Green approach to synthesis polymer composites based on chitosan with desired linear and non-linear optical characteristics by Dyari M. Mamand, Sarkawt A. Hussen, Shujahadeen B. Aziz

“…The oscillator’s strength ( $$\:{S}_{0}$$ ) and wavelength ( $$\:{\lambda\:}_{0}$$ ) were determined via the Sellmeier model using the linear refractive index. The first-order nonlinear ( $$\:{\chi\:}^{\left(1\right)}$$ ), second-order non-linear ( $$\:{\chi\:}^{\left(2\right)}$$ ) and third-order nonlinear optical susceptibility ( $$\:{\chi\:}^{\left(3\right)}$$ ) were determined for all the films.…”
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Strength Prediction of Geopolymer Concrete With Wide-Ranged Binders and Properties Using Artificial Neural Network by Md Merajul Islam, Md Al-Mamun Provath, G. M. Sadiqul Islam, Md Tariqul Islam

“…With all these, an ANN model was developed to handle the inherent nonlinearity of input parameters, validated through fivefold cross-validation. …”
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Multistage Spectral Relaxation Method for Solving the Hyperchaotic Complex Systems by Hassan Saberi Nik, Paulo Rebelo

“…The proposed method, called the multistage spectral relaxation method (MSRM) is based on a technique of extending Gauss-Seidel type relaxation ideas to systems of nonlinear differential equations and using the Chebyshev pseudospectral methods to solve the resulting system on a sequence of multiple intervals. …”
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Stability of the NLS Equation with Viscosity Effect by N. Karjanto, K. M. Tiong

“…A nonlinear Schrödinger (NLS) equation with an effect of viscosity is derived from a Korteweg-de Vries (KdV) equation modified with viscosity using the method of multiple time scale. …”
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A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs by Min Fan, Ping Zou, Shao-Rong Li, Chin-Chia Wu

“…Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash equilibrium of IFPBiG. …”
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The numerical models of the estimation of the electrooptical parameters of GaAs by Albertas Pincevičius, Rimantas-Jonas Rakauskas, Svajonė Vošterienė

“…The system of the six nonlinear ordinary differen­tial equations is solved. …”
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Oscillation of Two-Dimensional Neutral Delay Dynamic Systems by Xinli Zhang, Shanliang Zhu

“…We consider a class of nonlinear two-dimensional dynamic systems of the neutral type (x(t)-a(t)x(τ1(t)))Δ=p(t)f1(y(t)), yΔ(t)=-q(t)f2(x(τ2(t))). …”
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Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux by I-Chung Liu, Ahmed M. Megahed

“…Similarity transformations are used to transform the governing equations to a set of coupled nonlinear ordinary differential equations. The obtained differential equations are solved approximately by the homotopy perturbation method (HPM). …”
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Method on PAPR reduction in digital beam-forming by Lu LIU, Guoqing ZHAO

“…Digital beam-forming technology is one of the key technologies in 5G communication.However,the high peak-to-average power ratio in digital beam-forming would make the power amplifier work in the nonlinear region.Nowadays,the solutions to the high peak-to-average power ratio,such as selected mapping,embedded side information selected mapping have some faults:the complexity is high,and the utilization of the bandwidth is low.A blind selected mapping method to reduce the high peak-to-average power ratio based on MUSIC algorithm was proposed.In this method,the side information was omitted,so the utilization of the bandwidth was improved.Simultaneously,the result of the peak-to-average power ratio reduction and the complexity is much more enhanced.…”
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Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption by O. D. Makinde

“…This paper investigates both the transient and the steady state of a one-step nth-order oxidation exothermic reaction in a slab of combustible material with an insulated lower surface and an isothermal upper surface, taking into consideration reactant consumption. The nonlinear partial differential equation governing the transient reaction-diffusion problem is solved numerically using a semidiscretization finite difference technique. …”
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On Transformation Involving Basic Analogue of Multivariable H-Function by Dinesh Kumar, Frédéric Ayant, Jessada Tariboon

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Optical Measurement of Cable and String Vibration by Y. Achkire, A. Preumont

“…On the one hand, the sensor is used to monitor the cable vibrations of a small scale mock-up of a cable structure in order to validate the nonlinear cable dynamics model. On the other hand, the optical sensor is used to evaluate the performance of an active tendon control algorithm with guaranteed stability properties. …”
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Analogic Orthogonal Experiment Analysis based on RV Reducer Angular Transmission Error Simulation by Wang Xiaoyu, Tang Yahui, Zhang Yinghui, Chang Anquan

“…To study the influence of different bearing clearance on the angular transmission error of RV reducer,the characteristics of the angular transmission error as the combination forms of different bearing clearances are obtained through applying dynamics simulation work on a simulation model of RV reducer,which containing cycloidal gear profile modification,bearing clearance and nonlinear contact of gears. By analysis of orthogonal test on the basis of above,the sensitivity and influence law of the different bearing clearance on the angular transmission error of RV reducer are analyzed. …”
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Compensating Trajectory of a Kind of Long-pitch Constrained Conveyor Chain by Li Shujing, Hong Lin, Liang Yanshu

“…The conveyor chain model which include constrained and free pin is established.Through analyzing each position of pin in static and the movement velocity and displacement of pin in one period are calculated according to its coordinate.The mathematical model of each pin in the state of motion is established and the motion trajectory of free pin should include two parts because of the polygonal action of the chain is proposed.Aiming at the problem of the nonlinear equations in the mathematical model of chain is hard to calculate,a kind of solution method based on fundamental theorem of calculus is presented.Finally,motion trajectory of top and bottom edge free pin is obtained by using the MATLAB point depiction method.A computation method is provided for the analysis of trajectory constrained conveyor chain and the design of constrained trajectory.…”
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Dynamic Pull-In Investigation of a Clamped-Clamped Nanoelectromechanical Beam under Ramp-Input Voltage and the Casimir Force by Amir R. Askari, Masoud Tahani

“…The presented model is nonlinear due to the inherent nonlinearity of electrostatics and the Casimir excitations as well as the geometric nonlinearity of midplane stretching. …”
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New Highly Efficient Families of Higher-Order Methods for Simple Roots, Permitting f′(xn)=0 by Ramandeep Behl, V. Kanwar

“…Construction of higher-order optimal and globally convergent methods for computing simple roots of nonlinear equations is an earliest and challenging problem in numerical analysis. …”
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INFLUENCE OF TRANSVERSE ROUGH TEXTURE TO LUBRICATION CHARACTERISTICS OF ROLLING BEARING by LU YaDi, Qi XiuMei, GAO ChuangKuan

“…With the help of the Fourier nonlinear approximation the measured data was used to form a roughness function which was superimposed to film thickness equation and a mixed thermal elastohydrodynamic lubrication model for the rolling bearing was then established. …”
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Multiple Solutions of Mixed Convective MHD Casson Fluid Flow in a Channel by Jawad Raza, Azizah Mohd Rohni, Zurni Omar

“…Governing partial differential equation of the proposed problem converted into nonlinear ordinary differential equations by using similarity transformation. …”
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Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions by SunAe Pak, KumSong Jong, KyuNam O, HuiChol Choi

“…In this paper, we investigate the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear fractional differential equations with p-Laplacian operator. …”
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Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method by Berna Bülbül, Mehmet Sezer

“…Duffing equation and conditions are transformed into the matrix equations, which corresponds to a system of nonlinear algebraic equations with the unknown coefficients, via collocation points. …”
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