Some Novel Sixth-Order Iteration Schemes for Computing Zeros of Nonlinear Scalar Equations and Their Applications in Engineering by M. A. Rehman, Amir Naseem, Thabet Abdeljawad

“…In this paper, we propose two novel iteration schemes for computing zeros of nonlinear equations in one dimension. We develop these iteration schemes with the help of Taylor’s series expansion, generalized Newton-Raphson’s method, and interpolation technique. …”
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CyberUnits Bricks: An Implementation Study of a Class Library for Simulating Nonlinear Biological Feedback Loops by Johannes W. Dietrich, Nina Siegmar, Jonas R. Hojjati, Oliver Gardt, Bernhard O. Boehm

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Unbalance Response Prediction for Rotors on Ball Bearings Using Speed- and Load-Dependent Nonlinear Bearing Stiffness by David P. Fleming, J. V. Poplawski

“…Rolling-element bearing forces vary nonlinearly with bearing deflection. Thus, an accurate rotordynamic analysis requires that bearing forces corresponding to the actual bearing deflection be utilized. …”
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Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation by A. I. Aristov

Subjects: “…nonlinear partial equation…”
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Finite-Time Adaptive Control of Nonstrict-Feedback Nonlinear Systems With Time-Varying Full State Constraints by Jiahuan Lv, Rui Zhang, Junmin Li, Jianmin Jiao, Yuan Cheng, Xuejie Yang

“…This paper proposes a finite-time adaptive tracking fuzzy control approach for nonlinear nonstrict-feedback systems with unknown disturbances and time-varying full state constraints. …”
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Nonlinear stability of a heterogeneous state in a PDE-ODE model for acid-mediated tumor invasion by Youshan Tao, J. Ignacio Tello

“…Under appropriate assumptions on modelparameters and on initial data, it is shown that the uniqueheterogeneous state is nonlinearly stable, which implies a long-term coexistence of the healthy and tumor cells in certainparameter space. …”
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Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method by Shailesh A. Bhanotar, Mohammed K. A. Kaabar

“…In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. …”
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Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem by S. A. Mohiuddine, Anupam Das, Abdullah Alotaibi

“…Keeping one of these theorems into our account, we study the existence of solutions of system of nonlinear integral equations in the setting of tempered sequence space. …”
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Performance of a Nonlinear Real-Time Optimal Control System for HEVs/PHEVs during Car Following by Kaijiang Yu, Junqi Yang

“…Computer simulation results are shown among the nonlinear real-time optimal control approach and the ADVISOR rule-based approach. …”
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Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model by Naher Mohammed A. Alsafri, Hamad Zogan

“…Using a wave transformation, the employed transformative technique first converts GZK-BBME to a nonlinear ordinary differential equation (NODE). With the incorporation of the Riccati equation, a close-form solution is then assumed for the resultant NODE by RMESEM, which converts the NODE into a set of algebraic equations. …”
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Learning Innovations Through Exploration and Exploitation in Russian Regions: A Nonlinear Panel Data Interaction Model by Yegor Leonidovich Domnich

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3D convolutional deep learning for nonlinear estimation of body composition from whole body morphology by Isaac Y. Tian, Jason Liu, Michael C. Wong, Nisa N. Kelly, Yong E. Liu, Andrea K. Garber, Steven B. Heymsfield, Brian Curless, John A. Shepherd

“…We trained and tested linear and nonlinear models with ablation studies on a novel ensemble body shape dataset containing 4286 scans. …”
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LUneXt: Simple and Efficient U-shaped Network Design for Medical Image Segmentation with Nonlinear Activation by Guanghong Deng, Bing Yu, Wenlong Jing, Yong Li, Xiaodan Zhao

“…This paper proposes a new LUneXt medical image segmentation model based on the characteristics analysis of medical image data sets and testing of different nonlinear activation units. Both normalized activations for the original negative input image activation have good optimization capabilities for the tokenization module parameters proposed in the original UneXt model. …”
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A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone by Hongchun Sun, Yiju Wang

“…We revisit the global error bound for the generalized nonlinear complementarity problem over a polyhedral cone (GNCP). …”
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Prediction and Fitting of Nonlinear Dynamic Grip Force of the Human Upper Limb Based on Surface Electromyographic Signals by Zixiang Cai, Mengyao Qu, Mingyang Han, Zhijing Wu, Tong Wu, Mengtong Liu, Hailong Yu

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Global Existence of Strong Solutions to a Class of Fully Nonlinear Wave Equations with Strongly Damped Terms by Zhigang Pan, Hong Luo, Tian Ma

“…We consider the global existence of strong solution u, corresponding to a class of fully nonlinear wave equations with strongly damped terms utt-kΔut=f(x,Δu)+g(x,u,Du,D2u) in a bounded and smooth domain Ω in Rn, where f(x,Δu) is a given monotone in Δu nonlinearity satisfying some dissipativity and growth restrictions and g(x,u,Du,D2u) is in a sense subordinated to f(x,Δu). …”
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Output Tracking via Adaptive Backstepping Higher Order Integral Sliding Mode for Uncertain Nonlinear Systems by M. Pervaiz, Q. Khan, A. I. Bhatti, S. A. Malik

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A Cu(I)-Based MOF with Nonlinear Optical Properties and a Favorable Optical Limit Threshold by Jing Cui, Zhaohui Yang, Yu Zhang, Zhaoxuan Fan, Jianquan Wang, Xiaoyun Qin, Lijun Gao, Haoran Yang, Shuangliang Liu, Liming Zhou, Shaoming Fang, Zhen Zhang

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Nonlinear Static Soil-Structure Interaction Analysis of Time-Dependent Soil Deformation Effects on RC Structures by Ayat Errahmane Remadna, Kamel Bezih, Rafik Demagh, Mohamed Saddek Remadna

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A Two-Step Matrix-Free Secant Method for Solving Large-Scale Systems of Nonlinear Equations by M. Y. Waziri, W. J. Leong, M. Mamat

“…We propose an approach to enhance the performance of a diagonal variant of secant method for solving large-scale systems of nonlinear equations. In this approach, we consider diagonal secant method using data from two preceding steps rather than a single step derived using weak secant equation to improve the updated approximate Jacobian in diagonal form. …”
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