated with different boundary conditions. …”
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Adaptive weighted progressive iterative approximation based on coordinate decomposition. by Yushi Liu, Yan Wang, Chengzhi Liu

“…During the iteration, the weight coefficients are flexibly adjusted based on the error of the current iteration step, demonstrating the flexibility and precision of the geometric iterative method in addressing geometric approximation problems. …”
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A New Iterative Algorithm for General Variational Inequality Problem with Applications by Aysha Khan, M. Akram, M. Dilshad, J. Shafi

“…Using this newly proposed iterative method, we estimate the common solution of generalized variational inequality problem and fixed points of a nonexpansive mapping. …”
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Iterative solutions of K-positive definite operator equations in real uniformly smooth Banach spaces by Zeqing Liu, Shin Min Kang, Jeong Sheok Ume

“…Under suitable conditions we establish that the iterative method by Bai (1999) converges strongly to the unique solution of the equation Tx=f, f∈X. …”
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Analysis of Meshing Characteristic and Return Clearance of Precision Cycloid Transmission for Robot by Zhang Liyong, Zhou Hongkai, Wang Changlu, Qiao Xuetao

“…The influence of different tooth modification methods on the number of meshing teeth,force and distortion of each mesh point and the return clearance of cycloid transmission is calculated through iterative method. Furthermore,the influence of the load on the meshing characteristic is analyzed,and the stiffness curve of the cycloid transmission is obtained with the increase of load. …”
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Geometrically Constructed Families of Newton's Method for Unconstrained Optimization and Nonlinear Equations by Sanjeev Kumar, Vinay Kanwar, Sushil Kumar Tomar, Sukhjit Singh

“…One-parameter families of Newton's iterative method for the solution of nonlinear equations and its extension to unconstrained optimization problems are presented in the paper. …”
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A Numerical Method for Computing the Principal Square Root of a Matrix by F. Soleymani, S. Shateyi, F. Khaksar Haghani

“…It is shown how the mid-point iterative method with cubical rate of convergence can be applied for finding the principal matrix square root. …”
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Adaptive iterative bit allocation algorithm for MIMO-OFDM system by FAN Ling-yan1, HE Chen2, FENG Guo-rui3

“…The adaptive iterative modulation was proposed for multiple-input-multiple-output-orthogonal frequency divi-sion multiplexed（MIMO-OFDM） system.An adaptive minimum transmit power modulation scheme under constant data rate and fixed bit error rate（BER） for the MIMO-OFDM system was proposed to adjust the modulation order and allo-cates the transmit power to each spatial sub-channel by iterative method considering the requirement of the practical communication system.It can meet the user’s requirements and get better freguency efficiency at the cost of minimum transmission power.And it can avoid the error by round the modulation order.Computer simulation results present the ef-ficiency of the proposed scheme.…”
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Analysis of Elastohydrodynamic Lubrication Characteristic of the Roller Enveloping Hourglass Worm Drive by Taoran Zhang, Lingyu Li

“…The elastohydrodynamic lubrication of drive pair is solved by using direct iterative method， the curves of oil film pressure and thickness of this drive pair are obtained. …”
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Strong Convergence of an Inertial Iterative Algorithm for Generalized Mixed Variational-like Inequality Problem and Bregman Relatively Nonexpansive Mapping in Reflexive Banach Spac... by Saud Fahad Aldosary, Watcharaporn Cholamjiak, Rehan Ali, Mohammad Farid

“…Furthermore, we introduce and study an inertial hybrid iterative method for solving the generalized mixed variational-like inequality problem involving Bregman relatively nonexpansive mapping in Banach space. …”
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Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions by Min Li, Jian-Ping Sun, Ya-Hong Zhao

“…By applying the monotone iterative method and some inequalities associated with Green’s function, we obtain the existence of minimal and maximal positive solutions and establish two iterative sequences for approximating the solutions to the above problem. …”
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A Viscosity Approximation Scheme for Finding Common Solutions of Mixed Equilibrium Problems, a Finite Family of Variational Inclusions, and Fixed Point Problems in Hilbert Spaces by Bin-Chao Deng, Tong Chen, Baogui Xin

“…We introduce an iterative method for finding a common element of set of fixed points of nonexpansive mappings, the set of solutions of a finite family of variational inclusion with set-valued maximal monotone mappings and inverse strongly monotone mappings, and the set of solutions of a mixed equilibrium problem in Hilbert spaces. …”
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A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations A1XB1=C1, A2XB2=C2 by Aijing Liu, Guoliang Chen, Xiangyun Zhang

“…We propose a new iterative method to find the bisymmetric minimum norm solution of a pair of consistent matrix equations A1XB1=C1, A2XB2=C2. …”
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