A Family of Optimal Eighth Order Iteration Functions for Multiple Roots and Its Dynamics by Saima Akram, Faiza Akram, Moin-ud-Din Junjua, Misbah Arshad, Tariq Afzal

“…In this manuscript, we present a new general family of optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity using weight functions. …”
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Optimal Control through Leadership of the Cucker and Smale Flocking Model with Time Delays by Adsadang Himakalasa, Suttida Wongkaew

“…Furthermore, the Runge–Kutta discretization method and the nonlinear conjugate gradient method are employed to solve the discrete optimality system. …”
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The Influence of the Track Parameters on Vibration Characteristics of Subway Tunnel by Wenbo Shi, Linchang Miao, Junhui Luo, Honglei Zhang

“…In soft soil areas, such as the Nanjing, it is very important to quantitatively analyze the dynamic behaviors of soft soils during the metro train operation. A nonlinear coupling model of wheel-track and a finite element calculation model of tunnel and soil were established based on the mechanical character of elastic supporting block ballastless track and the actual parameters of Nanjing soft soil. …”
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On viable therapy strategy for a mathematical spatial cancer model describing the dynamics of malignant and healthy cells by Alexander S. Bratus, Svetlana Yu. Kovalenko, Elena Fimmel

“…The mathematical model considered consists of three nonlinear parabolic partial differential equations which describe spatial dynamics of malignant cells as well as healthy ones, and of the concentration of the drug. …”
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Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model by Fabien Crauste

“…We analyze the asymptotic stability of a nonlinear system of two differential equations with delay,describing the dynamics of blood cell production. …”
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Velocity Control for Coning Motion Missile System Using Direct Discretization Method by Rui-sheng Sun, Chao Ming

“…By using a direct discretization method to transform the optimal control problem into a nonlinear dynamic programming problem, the optimal trajectory and velocity profile are obtained to satisfy the design index requirement. …”
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Improved sliding mode temperature control of hydrogen fuel cells for multirotor drones by Qi Wu, Yong Zhang, Tingting Ru, Chenxiao Cai

“…The study focuses on constructing a control-oriented nonlinear thermal model, which serves as a foundation for the subsequent development of a practical temperature regulation approach. …”
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Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations by Fu Zhang, Jian-ming Qi, Wen-jun Yuan

“…The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all constant and simply periodic traveling wave exact solutions of the equations (DS) are solitary wave solutions, the complex method is simpler than other methods and there exist simply periodic solutions vs,3(z) which are not only new but also not degenerated successively by the elliptic function solutions. …”
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Free Vibrations with Large Amplitude of Axially Loaded Beams on an Elastic Foundation Using the Adomian Modified Decomposition Method by Desmond Adair, Askar Ibrayev, Alima Tazabekova, Jong R. Kim

“…Important to the use of the Adomian modified decomposition method is the treatment of the nonlinear Fredholm integral coefficient, which forms part of the governing equation. …”
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Two Optimal Eighth-Order Derivative-Free Classes of Iterative Methods by F. Soleymani, S. Shateyi

“…Due to this, the main aim of this paper is to attain as high as possible of local convergence order by using fixed number of (functional) evaluations to find efficient solvers for one-variable nonlinear equations, while the procedure to achieve this goal is totally free from derivative. …”
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Cournot–Bertrand Duopoly Model: Dynamic Analysis Based on a Computed Cost by S. S. Askar, Ahmed M. Alshamrani

“…In this paper, some mathematical properties and dynamic investigations of a Cournot–Bertrand duopoly game using a computed nonlinear cost are studied. The game is repeated and its evolution is presented by noninvertible map. …”
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Bundle Pricing Decisions for Fresh Products with Quality Deterioration by Yan Fang, Yiping Jiang, Xingxing Han

“…The value of fresh products with quality deterioration is approximated as an exponential function based on which customer’s reservation prices are calculated. A nonlinear mixed integer programming model is used to formulate the bundle pricing problem for fresh products. …”
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Compressive Strength Prediction of Self-Compacting Concrete-A Bat Optimization Algorithm Based ANNs by Amir Andalib, Babak Aminnejad, Alireza Lork

“…This article examines the feasibility of using bat-trained artificial neural networks (ANNs) to predict the compressive strength of self-compacting concrete (SCC). The nonlinear behavior of SCC challenges traditional modeling techniques. …”
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Complexity: Frontiers in Data-Driven Methods for Understanding, Prediction, and Control of Complex Systems 2022 on the Development of Information Theoretic Model Selection Criteria... by Andrea Murari, Michele Lungaroni, Riccardo Rossi, Luca Spolladore, Michela Gelfusa

“…On the other hand, particularly in the investigation of complex systems and nonlinear phenomena, discriminating between alternative models can be a very challenging task. …”
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Effect of Couple-Stress on Peristaltic Transport of Sutterby Fluid in an Asymmetric Channel by Asmaa Mohammed, Liqaa Zeki Hummady

“…In flow analysis, assumptions such as long wavelength approximation and low Reynolds number are used. The resulting nonlinear equation was numerically solved using the perturbation method. …”
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Comparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and Methods by Gbeminiyi Musibau Sobamowo, Suraju Aremu Oladosu, Rafiu Olalekan Kuku, Antonio Marcos de Oliveira Siqueira

“…It is hoped that the present work will serve as the basis of verifications of the other works on the nonlinear thermal analysis of the extended surface. …”
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Unsteady MHD Mixed Convection Flow of Chemically Reacting Micropolar Fluid between Porous Parallel Plates with Soret and Dufour Effects by Odelu Ojjela, N. Naresh Kumar

“…A suitable similarity transformation is used to reduce the governing partial differential equations into nonlinear ordinary differential equations and then solved numerically by the quasilinearization method. …”
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Vehicle Type Recognition Algorithm Based on Improved Network in Network by Erxi Zhu, Min Xu, De Chang Pi

“…For the high efficiency of the multilayer perceptive layer of Network in Network (NIN), the nonlinear features of local receptive field images can be extracted. …”
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Study on the Damping Mechanism of the Shrouded Blade considering Contact Features by Chaofeng Li, Tao Li, Ruihuan Qiao, Bangchun Wen

“…The results demonstrate that the damping effect of the shroud by contact is more obvious than by friction and the amplitude-frequency curve of the shrouded blade shows a strong hard nonlinear phenomenon.…”
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Coal Reservoir Characterization in a Tectonic Setting and the Effects of Tectonism on the Coalbed Methane (CBM) Content by Zhenni Ye, Enke Hou, Zhonghui Duan, Zengjiang Li

“…The correlation dimension is an effective indicator of the nonlinear relationship between reservoir micropore-microfracture characteristics and the gas content.…”
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