Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions by Andrew N. Guarendi, Abhilash J. Chandy

“…Details of the schemes, their implementation, and properties are presented together with results from several prototypical applications of hyperbolic conservation laws including a nonlinear scalar equation, the Euler equations of gas dynamics, and the ideal magnetohydrodynamic equations. …”
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On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode-Dependent Delays by Xinghua Liu, Hongsheng Xi

“…The exponential stability of neutral Markovian jump systems with interval mode-dependent time-varying delays, nonlinear perturbations, and partially known transition rates is investigated. …”
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A Penalized-Equation-Based Generalized Newton Method for Solving Absolute-Value Linear Complementarity Problems by Yuan Li, Hai-Shan Han, Dan-Dan Yang

“…We propose a new approximation reformulation of absolute value linear complementarity problems by using a nonlinear penalized equation. Based on this approximation reformulation, a penalized-equation-based generalized Newton method is proposed for solving the absolute value linear complementary problem. …”
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Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications by Mujahid Abbas, Hira Iqbal, Manuel De La Sen

“…As application, we establish the existence of solutions of nonlinear elastic beam equations and first-order periodic problem.…”
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Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher-Order Fractional Differential Equation by Jinhua Wang, Hongjun Xiang, Yuling Zhao

“…We consider boundary value problem for nonlinear fractional differential equation D0+αu(t)+f(t,u(t))=0,  0<t<1,  n-1<α≤n,  n>3,  u(0)=u'(1)=u′′(0)=⋯=u(n-1)(0)=0, where D0+α denotes the Caputo fractional derivative. …”
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Calculation of Wall Heat Conductivity under Non-Symmetric Boundary Conditions by R. I. Yesman

“…Advancing of phase transformation front along cross-section is considered with the purpose to take into account phase and chemical transformations in high-impact coatings and the Dirac δ-function is applied in this case.While stating a problem nonlinear boundary conditions and differential equations of heat transfer with due account of thermal and physical characteristics dependence on temperature have been used in the paper. …”
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A Conjugate Gradient Method with Global Convergence for Large-Scale Unconstrained Optimization Problems by Shengwei Yao, Xiwen Lu, Zengxin Wei

“…The conjugate gradient (CG) method has played a special role in solving large-scale nonlinear optimization problems due to the simplicity of their very low memory requirements. …”
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Integral Sliding Mode and Integral Supertwisting Sliding Mode Control for Ship Course-Keeping by Muhammad Munir Butt, Azhar Iqbal Kashif Butt, Iftikhar Ahmad

“…This paper proposes variable structure-based nonlinear control algorithms, including synergetic, terminal synergetic, integral sliding mode, and integral supertwisting sliding mode controllers, for ship course-keeping. …”
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Line Spectrum Chaotification on QZS Systems with Time-Delay Control by Jing Zhang, Tao Tang, Wenhua Fang

“…Thus, an isolation raft system based on quasi-zero-stiffness (QZS) property is proposed for line spectrum chaotification. A nonlinear time-delay controller is derived accordingly. …”
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Sidelobe Reduction in the Pulse-Compression Radar Using Synthesis of NLFM Laws by Iulian-Constantin Vizitiu

“…It is well known that in the pulse-compression radar theory, the sidelobe reduction using synthesis of some proper nonlinear FM (NLFM) laws represents a major research direction. …”
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Nonexistence of Homoclinic Orbits for a Class of Hamiltonian Systems by Xiaoyan Lin, Qi-Ming Zhang, X. H. Tang

“…We give several sufficient conditions under which the first-order nonlinear Hamiltonian system x'(t)=α(t)x(t)+f(t,y(t)),  y'(t)=-g(t,x(t))-α(t)y(t) has no solution (x(t),y(t)) satisfying condition 0<∫-∞+∞[|x(t)|ν+(1+β(t))|y(t)|μ]dt<+∞‍, where μ,ν>1 and (1/μ)+(1/ν)=1, 0≤xf(t,x)≤β(t)|x|μ, xg(t,x)≤γ0(t)|x|ν, β(t),γ0(t)≥0, and α(t) are locally Lebesgue integrable real-valued functions defined on ℝ.…”
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Parameter Extraction of Solar Photovoltaic Modules Using Gravitational Search Algorithm by R. Sarjila, K. Ravi, J. Belwin Edward, K. Sathish Kumar, Avagaddi Prasad

“…Parameter extraction of a solar photovoltaic system is a nonlinear problem. Many optimization algorithms are implemented for this purpose, which failed in giving better results at low irradiance levels. …”
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Transient Interaction of a Spherical Shell with an Underwater Explosion Shock Wave and Subsequent Pulsating Bubble by H. Huang, K.C. Kiddy

“…The nonlinear interaction problem is analyzed by simultaneously solving the mass, momentum, and energy conservation equations together .with appropriate material constitutive equations governing the fluid dynamics of the explosion gaseous product and the water and the structural dynamics of the compliant shell. …”
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The Flow Separation of Peristaltic Transport for Maxwell Fluid between Two Coaxial Tubes by S. Z. A. Husseny, Y. Abd elmaboud, Kh. S. Mekheimer

“…The system of the governing nonlinear PDE is solved by using the perturbation method to the first order in dimensionless wavenumber. …”
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Axisymmetric Natural Frequencies of Statically Loaded Annular Plates by Eihab M. Abdel-Rahman, Waleed F. Faris, Ali H. Nayfeh

“…We use the von Kármán nonlinear plate model to account for large deformations and study the effect of static deflections on the natural frequencies and mode shapes for six combinations of boundary conditions. …”
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Real-Time Ship Motion Prediction Based on Time Delay Wavelet Neural Network by Wenjun Zhang, Zhengjiang Liu

“…A wavelet neural network with time delay is proposed based on nonlinear autoregressive model with exogenous inputs (NARMAX) model, and the sensitivity method is applied in the selection of network inputs. …”
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FE Simulation of Transmission Tower by Boshra Eltaly, Amen Saka, Kamel Kandil

“…The current research describes nonlinear FE models of predicting the transmission tower failure. …”
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MATHEMATICAL MODELLING OF THE UNMANNED AERIAL VEHICLE DYNAMICS by V. Y. Stepanov

“…Further, the UAV is considered in more detail from the point of view of its flight dynamics analysis, the equation necessary for creating a mathematical model, as well as the model of an ordinary dynamic system as a non-stationary nonlinear controlled object, is given. Next, a description of the developed software for modeling and a description of program algorithm are given. …”
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On Dimension Extension of a Class of Iterative Equations by Juan Su, Xinhan Dong

“…This investigation aims at studying some special properties (convergence, polynomial preservation order, and orthogonal symmetry) of a class of r-dimension iterative equations, whose state variables are described by the following nonlinear iterative equation: ϕn(x)=T(ϕn−1(x)):=∑j=0mHjϕn−1(2x−k). …”
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Positive Definite Solutions of the Matrix Equation Xr-∑i=1mAi∗X-δiAi=I by Asmaa M. Al-Dubiban

“…We investigate the nonlinear matrix equation Xr-∑i=1mAi∗X-δiAi=I, where r is a positive integer and δi∈(0,1], for i=1,2,…,m. …”
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