Heteroclinic Bifurcation Behaviors of a Duffing Oscillator with Delayed Feedback by Shao-Fang Wen, Ju-Feng Chen, Shu-Qi Guo

“…In order to verify the correctness of the analytical conditions, the Duffing oscillator is also investigated by numerical iterative method. The bifurcation curves and the largest Lyapunov exponents are provided and compared. …”
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IRSnet: An Implicit Residual Solver and Its Unfolding Neural Network With 0.003M Parameters for Total Variation Models by Yuanhao Gong

“…To address these issues, this paper first introduces a novel iterative algorithm that is 6 ~ 75 times faster than previous iterative methods. The proposed iterative method converges and converges to the optimal solution. …”
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Analysis of Vibration Control of Nonlinear Beam Using a Time-Delayed PPF Controller by Yueli Chen, Juhong Ge

“…Time delays in the control loop are taken into consideration to study their effects on the controller performance and the stable region. The integral iterative method is conducted to obtain a second-order approximate solution and the corresponding amplitude equations for the considered system. …”
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A Fractional Model for the Dynamics of Smoking Tobacco Using Caputo–Fabrizio Derivative by Belaynesh Melkamu, Benyam Mebrate

“…The solution of the proposed model, which is carried out using a fixed-point theorem and an iterative method, exists and is unique. Furthermore, the model is biologically meaningful, that is, positive and bounded. …”
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Computer simulation of stress-strain states in zygomatic bones after complex installation of implants by Timur Dibirov, Aleksey Drobyshev, Eduard Kharazyan, Nikolay Redko, Egor Pankov, Alexander Kozulin, Sergey Panin, Sergey Arutyunov

“…Based on the results of the FEM-based computer simulation, the algorithm was proposed for planning prosthetic treatment, which involves the iterative method for selecting both size and location of installing zygomatic implants depending on the results of the SSS calculation and the onset of a critical condition (primarily in bone tissue at the contact area with zygomatic implants).…”
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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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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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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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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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A Midcourse Guidance Method Combined with Trajectory Prediction for Antinear-Space-Gliding Vehicles by JiaQing Wan, Qian Zhang, Hao Zhang, JiaNing Liu

“…For the calculation of the starting time of the boost phase, the optimization solution satisfying the remaining flight time constraint is realized based on the Newton-Raphson iterative method. The analytical expression of a guidance command based on zero-error-miss/zero-error-velocity is established on the basis of the optimal control theory to provide an optimal flight path guiding an NSGV fly toward a point of interception. …”
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