Thermo-Magneto-Solutal Squeezing Flow of Nanofluid between Two Parallel Disks Embedded in a Porous Medium: Effects of Nanoparticle Geometry, Slip and Temperature Jump Conditions by M. G. Sobamowo, A. T. Akinshilo, A. A. Yinusa

“…Similarity variables are used to transform the developed governing systems of nonlinear partial differential equations to systems of nonlinear ordinary differential equations. …”
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Temperature and Stress Evaluation during Three Different Phases of Friction Stir Welding of AA 7075-T651 Alloy by Kareem N. Salloomi, Furat I. Hussein, Sanaa N. M. Al-Sumaidae

“…The current study performs an explicit nonlinear finite element simulation to predict temperature distribution and consequent stresses during the friction stir welding (FSW) of AA 7075-T651 alloy. …”
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Application of artificial intelligence brain structure-based paradigm to predict the slip condition impact on magnetized thermal Casson viscoplastic fluid model under combined temp... by Umar Farooq, Shan Ali Khan, Haihu Liu, Muhammad Imran, Lotfi Ben Said, Aleena Ramzan, Taseer Muhammad

“…With the help of a similarity transformation, the complex partial differential equations governing the flow and energy take on the form of nonlinear ordinary differential equations. These resulting nonlinear ordinary differential equations are solved by using the bvp4c solver in MATLAB. …”
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Upper and Lower Bounds for Ranks of the Matrix Expression X-XAX by Zhiping Xiong

“…We consider the question of how to take X such that the nonlinear matrix expression X-XAX attains its maximal and minimal possible ranks.…”
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On the number of solutions of some integral equations arising in radiative transfer by Ioannis K. Argyros

“…We discuss the number of solutions of some nonlinear integral equations arising in the theories of radiative transfer, neutron transport and in the kinetic theory of gases.…”
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Characterization of stress-strain state in gas turbine engine compressor disc taking into account damage accumulation by Natalia V Boychenko, Ivan Ishtyryakov

“…The nonlinear stress intensity factors are preferred as fracture resistance parameters of materials and structures.…”
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Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials by W. M. Abd-Elhameed

“…The main aim of this research article is to develop two new algorithms for handling linear and nonlinear third-order boundary value problems. For this purpose, a novel operational matrix of derivatives of certain nonsymmetric generalized Jacobi polynomials is established. …”
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Study on Soil Spring Model for Pipe and Silty Clay Interaction Based on Physical Model Test by Liyun Li, Junyan Han, Xiangjian Wang

“…The previous soil spring model cannot describe the nonlinear characteristics of soil in elastic stage, and there are some shortcomings in the selection of soil spring parameters in some published codes. …”
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Partial Control of a Continuous Bioreactor: Application to an Anaerobic System for Heavy Metal Removal by M. I. Neria-González, P. A. López-Pérez, R. Aguilar-López

“…For this aim, regulation of the sulfate concentration, which is considered the measured and controlled state variable, allowed diminishing the cadmium concentration in the bioreactor, where the corresponding controller was designed via nonlinear bounded function. Furthermore, a nonlinear controllability analysis was done, which proved the closed-loop instability of the inner or uncontrolled dynamics of the bioreactor. …”
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Semisupervised Kernel Marginal Fisher Analysis for Face Recognition by Ziqiang Wang, Xia Sun, Lijun Sun, Yuchun Huang

“…SKMFA can make use of both labelled and unlabeled samples to learn the projection matrix for nonlinear dimensionality reduction. Meanwhile, it can successfully avoid the singularity problem by not calculating the matrix inverse. …”
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Travelling wave solutions to some PDEs of mathematical physics by Kourosh Nozari, Ghasem Alizadeh Afrouzi

“…Nonlinear operations such as multiplication of distributions are not allowed in the classical theory of distributions. …”
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Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems by Waleeda Swaidan, Amran Hussin

“…The proposed method has been applied to solve linear and nonlinear optimal control problems with infinite time horizon. …”
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Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter Systems by Xiaona Song, Mi Wang, Shuai Song, Jingtao Man

“…This paper studies fuzzy controller design problem for a class of nonlinear switched distributed parameter systems (DPSs) subject to time-varying delay. …”
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Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation by Jagdev Singh, Arpita Gupta, Dumitru Baleanu

“…Also, we present the numerical solution of nonlinear fractional coupled Whitham-Broer-Kaup equation using studied technique. …”
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Higher-Order Multifractal Detrended Partial Cross-Correlation Analysis for the Correlation Estimator by Keqiang Dong, Xiaojie Gao

“…In this paper, we develop a new method to measure the nonlinear interactions between nonstationary time series based on the detrended cross-correlation coefficient analysis. …”
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Robust Finite-Time Terminal Sliding Mode Control for a Francis Hydroturbine Governing System by Fengjiao Wu, Junling Ding, Zhengzhong Wang

“…Firstly, the mathematical model of a Francis hydroturbine governing system is presented and the nonlinear vibration characteristics are analyzed. Then, on the basis of finite-time control theory and terminal sliding mode scheme, a new robust finite-time terminal sliding mode control method is proposed for nonlinear vibration control of the hydroturbine governing system. …”
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Analytical Approximate Solutions for the Cubic-Quintic Duffing Oscillator in Terms of Elementary Functions by A. Beléndez, M. L. Alvarez, J. Francés, S. Bleda, T. Beléndez, A. Nájera, E. Arribas

“…To do this, we use the previous results obtained using a cubication method in which the restoring force is expanded in Chebyshev polynomials and the original nonlinear differential equation is approximated by a cubic Duffing equation. …”
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Existence and Uniqueness of Solution for Perturbed Nonautonomous Systems with Nonuniform Exponential Dichotomy by Yong-Hui Xia, Xiaoqing Yuan, Kit Ian Kou, Patricia J. Y. Wong

“…The essential condition of these previous results is based on the assumption that the nonlinear term satisfies |f(t,x)|≤μe−ε|t|. However, this condition is very restricted. …”
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Acoustic Characterization of Fluorinert FC-43 Liquid with Helium Gas Bubbles: Numerical Experiments by Christian Vanhille, Cristian Pantea, Dipen N. Sinha

“…Very low sound speed and high sound attenuation are found, in addition to a particularly high acoustic nonlinear parameter. This result suggests the possibility of using this medium as a nonlinear enhancer in various applications. …”
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Numerical Simulations and Control of Offshore Energy Harvesting Using Piezoelectric Materials in a Portal Frame Structure by Wagner B. Lenz, Mauricio A. Ribeiro, Rodrigo T. Rocha, Jose M. Balthazar, Angelo M. Tusset

“…Thus, using the current models for a portal frame in the literature and the spectrum of available energy in sea waves, a nonlinear mathematical model accounting for the coupling of a nonlinear piezoelectric material is considered. …”
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