Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials by Syed Tauseef Mohyud-Din, Ahmet Yildirim, M. M. Hosseini

“…The elegant coupling gives rise to the modified versions of VIM which is very efficient in solving nonlinear problems of diversified nature. It is observed that the variational iteration method using He's polynomials (VIMHP) is very efficient, easier to implements, and more user friendly. …”
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Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder by Marina Chugunova, Roman M. Taranets

“…We consider a nonlinear 4th-order degenerate parabolic partial differential equation that arises in modelling the dynamics of an incompressible thin liquid film on the outer surface of a rotating horizontal cylinder in the presence of gravity. …”
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Actuator Fault Diagnosis in a Boeing 747 Model via Adaptive Modified Two-Stage Kalman Filter by Fikret Caliskan, Youmin Zhang, N. Eva Wu, Jong-Yeob Shin

“…An adaptive modified two-stage linear Kalman filtering algorithm is utilized to identify the loss of control effectiveness and the magnitude of low degree of stuck faults in a closed-loop nonlinear B747 aircraft. Control effectiveness factors and stuck magnitudes are used to quantify faults entering control systems through actuators. …”
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Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay by Madeaha Alghanmi, Shahad Alqurayqiri

“…Then, sufficient criteria for the existence of solutions are established for the convex case of the given problem using the nonlinear Leray–Schauder alternative type, while Covitz and Nadler’s theorem is applied for nonconvex multivalued functions. …”
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A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind by Lie-jun Xie

“…The validity and applicability of the new technique are illustrated through several linear and nonlinear equations by comparing with the standard decomposition method and the modified decomposition method. …”
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Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays by Chuangxia Huang, Lehua Huang, Yigang He

“…This paper addresses the issue of mean square exponential stability of stochastic Cohen-Grossberg neural networks (SCGNN), whose state variables are described by stochastic nonlinear integrodifferential equations. With the help of Lyapunov function, stochastic analysis technique, and inequality techniques, some novel sufficient conditions on mean square exponential stability for SCGNN are given. …”
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Regularization of the Shock Wave Solution to the Riemann Problem for the Relativistic Burgers Equation by Ting Zhang, Chun Shen

“…For Riemann initial data consisting of a single decreasing jump, we find that the regularization of nonlinear convective term cannot capture the correct shock wave solution. …”
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Application of Daftardar Jafari Method to First Grade MHD Squeezing Fluid Flow in a Porous Medium with Slip Boundary Condition by Inayat Ullah, M. T. Rahim, Hamid Khan

“…The governing equations are transformed to a single nonlinear boundary value problem. Daftardar Jafari Method (DJM) is used to solve the problem in order to obtain the velocity profile of the fluid. …”
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HEMT Noise Modeling for D Band Low Noise Amplifier Design by Ao Zhang, Jianjun Gao

“…An improved EEHEMT nonlinear model with noise model has been developed in this paper. …”
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On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay by Mohammed S. Abdo, Mohammed Zakarya, Emad E. Mahmoud, Saeed M. Ali, Abdel-Haleem Abdel-Aty

“…To be precise, we investigate the existence and uniqueness results based on the nonlinear alternative of the Leray-Schauder type and Banach contraction mapping. …”
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Bargmann Type Systems for the Generalization of Toda Lattices by Fang Li, Liping Lu

“…Under a constraint between the potentials and eigenfunctions, the nonlinearization of the Lax pairs associated with the discrete hierarchy of a generalization of the Toda lattice equation is proposed, which leads to a new symplectic map and a class of finite-dimensional Hamiltonian systems. …”
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Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices by Qiongli Wu, Liangcai Gan, Qingfeng Fan

“…We establish the nonexistence of solution for the following nonlinear elliptic problem with weights: -Δu=(1+|x|α)|u|p-1u in RN, where α is a positive parameter. …”
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Association between weight-adjusted-waist index and long-term prognostic outcomes in cardiovascular disease patients: results from the NHANES 1999–2018 study by Hanbin Li, Wen Zhong, Hongxin Cheng, Shiqi Wang, Ran Li, Lu Wang, Chengqi He, Quan Wei

“…The risk of all-cause mortality increased with WWI and showed a linear association in patients with congestive heart failure, heart attack (P-overall < 0.05, P − nonlinear > 0.05); WWI was nonlinearly associated with the risk of all-cause mortality in patients with coronary heart disease and angina (P-overall < 0.05, P − nonlinear < 0.05). …”
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Association of the Monocyte to High-Density Lipoprotein Cholesterol Ratio and Neutrophil to High-Density Lipoprotein Cholesterol Ratio With the Severity of New-Onset Coronary Arter... by Shu H, Han S, Qiu W, Li J, Zhang X, Su H, Wu H, Zhao G, Li Q

“…RCS curve analysis indicated a nonlinear relationship between the two biomarkers and GS (P< 0.05) and there were clear inflection points. …”
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On p-Hybrid Wardowski Contractions by Erdal Karapınar, Hassen Aydi, Andreea Fulga

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Microstructure effect of mechanical and cracking behaviors on brittle rocks using image-based fast Fourier transform method by Mingyao Li, Lei Peng, Dejun Liu, Jianping Zuo

“…The internal microstructures of rock materials, including mineral heterogeneity and intrinsic microdefects, exert a significant influence on their nonlinear mechanical and cracking behaviors. It is of great significance to accurately characterize the actual microstructures and their influence on stress and damage evolution inside the rocks. …”
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Risk Balancing of Cold Ischemic Time against Night Shift Surgery Possibly Reduces Rates of Reoperation and Perioperative Graft Loss by Nikos Emmanouilidis, Julius Boeckler, Bastian P. Ringe, Alexander Kaltenborn, Frank Lehner, Hans Friedrich Koch, Jürgen Klempnauer, Harald Schrem

“…ORs for DGF were plotted against CIT and a nonlinear regression function with best R2 was identified. …”
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Retrieval of Atmospheric CO2 and CH4 Variations Using Ground-Based High Resolution Fourier Transform Infrared Spectra by Tian Yuan, Liu Cheng, Sun You Wen, Xie Pin Hua, Wang Wei, Liu Wen Qing, Liu Jian Guo, Li Ang, Hu Ren Zhi, Zeng Yi

“…The inversion algorithm is based on the nonlinear iterative and nonlinear least squares spectral fitting, which is used to obtain VCDCO2 and VCDCH4 (which represent vertical column density of CO2 and CH4, resp.). …”
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An Updating Method for Finite Element Models of Flexible-Link Mechanisms Based on an Equivalent Rigid-Link System by R. Belotti, R. Caracciolo, I. Palomba, D. Richiedei, A. Trevisani

“…Model updating is not straightforward since the resulting model is nonlinear and its coordinates cannot be directly measured. …”
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Stability Control of the Agricultural Tractor-Trailer System in Saline Alkali Land: A Collaborative Trajectory Planning Approach by Guannan Lei, Shilong Zhou, Penghui Zhang, Fei Xie, Zihang Gao, Li Shuang, Yanyun Xue, Enjie Fan, Zhenbo Xin

“…By solving the TTS kinematic/dynamic state space, a nonlinear leading system that can generate the reference pose of a tractor-trailer was constructed. …”
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