Gust Load Alleviation with Robust Control for a Flexible Wing by Xiang Liu, Qin Sun

“…To accurately describe the aeroelastic model over a large flight envelope, a nonlinear parameter-varying model is developed which is a function of both Mach number and dynamic pressure. …”
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On the global well-posedness and exponential stability of 3D heat conducting incompressible Navier-Stokes equations with temperature-dependent coefficients and vacuum by Jianxia He, Qingyan Li

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Discrete Dynamic Modeling Analysis of Rural Revitalization and Ecotourism Sustainable Prediction Based on Big Data by Yao Tang

“…In view of this situation, this paper uses the mathematical algorithm of BP neural network to simulate the structure of brain neural network to deal with this kind of nonlinear relationship problem. Through the classification of complex and changeable factors, the modeling is completed systematically, and finally the effective prediction results are obtained. …”
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Crack simulation for the cover of the landfill � A seismic design by Mehran Karimpour-Fard, Omer Mughieda, Filippo Berto, Nurmunira Muhammad

“…Rankine�s theory and the Phantom Node Method were used for the simulation length of the crack and the mechanism of the crack propagation in the nonlinear extended finite element method (NXFEM). Artificial Neural Networks (ANNs) based on Levenberg-Marquardt Algorithm and Abalone Rings Data Set mode were used to predict displacement in critical points of the model. …”
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Fractional-Order Epidemic Model for Measles Infection by Philip N. A. Akuka, Baba Seidu, Eric Okyere, Stephen Abagna

“…In this study, a nonlinear dynamic SEVIQR measles epidemic model is constructed and analyzed using the novel Caputo fractional-order derivative operator. …”
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Two-Stage Adaptive Optimal Design with Fixed First-Stage Sample Size by Adam Lane, Nancy Flournoy

“…For simplicity, we assume a nonlinear regression model with normal errors. We show that the distribution of the maximum likelihood estimates converges to a scale mixture family of normal random variables. …”
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Effects of Soret and Dufour on Unsteady Magneto-Convective Transport through a Vertical Perforated Sheet with Chemical Reaction by Md. Mosharrof Hossain, Md. Hasanuzzaman, A. Rahim Laskar, Ashish Barmon

“…The model that formed nonlinear governing equations is transformed by applying the similarity analysis with the help of the finite difference method. …”
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Robust Control for the Suspension Cable System of the Unmanned Helicopter with Sensor Fault under Complex Environment by Rong Mei

“…To suppress the swing of the hanging load when the unmanned helicopter is in the forward flight state, a nonlinear line motion model is firstly established. …”
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Research on Hysteresis of Piezoceramic Actuator Based on the Duhem Model by Miaolei Zhou, Jingyuan Wang

“…The paper used the polynomial function to approach the piecewise continuous function and f(v) and g(v) in the Duhem model, adopted recursive least squares algorithm and gradient correction algorithm to identify parameter α, polynomial coefficients of f and g in the Duhem model, and established the nonlinear parametric model of the piezoceramic actuator. …”
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ANN-Enhanced Energy Reference Models for Industrial Buildings: Multinational Company Case Study by Younes Ouaomar, Said Benkechcha, Mourad Kaddiri

“…It demonstrates that combining nonlinear regression with neural network modeling enhances predictive accuracy while maintaining the inherent simplicity of ANNs. …”
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Investigation of Aerodynamic Characteristics of Aircrafts in a Rarefied Gas Flow Using the Moment Method by Auzhan Sakabekov, Saltanat Madaliyeva, Ryskul Yergazina

“…A one-dimensional nonstationary nonlinear moment system of equations and an approximation of Maxwell’s microscopic boundary condition will be introduced. …”
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Data-Driven Approximated Optimal Control for Chemical Processes with State and Input Constraints by Mingfang He

“…The feasibility and performance of the proposed approach are tested using two nonlinear cases including a continuous stirred-tank reactor (CSTR) example.…”
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An Iterative Technique for the Synthesis of Active Antenna Oscillator Arrays by Theodoros N. Kaifas, John N. Sahalos

“…The resulting arrays are shown to comply with the desired pattern and the nonlinear dynamics thus proving the validity of our method.…”
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Ownership Concentration and other Determinants of Covenants in Debt Contracts of Brazilian Publicly Listed Firms by Tatiana Albanez, Rafael Felipe Schiozer

“…For this purpose, we manually analyzed more than 4,000 explanatory notes for the firms’ financial statements regarding loans and financing and then applied linear and nonlinear regression models. We found that greater ownership concentration is associated with higher likelihood of the presence of covenants, corroborating the role of the ownership structure as a substitute governance mechanism that allows for aligning interests and reduces the need for using covenants. …”
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Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces by Ravi P. Agarwal, Hamed H. Alsulami, Erdal Karapınar, Farshid Khojasteh

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Effect of Human and Bovine Serum Albumin on kinetic Chemiluminescence of Mn (III)-Tetrakis (4-Sulfonatophenyl) Porphyrin-Luminol-Hydrogen Peroxide System by Sayed Yahya Kazemi, Seyed Mohammad Abedirad

“…The investigated parameters involved pseudo-first-order rise and fall rate constant for the chemiluminescence burst, maximum level intensity, time to reach maximum intensity, total light yield, and values of the intensity at maximum CL which were evaluated by nonlinear least square program KINFIT. Because of interaction of metalloporphyrin with proteins, the CL parameters are drastically affected. …”
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Travelling wave solutions of the reaction-diffusion mathematical model of glioblastoma growth: An Abel equation based approach by Tiberiu Harko, Man Kwong Mak

“…We consider quasi-stationary (travelling wave type) solutions to a nonlinearreaction-diffusion equation with arbitrary, autonomous coefficients,describing the evolution of glioblastomas, aggressive primary brain tumorsthat are characterized by extensive infiltration into the brain and arehighly resistant to treatment. The second order nonlinear equationdescribing the glioblastoma growth through travelling waves can be reduced to a first order Abel typeequation. …”
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Decoherence in spin wave propagation via precursor pulses during signal equilibration by Cameron Aidan McEleney, Robert E. Camley, Rair Macêdo

“…Abstract The processes for generation, amplification, and protraction of oscillating signals—often for information transfer—are inherently associated with dispersive decoherence and nonlinear phenomena. One such example is the case of wave patterns of non-negligible amplitudes that can emerge due to dispersion of a signal propagating through matter; for a continuously applied drive these patterns precede the main signal. …”
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A toxin-mediated size-structured population model: Finite difference approximation and well-posedness by Qihua Huang, Hao Wang

“…Motivated by the fact that individuals with different sizes may have different sensitivities to toxins, we develop a toxin-mediated size-structured model which is given by a system of first order fully nonlinear partial differential equations (PDEs). It is very possible that this work represents the first derivation of a PDE model in the area of ecotoxicology. …”
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Mixed Optimal Scheduling Model of Flexible Service System Based on Inverted Triangle by Shipei Hu, Yujun Sun

“…In the study presented in this paper, we built a nonlinear binary integer programming model of a flexible scheduling problem for the Department of Zhejiang Provincial Local Tax Services. …”
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