An Optimization Model for Reducing Pumping Costs in Water Distribution Systems by Abbasali Rezapour

“…The development of this framework commenced with the formulation of the issue as a mixed nonlinear programming problem, which subsequently underwent transformation into a mixed linear programming model through the application of linearization methodologies. …”
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Compartmental Models Driven by Renewal Processes: Survival Analysis and Applications to SVIS Epidemic Models by Divine Wanduku, Md Mahmud Hasan

“…The novel SVIS model is formulated as a non-autonomous nonlinear system (NANLS) of ordinary differential equations (ODEs), with coefficients defined by HRFs. …”
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Microstructure and Nonohmic Properties of SnO2-Ta2O5-ZnO System Doped with ZrO2 by Xiuli Fu, Feng Jiang, Ruichao Gao, Zhijian Peng

“…In the designed range, varistors with 1.0 mol% ZrO2 presented the maximum nonlinear exponent of 15.9 and lowest leakage current of 110 μA/cm2, but the varistor voltage increased monotonously with the doping amount of ZrO2.…”
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Homotopy Analysis of the Radiation Effect on MHD Flow with Heat and Mass Transfer due to a Point Sink by C. N. Guled, B. B. Singh

“…The HAM produces an analytical solution of the governing self-similar nonlinear two-point boundary layer equations. The effects of the suction/injection, magnetic, and radiation parameters over the obtained solution have been discussed. …”
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Prediction of mechanical behavior of epoxy polymer using Artificial Neural Networks (ANN) and Response Surface Methodology (RSM) by Khalissa Saada, Salah Amroune, Moussa Zaoui

“…In addition, the experimental results indicated that the mechanical properties of both (Young's Modulus value and stress value) were higher in an intact specimen. Afterwards, the nonlinear functional relationship of input parameters between epoxy sample geometries and sections was established using the response surface model (RSM) and the artificial neural network (ANN) to predict the output parameters of mechanical properties (Young's Modulus and stress). …”
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Perspectives of Experts in the Selection of Contents for a Course of Differential Equations in Engineering by José Luis Díaz Palencia

“…Notably, experts highlighted variational calculus and energy representations as critical yet underrepresented areas in Differential Equations courses, essential for modeling complex, nonlinear problems. The study also states on the growing importance of computational methods and software in engineering education, advocating for an integrated approach aligning theoretical concepts with real-world applications. …”
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Impact of Different Mode Decomposition Methods Combined with LSTM Models on Daily Runoff Forecasting by TAN Yongjie, WANG Xianxun, DUAN Mingxu, LIU Yaru, YAO Huaming

“…A combination of modal decomposition and deep learning forecasting methods was introduced to daily runoff forecasting to address the characteristics of unstable and volatile daily runoff series.Firstly,the complete ensemble empirical modal decomposition method was used to decompose the daily runoff time series,so as to obtain the modal components of different frequency components.Secondly,the daily runoff forecasting model was constructed for different modal components based on the long short-term memory neural network (LSTM),and the hyperparameters of the forecasting model were optimized using the grid search parametric optimization algorithm.Finally,the forecasting results of each model were modally reconstructed to obtain daily runoff forecasting results.The daily runoff forecasting of the Yichang hydrological station was taken as an example.Compared with the single LSTM,the RMSE,MAE,and MAPE of the proposed combination model were reduced by 65.02%,58.35%,and 2.88%,respectively.The decomposition effect of the complete ensemble empirical mode decomposition was better than that of the traditional modal decomposition method,which provided a new method and reference for nonlinear and non-stable daily runoff forecasting in a short time scale.…”
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Unsteady Electrohydrodynamic Stagnation Point Flow of Hybrid Nanofluid Past a Convective Heated Stretch/Shrink Sheet by Muhammad Jawad, Rashid Jan, Salah Boulaaras, Ibni Amin, Niaz Ali Shah, Sahar Ahmed Idris

“…HAM is applied for the solution to the obtained nonlinear system. The magnetic input factor, Prandtl number, electric field factor, Eckert number, heat source factor, and unstable factor are the governing parameters. …”
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Wind Turbine Aerodynamic Performance by Lifting Line Method by Horia Dumitrescu, Vladimir Cardos

“…The model is not a free wake model, but it is still a nonlinear one which should be solved iteratively. In addition to the regular case where the trailing vortices are constrained to distribute along a helical surface, another version, where each trailing vortex sheding from the blade grows as a free helical vortex line, is also included. …”
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Optimal Operation Scheme with Short-Turn, Express, and Local Services in an Urban Rail Transit Line by Tao Feng, Siyu Tao, Zhengyang Li

“…Then, a mixed-integer nonlinear program (MINLP) model is formulated, and linearization techniques are utilized to transform the MINLP model into a mixed-integer linear programming (MILP) model that can be easily solved by commercial optimization solvers. …”
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Experimental Exploration of Bearing Capacity of Clay with Multiple Inflatable Anchors by Qiu-nan Chen, Meng Yang, Xiao-cheng Huang

“…It is found that the failure behavior of multiple inflatable anchors exhibits a three-stage curve: an initial linear stage, followed by nonlinear, and steady-state stages. In addition, the ultimate bearing capacity of multiple inflatable anchors is maximized if the ratio of the spacing of inflatable anchors to the equivalent expanding section diameter of an inflatable anchor is 6.84. …”
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Optimal Homotopy Asymptotic Analysis of the Dynamics of Eyring-Powell Fluid due to Convection Subject to Thermal Stratification and Heat Generation Effect by Solomon Bati Kejela, Emiru Rufo Adula

“…The governing equations of the flow are transformed from partial differential equations into a couple of nonlinear ordinary differential equations via similarity variables. …”
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Research on Slope Angle of Base for Asphalt-Concrete Core Dam by FAN Dongyang, WANG Junjie, LI Yuqiao

“…This study takes Miaotang Reservoir in Wushan of Chongqing as an example and uses the nonlinear finite element method (FEM) to analyze the stress and deformation characteristics of concrete bases during the completion and impoundment periods and tensile stress graphs for different base shapes.The effort is to study the influence of the slope angle of the base for the asphalt-concrete core dam on its stress and deformation.The results show that during the completion period,the horizontal displacement,settlement,and principal stress of the base slowly increase as the upstream or downstream slope angle grows.During the impoundment period,the horizontal displacement and settlement of the base gradually decrease with the reduction in the upstream or downstream slope angle.In addition,a greater upstream slope angle can lower the principal stress while a greater downstream slope angle has the opposite effect.In the two working conditions,when the slope angle on both sides of the base increases at the same time,the value of compressive stress will rise,and the value of tensile stress will drop.The change in the slope angle on one side of the base has a stronger influence on the tensile stress graph than that on both sides.It is recommended to use a base with a larger slope angle on the upstream side and a smaller slope angle on the downstream side to improve the stress and deformation within the range of 58° to 90°.…”
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Sparse Graph Embedding Based on the Fuzzy Set for Image Classification by Minghua Wan, Mengting Ge, Tianming Zhan, Zhangjing Yang, Hao Zheng, Guowei Yang

“…In recent years, many face image feature extraction and dimensional reduction algorithms have been proposed for linear and nonlinear data, such as local-based graph embedding algorithms or fuzzy set algorithms. …”
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Achieving Fair Spectrum Allocation and Reduced Spectrum Handoff in Wireless Sensor Networks: Modeling via Biobjective Optimization by Sang-Seon Byun, Kimmo Kansanen, Ilangko Balasingham, Joon-Min Gil

“…We cast this problem into a multiobjective mixed integer nonconvex nonlinear programming that is definitely difficult to solve at least globally without any aid of conversion or approximation. …”
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Research on rotor fault identification based on the integration of symbolic entropy and evidence theory by SHAN Song, CHEN HongMing, LIU JingXuan, DENG ShuaiQin, SU Yu

“…A rotor fault identification method integrating symbolic entropy and evidence theory was proposed for the problem of the difficulty to accurately identify the fault state caused by the nonlinearity and nonstationarity of the rotor vibration signal. …”
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Acoustic analysis using symmetrised implicit midpoint rule by N. Razali, N.B. Masnoor, S. Abdullah, M.F.H.M. Zainaphi

“…The forward time central space square equation is an unstable method with minimal usefulness, which can only study waves for short fractions of one oscillation period. Therefore, nonlinear instability and shock formation are controlled by numerical viscosities such as those discussed with the Lax method equation. …”
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Research and DSP Implementation of Speech Enhancement Technology Based on Dynamic Mixed Features and Adaptive Mask by Jie Yang, Yachun Tang

“…The dynamic features incorporate the log Mel power spectrum, Mel cepstral coefficients, and Multiresolution Auditory Cepstral Coefficients (MRACC) and capture the speech transient information by deriving the derivatives to comprehensively represent the nonlinear structure of speech and reduce distortion. …”
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On the Inertia Term of Projectile's Penetration Resistance by Yu Shan, Haijun Wu, Fenglei Huang, Jinzhu Li

“…The effect of the target inertia term of rigid kinetic energy projectiles (KEP’s) penetration resistance is investigated using nonlinear dynamic code LS-DYNA and four constitutive models. …”
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Exposing hidden periodic orbits in scanning force microscopy by Lukas Böttcher, Hannes Wallner, Niklas Kruse, Wolfram Just, Ingo Barke, Jens Starke, Sylvia Speller

“…Abstract The nonlinear interaction between the tip of a scanning probe microscope (SPM) and a sample is manifested in the emergence of bifurcations and unstable branches in the frequency response of a driven cantilever. …”
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