A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation by Liquan Mei, Yali Gao, Zhangxin Chen

“…In addition, an extrapolation technique is used to transform a nonlinear system into a linear system in order to improve the time accuracy of this method. …”
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De-noising method of pulse signal based on double-tree complex wavelet transform and morphological filtering by Dan LI, Huiqian WANG, Tong BAI, Jinzhao LIN, Yu PANG, Xiaoming JIANG, Yuhao JIANG

“…Common medical signals such as pulse signals, contain a variety of noises, have strong nonlinear and non-stationary. According to the previous wavelet transformation method, a pulse signals de-noising algorithm based on dual-tree complex wavelet transform（DTCWT）was proposed. …”
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Mobile Robot Localization Based on Vision and Multisensor by Lina Yao, Fengzhe Li

“…To deal with the low accuracy of positioning for mobile robots when only using visual sensors and an IMU, a method based on tight coupling and nonlinear optimization is proposed to obtain a high-precision visual positioning scheme by combining measured value of the preintegrated inertial measurement unit (IMU) and values of the odometer and characteristic observations. …”
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Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method by Duc Phi Do, Dashnor Hoxha

“…The present work aims to study the nonlinear effective thermal conductivity of heterogeneous composite-like geomaterials by using a numerical approach based on the immersed interface method (IIM). …”
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Study on the Model of Slider-crank Mechanism with Clearance based on Parameter Identification Method by Zeng Qingsheng, Wang Xiangjiang, Tang Xiaohuan

“…The comparison results show that the model of using the method of parameter identification has high accuracy and modeling process is simple,a new train of thought for complex nonlinear modeling of the electromechanical system is provided.…”
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Modification of Homotopy Perturbation method for addressing systems of PDEs by Osama Alkhazaleh

“…We extend MHPM to solve more intricate nonlinear systems, showcasing its adaptability and robustness through applications to Burgers’ equations and the Brusselator model. …”
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Sandy Soil Liquefaction Prediction Based on Clustering-Binary Tree Neural Network Algorithm Model by Yu Wang, Jiachen Wang

“…The model can establish the nonlinear relationship between sand liquefaction and various influencing factors by learning limited samples. …”
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On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection by Thierry E. Huillet

“…In the deterministic formulation, we construct a Markov process whose Master equation identifies with the nonlinear deterministic evolutionary equation. Then, we draw the attention on a class of fitness matrices that plays some role in the important matter of polymorphism: the class of strictly ultrametric fitness matrices. …”
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Lie Algebra Classification, Conservation Laws, and Invariant Solutions for a Generalization of the Levinson–Smith Equation by G. Loaiza, Y. Acevedo, O.M.L. Duque, Danilo A. García Hernández

“…The underlying equation has applications in mechanics and nonlinear dynamics as well. This equation has been widely studied in the qualitative scheme. …”
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Analysis of a Chaotic Memristor Based Oscillator by F. Setoudeh, A. Khaki Sedigh, M. Dousti

“…Sensitivity to initial conditions is studied by considering a nonlinear model of the system, and also a new chaos analysis methodology based on the energy distribution is presented using the Discrete Wavelet Transform (DWT). …”
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Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment by Hui Miao, Meiyan Jiao

“…In this paper, the dynamical behaviors for a diffusive virus infection model with two general nonlinear incidence functions, CTL immune impairment and discrete delays, are investigated. …”
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Kannan Contraction Maps on the Space of Null Variable Exponent Second-Order Quantum Backward Difference Sequences of Fuzzy Functions and Its Pre-Quasi Ideal by Awad A. Bakery, OM Kalthum S. K. Mohamed

“…There are also some significant applications of the existence of solutions to nonlinear difference equations of fuzzy functions.…”
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A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator by Ahmed Sami Abdulghafour, Raid Kamel Naji

“…The proposed mathematical model is consisting of three first-order nonlinear ordinary differential equations, which describe the interaction among the healthy prey, infected prey, and predator. …”
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Dynamics Analysis of a Single Leg of Quadruped Robots Based on Udwadia-Kalaba Theory by Liang Bin, Yuan Liang, Ran Teng, Xiao Wendong, He Li

“…Considering the uncertainty of the realistic environment, a nonlinear controller is designed to track the motion trajectory using the principle of sliding mode control. …”
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Existence of a unique solution to a fourth-order boundary value problem and elastic beam analysis by Ravindra Rao, Jagan Mohan Jonnalagadda

“…The existence and uniqueness of solutions to the models are guaranteed for certain classes of linear and nonlinear loading forces.…”
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Asymptotic and numerical solutions for diffusion models for compounded risk reserves with dividend payments by S. Shao, C. L. Chang

“…After defining the process of conditional probability in finite time, martingale theory turns the nonlinear stochastic differential equation to a special class of boundary value problems defined by a parabolic equation with a nonsmooth coefficient of the convection term. …”
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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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New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G-Expansion Methods by Yinghui He

“…The G′/G-expansion method is a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems. …”
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Design and Experiment of Deep-position Grabbing Device of Tissue Culture Basket in Facility Agriculture by Li Chen, Liu Juan, Liu Hongliang, Ying Fuqiang

“…Based on the contact dynamics model and the nonlinear continuous collision theory,the calculation method of the collision force during the grasping process is proposed. …”
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Sliding Mode-Based Control of a UAV Quadrotor for Suppressing the Cable-Suspended Payload Vibration by Tom Kusznir, Jaroslaw Smoczek

“…This paper addresses the problem of damping vibrations of a cable-suspended payload during positioning of the quadrotor. A nonlinear model is derived for the coupled quadrotor-pendulum system in the X-Z plane using Euler–Lagrange formulation. …”
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