A posteriori Variational Multiscale Methods for the 1D convection-diffusion equations by Chacón Rebollo, Tomás, Domínguez-Delgado, Antonio, Gómez Marmol, Macarena

“…We present an extension of this technique to nonlinear convection-diffusion equations (a traffic model), providing an efficient method for the resolution of shocks from just the Galerkin solution at targeted times. …”
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Shield Tunneling Parameter Matching Model and UI Interface by Gongyu Hou, Zhedong Xu, Le Li, Xiaoge Quan, Yajie Yang

“…In order to improve the accuracy of shield tunneling parameter matching under the limited data, the matching model based on support vector machine (SVM) and exponential adjustment inertia weight immune particle swarm optimization (EAIW-IPSO) is proposed. The nonlinear relationship model between the tunneling parameters and the ground settlement is constructed by SVM and trained with the actual engineering sample data. …”
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Improved global stability condition analysis for time-delay fast active queue management scalable transmission control protocol by Jinfeng Huang, Lingjing Zeng, Xiaolong Chen

“…The nonlinear time-delay fast active queue management scalable transmission control protocol model was studied in this article. …”
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The Inverse Problem of Identification of Hydrogen Permeability Model by Yury V. Zaika, Natalia I. Rodchenkova, Ekaterina K. Kostikova

“…A numerical method is developed for TDS spectrum simulation, where only integration of a nonlinear system of low order ordinary differential equations is required. …”
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On the Fractional View Analysis of Keller–Segel Equations with Sensitivity Functions by Haobin Liu, Hassan Khan, Rasool Shah, A. A. Alderremy, Shaban Aly, Dumitru Baleanu

“…The suggested procedure is very attractive and straight forward and therefore can be modified to solve high nonlinear fractional partial differential equations and their systems.…”
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Bounded Positive Solutions for a Third Order Discrete Equation by Zeqing Liu, Ming Jia, Shin Min Kang, Young Chel Kwun

“…This paper studies the following third order neutral delay discrete equation Δ(anΔ2(xn+pnxn-τ))+f(n,xn-d1n,…,xn-dln)=gn,n≥n0, where τ,l∈ℕ, n0 ∈ℕ∪{0}, {an}n∈ℕn0, {pn}n∈ℕn0, {gn}n∈ℕn0 are real sequences with an≠0 for n≥n0, {din}n∈ℕn0⊆ℤ with lim n→∞(n-din)=+∞ for i∈{1,2,…,l} and f∈C(ℕn0×ℝl,ℝ). By using a nonlinear alternative theorem of Leray-Schauder type, we get sufficient conditions which ensure the existence of bounded positive solutions for the equation. …”
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Neural Network Predictive Control for Vanadium Redox Flow Battery by Hai-Feng Shen, Xin-Jian Zhu, Meng Shao, Hong-fei Cao

“…The vanadium redox flow battery (VRB) is a nonlinear system with unknown dynamics and disturbances. …”
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Intelligent Controller Design for Quad-Rotor Stabilization in Presence of Parameter Variations by Oualid Doukhi, Abdur Razzaq Fayjie, Deok Jin Lee

“…The paper presents the mathematical model of a quadrotor unmanned aerial vehicle (UAV) and the design of robust Self-Tuning PID controller based on fuzzy logic, which offers several advantages over certain types of conventional control methods, specifically in dealing with highly nonlinear systems and parameter uncertainty. The proposed controller is applied to the inner and outer loop for heading and position trajectory tracking control to handle the external disturbances caused by the variation in the payload weight during the flight period. …”
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Deformation Failure Characteristics of Coal Body and Mining Induced Stress Evolution Law by Zhijie Wen, Guanglong Qu, Jinhao Wen, Yongkui Shi, Chuanyang Jia

“…All this indicates that the pore distribution of coal body with different compressed volume has fractal character; it appears to be the linear relationship between propagation range of internal stress field and compressed volume of coal body and nonlinear relationship between the range of outburst coal mass and the number of pores which is influenced by mining pressure. …”
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Quantification of Sunscreen Benzophenone-4 in Hair Shampoos by Hydrophilic Interactions Thin-Layer Chromatography/Densitometry or Derivative UV Spectrophotometry by Anna W. Sobańska, Katarzyna Kałębasiak, Jarosław Pyzowski, Elżbieta Brzezińska

“…The densitometric calibration curve for BZ4 was nonlinear (second-degree polynomial), with R>0.999. …”
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Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method by Tao Xu, Haisheng Yu, Jinpeng Yu

“…This work investigates the finite-time control problem for a nonlinear four-tank cross-coupled liquid level system by the port-controlled Hamiltonian (PCH) model. …”
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Dynamic Model of a Rotating Flexible Arm-Flexible Root Mechanism Driven by a Shaft Flexible in Torsion by S.Z. Ismail, A.A. Al-Qaisia, B.O. Al-Bedoor

“…The obtained model is a nonlinear-coupled system of differential equations. …”
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Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters by M. M. Rashidi, E. Momoniat, B. Rostami

“…The boundary-layer equations are derived by considering Boussinesq and boundary-layer approximations. The nonlinear ordinary differential equations for the momentum and energy equations are obtained and solved analytically by using homotopy analysis method (HAM) with two auxiliary parameters for two classes of visco-elastic fluid (Walters’ liquid B and second-grade fluid). …”
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Influence of Soil-Structure Interaction on the Seismic Response of a Continuous Bridge with Friction Pendulum System by Bing Li, Chong Fu, Guolong Liu, Wei Wei, Junfa Duan, Bin Wang

“…SSI was modelled using the soil resistance vs deflection nonlinear springs (following p-y curves). The influence of SSI on the dynamic behaviour and the seismic response of isolated bridges with different friction coefficients of FPS were investigated using six measured ground motions. …”
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M&A Short-Term Performance Based on Elman Neural Network Model: Evidence from 2006 to 2019 in China by Ming Xiao, Xionghui Yang, Ge Li

“…After comparing the five abnormal return (AR) calculation models, it is found that the commonly used market model method and the market adjustment method have statistical defects while the Elman feedback neural network model is capable of good nonlinear prediction ability. The study shows that M&A can create considerable short-term performance for Chinese listed company shareholders. …”
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Analyzing Axial Stress and Deformation of Tubular for Steam Injection Process in Deviated Wells Based on the Varied (T,P) Fields by Yunqiang Liu, Jiuping Xu, Shize Wang, Bin Qi

“…A new model is multiple nonlinear equation systems by comprehensive consideration of axial load of tubular string, internal and external fluid pressure, normal pressure between the tubular and well wall, and friction and viscous friction of fluid flowing. …”
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Research on Wideband Differential-Mode Current Injection Testing Technique Based on Directional Coupling Device by Xiaodong Pan, Guanghui Wei, Xinfu Lu, Lisi Fan, Xing Zhou

“…The implementation techniques for the single differential-mode current injection method (SDMCI) and the double differential-mode current injection method (DDMCI) are discussed in detail. The typical nonlinear response interconnected systems are selected as the EUT. …”
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A Novel Prediction Method of Dynamic Wall Pressure for Silos Based on Support Vector Machine by Hanhua Yu, Zhijun Xu, Tingting Liu, Fang Yuan

“…The distribution of dynamic wall pressure during silo discharge is quite complicated. Considering the nonlinear relationship between the factors which affect the dynamic lateral pressure of silos, a prediction method of dynamic wall pressure for silos based on support vector machine (SVM) is proposed here, and furthermore, the modified grid search method (GSM) is incorporated in obtaining the optimal support vector machine parameters to improve the accuracy of the prediction. …”
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Robust Cyclic MUSIC Algorithm for Finding Directions in Impulsive Noise Environment by Sen Li, Xiaojing Chen, Rongxi He

“…To resolve this problem, we define two robust cyclic correlation functions which are derived from robust statistics property of the correntropy and the nonlinear transformation, respectively. The MUSIC algorithm with the robust cyclic correlation matrix of the received signals of arrays is then used to estimate the direction of cyclostationary signal in the presence of impulsive noise. …”
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Optimization of Power Allocation for a Multibeam Satellite Communication System with Interbeam Interference by Heng Wang, Aijun Liu, Xiaofei Pan, Jiong Li

“…Initially the power allocation problem is formulated as a nonlinear optimization, considering a compromise between the maximization of total system capacity and the fairness of the power allocation amongst the beams. …”
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