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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EXPERIMENTAL ANALYSIS AND NUMERICAL SIMULATION ON SAG RESISTANCE OF RUBBER CONVEYOR BELT by CHEN HongYue, LI YongHong, MAO Jun, ZHANG Yu, WANG Xin

“…Pressure resistance nonlinearly increase with the increasing of pressure as the effect of cover layer of viscoelasticity and the hysteretic nature. …”
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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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The Principal Parametric Resonance of Coupled van der Pol Oscillators under Feedback Control by Xinye Li, Huabiao Zhang, Lijuan He

“…It is found that nontrivial solutions corresponding to periodic motions exist only for one oscillator if no feedback control is applied although the two oscillators are nonlinearly coupled. Based on Levenberg-Marquardt method, the effects of excitation and control parameters on the amplitude of periodic solutions of the system are graphically given. …”
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The Study of Influence of Freeze-Thaw Cycles on Silty Sand in Seasonally Frozen Soil Regions by Zhijie Yu, Jianhong Fang, Anhua Xu, Wenjun Zhou

“…The cohesion decreases and the internal friction angle decreases nonlinearly. The dynamic shear modulus and damping ratio do not change significantly. …”
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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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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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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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Second order sliding mode control with proportional integral observer for wing rock by Ahmad Mahmood, Jamshed Iqbal

“…A second order sliding mode control (SOSMC) based on a proposed nonlinear sliding manifold is designed to achieve improved transient response and control performance by robustness. …”
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Combined lock-in thermography and heat flow measurements for analysing heat dissipation during fatigue crack propagation by J. Bär, A. Vshivkov, O. Plekhov

“…Whereas the thermography measurements show a linear decrease of the signal with rising crack length, the heat flow measurements show a clearly nonlinear dependency. Obviously the measured energies in thermography and peltier based heat flow measurement are not comparable…”
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The Union between Structural and Practical Identifiability Makes Strength in Reducing Oncological Model Complexity: A Case Study by Maria Pia Saccomani, Karl Thomaseth

“…The most widely used are nonlinear ODE models, whose identification is often difficult due to experimental limitations. …”
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Cycle-based formulations in Distance Geometry by Liberti, Leo, Iommazzo, Gabriele, Lavor, Carlile, Maculan, Nelson

“…Solution algorithms are generally constructed using local or global nonlinear optimization techniques. We present a new modelling technique for this problem where, instead of deciding vertex positions, the formulations decide the length of the segments representing the edges in each cycle in the graph, projected in every dimension. …”
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Convergence Region of Newton Iterative Power Flow Method: Numerical Studies by Jiao-Jiao Deng, Hsiao-Dong Chiang

“…In addition, the convergence regions of NR method for power flow equations with different nonlinear load models are also fractal. This fractal property highlights the importance of choosing initial guesses since a small variation of an initial guess near the convergence boundary leads to two different power flow solutions. …”
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International Gold Price Forecast Based on CEEMDAN and Support Vector Regression with Grey Wolf Algorithm by Wanbo Lu, Tingting Qiu, Wenhui Shi, Xiaojun Sun

“…This hybrid model combines the methodology of complex systems with machine learning techniques, making it more appropriate for analyzing relationships such as high-frequency dependences and solving complex nonlinear problems. Finally, the final result is obtained by combining the forecasting results of the three subsequences. …”
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Study on the Deformation and Stability of Proppant Column in High-Conductivity Channel Fracturing by Ming Wang, Feng Zhang, Hanxiang Wang

“…The nonlinear constitutive model of the proppant column was established through laboratory experiments on the stability of the proppant column. …”
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A Survey on High-Order Internal Model Based Iterative Learning Control by Miao Yu, Sheng Chai

“…HOIM can be formulated as a polynomial in the iteration domain, which is auto-regressive. HOIM-based ILC for nonlinear systems is more complex than HOIM-based ILC for linear systems, and when the system parameters change iteratively, the Lyapunov-based analysis method is used instead of traditional contraction mapping method. …”
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