Solutions of Second-Order m-Point Boundary Value Problems for Impulsive Dynamic Equations on Time Scales by Xue Xu, Yong Wang

“…We study a general second-order m-point boundary value problems for nonlinear singular impulsive dynamic equations on time scales uΔ∇(t)+a(t)uΔ(t)+b(t)u(t)+q(t)f(t,u(t))=0,t∈(0,1),t≠tk,uΔ(tk+)=uΔ(tk)-Ik(u(tk)), and k=1,2,…,n,u(ρ(0))=0,u(σ(1))=∑i=1m-2αiu(ηi)‍. …”
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Effects of Thermal Radiation on Mixed Convection Flow of a Micropolar Fluid from an Unsteady Stretching Surface with Viscous Dissipation and Heat Generation/Absorption by Khilap Singh, Manoj Kumar

“…The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The model contains nonlinear coupled partial differential equations which have been converted into ordinary differential equation by using the similarity transformations. …”
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Internal Perturbation Projection Algorithm for the Extended Split Equality Problem and the Extended Split Equality Fixed Point Problem by Meixia Li, Xueling Zhou, Wenchao Wang

“…We apply our iterative algorithms to some convex and nonlinear problems. Finally, several numerical results are shown to confirm the feasibility and efficiency of the proposed algorithms.…”
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Existence of Bounded Positive Solutions for Partial Difference Equations with Delays by Zeqing Liu, Zhihua Wu, Young Chel Kwun, Shin Min Kang

“…This paper deals with solvability of the third-order nonlinear partial difference equation with delays Δn(am,nΔm2(xm,n+bm,nxm-τ0,n-σ0))+f(m,n,xm-τ1,m,n-σ1,n,…,xm-τk,m,n-σk,n)=cm,n,  m≥m0,  n≥n0. …”
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General Improvements of Heuristic Algorithms for Low Complexity DOA Estimation by Haihua Chen, Haoran Li, Mingyang Yang, Changbo Xiang, Masakiyo Suzuki

“…Heuristic algorithms are considered to be effective approaches for super-resolution DOA estimations such as Deterministic Maximum Likelihood (DML), Stochastic Maximum Likelihood (SML), and Weighted Subspace Fitting (WSF) which are involved in nonlinear multi-dimensional optimization. Traditional heuristic algorithms usually need a large number of particles and iteration times. …”
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Response of a Two-Degree-of-Freedom Vibration System with Rough Contact Interfaces by Zhiqiang Huang, Xun Peng, Gang Li, Lei Hao

“…For this purpose, a two-degree-of-freedom model of a coupled seismic-vibrator-rough-ground system is proposed with which the nonlinear vibration properties are analyzed. In this model, the force-deflection characteristic of the contact interfaces is determined by finite element analysis. …”
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Dynamic Mean-Variance Model with Borrowing Constraint under the Constant Elasticity of Variance Process by Hao Chang, Xi-min Rong

“…Secondly, we use dynamic programming principle to get the Hamilton-Jacobi-Bellman (HJB) equation for the value function, which is a more sophisticated nonlinear second-order partial differential equation. …”
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Superhydrophobic carbon papers for electrostatic water collection from fog by Xie Qiongdan, Yang BeiEr, Mu Jiangtao, Zhang Haoran, Yu Jiaxin, Liu Yunchen, Fang Deyu, Cong Longqi, Yang Qihang, Liu Ruoqi, Chen Qianqian

“…The fog collection efficiency is directly correlated with electrostatic air current, though the relationship is nonlinear: efficiency initially increases sharply with current before leveling off.…”
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Mathematical model and its fast numerical method for the tumor growth by Hyun Geun Lee, Yangjin Kim, Junseok Kim

“…,Three-dimensional multispecies nonlinear tumor growth-I: model and numerical method, J. …”
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Turing Patterns in a Predator-Prey System with Self-Diffusion by Hongwei Yin, Xiaoyong Xiao, Xiaoqing Wen

“…For this, we investigate Turing instability for a predator-prey system with nonlinear diffusion terms including the normal diffusion, cross-diffusion, and self-diffusion. …”
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The Evolutionary p(x)-Laplacian Equation with a Partial Boundary Value Condition by Huashui Zhan, Zhen Zhou

“…Since the equation is nonlinear, the partial boundary value condition cannot be depicted by Fichera function. …”
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Chaotic Puma Optimizer Algorithm for controlling wheeled mobile robots by Mohamed Kmich, Nawal El Ghouate, Ahmed Bencharqui, Hicham Karmouni, Mhamed Sayyouri, S.S. Askar, Mohamed Abouhawwash

“…It has outperformed standard and improved metaheuristic algorithms in controlling nonlinear and time-varying wheeled mobile robots. The results show a notable improvement in terms of response time and stability, thus expanding the potential applications of this optimizer in various fields of engineering and robotics.…”
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Observation of Dissipative Bright Soliton and Dark Soliton in an All-Normal Dispersion Fiber Laser by Chunyang Ma, Bo Gao, Ge Wu, Tian Zhang, Xiaojian Tian

“…We observe the generation of dissipative bright and dark soliton in an all-normal dispersion fiber laser by employing the nonlinear polarization rotation (NPR) technique. Through adjusting the angle of the polarizer and analyzer, the mode-locked and non-mode-locked regions can be obtained in different polarization directions. …”
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A Coupled Discrete-Finite Element Method for Shear Strength Analysis of Geogrid-Reinforced Railway Ballast by Danyang Ji, Zheng Ma, Junjie Zhou, Yajun Li, Shuai Shao

“…Irregularly shaped ballast particles are modeled with clumps, and the nonlinear contact force model is used to calculate contact force between particles. …”
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An Analysis of the Relationship Between Investor Risk Appetite and CDS Premiums in Turkey Using Asymmetric Methods by Adnan Güzel, Yüksel İltaş

“…The data set of the study consists of weekly frequency data covering the period April 2010-December 2023. Nonlinear ARDL (NARDL) method and Hatemi-J and Roca (2014) asymmetric causality test was used in the empirical analysis of the study. …”
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Butterfly Distribution of Relativistic Electrons Driven by Parallel Propagating Lower Band Whistler Chorus Waves by S. Saito, Y. Miyoshi

“…The results show that two nonlinear scattering processes, which are the phase trapping and the dislocation process, contribute to the formation of the butterfly distribution within a minute. …”
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On Comparative Analysis for the Black-Scholes Model in the Generalized Fractional Derivatives Sense via Jafari Transform by Saima Rashid, Sobia Sultana, Rehana Ashraf, Mohammed K. A. Kaabar

“…The precision and efficacy of the proposed technique suggest its applicability for a variety of nonlinear evolutionary problems.…”
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Frequency Diverse Array Target Localization Based on IPSO-BP by Qinghua Liu, Kai Ding, Bingsen Wu, Quanmin Xie

“…The improved particle swarm optimization (IPSO) algorithm with nonlinear weights is developed to optimize the neural network weights and biases to prevent BP neural network from easily falling into local minimum points. …”
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Three-Dimensional Reconstruction of Mechanical Parts Based on Digital Holography by Yaohui Dai, Haiyu Wu, Gang Zhu, Yan Yang

“…The multiaperture stitching technique in cylindrical coordinates is applied to digital holography technology, and the particle swarm optimization algorithm is used to transform the nonlinear equations into optimization problems to solve the splicing parameters. …”
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Containerships Sailing Speed and Fleet Deployment Optimization under a Time-Based Differentiated Freight Rate Strategy by Hualong Yang, Yuwei Xing

“…Then, the optimization problem is formulated as a mixed-integer nonlinear programming. Its goal is to maximize the total profits of a container liner shipping. …”
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