Dynamical Techniques for Analyzing Iterative Schemes with Memory by Neha Choubey, A. Cordero, J. P. Jaiswal, J. R. Torregrosa

“…In particular, the R-order of the proposed iterative method with memory is increased from seven to ten. …”
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Stability Analysis and Optimal Control of a Vector-Borne Disease with Nonlinear Incidence by Muhammad Ozair, Abid Ali Lashari, Il Hyo Jung, Kazeem Oare Okosun

“…Analytically the existence of the optimal control is established by the use of an optimal control technique and numerically it is solved by an iterative method. Numerical simulations and optimal analysis of the model show that restricted and proper use of control measures might considerably decrease the number of infected humans in a viable way.…”
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Vibration Characteristic Analysis of a Coupling System for Compound Biaxial and Inter-Shaft Bearings by Kun Li, Hongchang Ding, Guohua Cao, Han Hou

“…Based on the Runge-Kutta iterative method and Hamilton’s principle, the nonlinear amplitude-frequency response of the system is calculated while taking into account the influence of the compound biaxial eccentricity, as well as the stiffness and radial clearance of the inter-shaft bearing. …”
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An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs by Eman S. Alaidarous, Malik Zaka Ullah, Fayyaz Ahmad, A.S. Al-Fhaid

“…The reported method is very general and can be extended to desired order of convergence for highly nonlinear differential equations and also computationally superior to proposed iterative method based on Adomain decomposition because our proposed iterative scheme avoids the calculations of Adomain polynomials and achieves the same computational order of convergence as authors have claimed in Motsa and Sibanda, 2013. …”
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ANALYSIS OF DYNAMIC CHARACTERISTICS OF SPHERICAL HYBRID SLIDING BEARINGS BASED ON ORIFICE THROTTLING (MT) by CHEN YuFei, SHEN JingFeng, ZHOU YiHao

“…Combining with the finite difference method and relaxation iterative method to solve the disturbance pressure control equation which is derived by means of perturbation method. …”
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Analysis and Establishment of the Isothermal Elastohydrodynamic Lubrication Model of the Cylindrical Gear with Arcuate Tooth Trace by Zhou Bo, Hou Li, Wei Yongqiao, Li Bo

“…The cylindrical gear with arcuate tooth trace has advantages of high bearing capacity,high contact strength and steady transmission,etc.But there are also failure modes such as the wear of tooth surface,pitting and scuffing when it drives,it is mainly because of the bad lubricating condition.So ensuring that it is always in good lubricity would be critical.After analyzing the meshing contact process of cylindrical gears with arcuate tooth trace,the contact model of gears is simplified.Based on the elastohydrodynamic lubrication theory,the physical and mathematical model of isothermal elastohydrodynamic lubrication for the cylindrical gear with arcuate tooth trace are established.Through the direct iterative method and Fortran procedure,the numerical solution of the model is solved and the characteristic curves of oil film are got.The influences that entrainment velocity,load and viscidity bring to lubrication characters of the cylindrical gear with arcuate tooth trace are analyzed and compared.The results show the entrainment velocity is the most important cause for the oil film thickness,the viscidity has important influences both on the oil film pressure and thickness,and the load influences less relative to other two factors.Besides,using the oil film thickness ratio,the lubrication state of gears could be estimated,which helps keeping gears approach the elastohydrodynamic lubrication state when designing.…”
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Adaptive bandwidth allocation algorithm based on the multi-threshold reservation mechanism by Geng CHEN, Wei-wei XIA, Lian-feng SHEN

“…An adaptive bandwidth allocation algorithm based on multi-threshold reservation mechanism is proposed to guarantee the quality of service (QoS) of multi-services in heterogeneous wireless networks.With the bandwidth reserva-tion mechanism by setting multi-threshold in each network for every traffic,the adaptive bandwidth allocation scheme according to the transmission rate levels requirements for traffic k and the network status can be formulated as an optimal problem with the constraints of the bandwidth allocation matrix for each traffic and all users based on the multi-homing technology.A procedure of the iterative method is presented to solve the optimal problem of the formulated adaptive bandwidth allocation scheme.The optimized bandwidth allocation matrixes for traffics and for all users are obtained for the real-time network throughput maximization under bandwidth reserving thresholds and network capacity constrains and the bandwidth resource utilization efficiency of heterogeneous wireless network can be increased.Numerical simula-tion results show that the proposed algorithm can support QoS requiring transmission rate grades,decrease the new call blocking probability,increase the average user access rate and improve the network throughput of the heterogeneous wireless network by 40% to the largest extent.…”
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A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors by Abdelfatah Kouidere, Abderrahim Labzai, Hanane Ferjouchia, Omar Balatif, Mostafa Rachik

“…Pontryagin’s maximum principle is used to characterize the optimal controls, and the optimality system is solved by an iterative method. Finally, some numerical simulations are performed to verify the theoretical analysis using MATLAB.…”
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Extending FABRIK with Obstacle Avoidance for Solving the Inverse Kinematics Problem by Songqiao Tao, Huajin Tao, Yumeng Yang

“…Since forward and backward teaching inverse kinematics (FABRIK) is a forward and backward iterative method that finds updated joint positions by locating a point on a line instead of using angle rotations or matrices, it has the advantages of fast convergence, low computational cost, and visualizing realistic poses. …”
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Cooperative spectrum sensing scheme based on crowd trust and decision-making mechanism by Xiao-mao WANG, Chuan-he HUANG, Yi-long LV, Bin WANG, Xi-ying FAN, Hao ZHOU

“…A distributed consensus-based scheme by simulating the crowd trust and decision-making mechanism was proposed.This scheme firstly predicts the dynamic trust value among sensing users by the previous cooperative process,and then generates the user's relative trust value,and makes the data interaction among the users by using the combination of relative trust value and decision-making mechanism.All users' state can reach a consensus as the credible and iterative data interaction.All users get the final results by the determinant algorithm.This new spectrum sensing scheme utilizes the imbalance of each users' sensing ability in the real environment.Each secondary user can maintain cooperation with others only through the local information exchange with the neighbors.It is quite different from traditional spectrum sensing scheme,such as OR-rule,1-out-of-N rule and ordinary iterative method.Three SSDF attacks were analysed,on the basis of the corresponding anti-attack policy was proposed.Theoretical analysis and simulation results show that the new scheme is better than the existing cooperative spectrum sensing algorithm in accuracy and security.New scheme not only can improve the accuracy of spectrum sensing but also has the strong anti-attack capability.…”
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Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition by Hang Jin, Jianhui Lin, Xieqi Chen, Cai Yi

“…This paper proposes a novel method of structural system modal identification, where the iterative method is introduced in symplectic geometric model decomposition (SGMD). …”
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Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method by Indranil Ghosh, M. S. H. Chowdhury, Suazlan Mt Aznam, M. M. Rashid

“…In the present study, the new iterative method (NIM) was applied to the lake pollution model with three cases called impulse input, step input, and sinusoidal input for a longer time span. …”
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Seismic Waveform Inversion Using the Finite-Difference Contrast Source Inversion Method by Bo Han, Qinglong He, Yong Chen, Yixin Dou

“…The contrast source inversion method is a nonlinear iterative method that alternatively reconstructs contrast sources and contrast function. …”
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Phase-Only Antenna Array Reconfigurability with Gaussian-Shaped Nulls for 5G Applications by Giulia Buttazzoni, Massimiliano Comisso, Federico Ruzzier, Roberto Vescovo

“…This paper presents a fast iterative method for the synthesis of linear and planar antenna arrays of arbitrary geometry that provides pattern reconfigurability for 5G applications. …”
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Study on Internal Force of Tunnel Segment by Considering the Influence of Joints by Linwei Dong, Zhiyong Yang, Zhenyong Wang, Yaowen Ding, Weiqiang Qi

“…According to the spline interpolation results of the load test data of the segment joints, the internal force of the segment component under an external load is solved by the iterative method.…”
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Optimal nutritional intake for fetal growth by Chanakarn Kiataramkul, Graeme Wake, Alona Ben-Tal, Yongwimon Lenbury

“…The optimality system is derived and then solved numerically using an iterative method for the specific values of parameter. …”
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Analytical method for calculating losses in overhead lines of electric power systems taking into account changes in load and weather conditions by E. V. Petrova

“…The results of calculating the temperature and active power losses by the proposed method, the least squares method and the iterative method are presented. The high accuracy of the coincidence of the results obtained by various methods is noted.…”
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Modeling and Analysis of Thermal Elastohydrodynamic Lubrication Characteristic of Asymmetric Gear with a Small Number of Teeth by Deng Xianzhi

“…For solving EHL equations by overrelaxation iterative method,the thermal elastohydrodynamic lubrication characteristics in asymmetric gear with a small number of teeth meshing line of five special points are got,the change regulation of pressure angle,variable coefficient,between the load and the speed and the oil film thickness,pressure and temperature are analyzed. …”
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Analysis of the Influence of Transmission Housing Elasticity on the Vibration Characteristics of Gear Shafting under Coupling Effect by Hanlin Huang, Shengping Fu, Shanming Luo

“…Furthermore, the gear shafting vibration characteristics considering housing deformations are obtained by integrating multisource dynamic excitation, which is solved using an iterative method. The results are verified through a bench test. …”
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Resource allocation scheme for IRS assisted heterogeneous SWIPT-NOMA system by JI Wei, LIU Ziqing

“…In order to solve the non-convex problem, an alternating iterative method based on successive convex approximation was used to split the problem into multiple sub-problems. …”
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