Numerical solutions for fractional optimal control problems using Mü‎‎‎‎‎‎‎ntz-Legendre polynomials by Mohammad Sahabi, Allahbakhsh Yazdani Cherati

“…Consequently, the fractional optimal control problem is transformed into a nonlinear programming problem through collocation points, yielding unknown coefficients. …”
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Joint optimization strategy of service cache and resource allocation in mobile edge network by Long LONG, Zichen LIU, Zaiwang LU, Yucheng ZHANG, Lei LI

“…Aiming at the problem that computing and storage resources of edge node in a mobile edge computing (MEC) system were limited, and excessive task offloading would cause the mismatch between the computing capacity and the load capacity of the edge server, resulting in the increase of task processing delay, the joint optimization of task offloading and storage resources under the three-layer network architecture composed of multi-user, edge server and cloud server was studied to reduce the overall system delay.For the problem was a mixed integer nonlinear problem, a joint optimization strategy of service caching and resource allocation was proposed.First, the continuous and discrete variables of the original problem were decoupled into two sub-problems, namely, the service cache decision problem and the joint optimization problem of computing resources and communication resources.Then, the linear reconstruction, relaxation method and convex optimization method were used to alternately optimize the two sub-problems to obtain the near-optimal solution.Simulation results demonstrate that the proposed strategy can obtain a near-optimal performance with low complexity, and can reduce up to 10% of the task duration compared with other strategies.…”
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Free Vibration and Hardening Behavior of Truss Core Sandwich Beam by J. E. Chen, W. Zhang, M. Sun, M. H. Yao

“…The dynamic characteristics of simply supported pyramidal truss core sandwich beam are investigated. The nonlinear governing equation of motion for the beam is obtained by using a Zig-Zag theory. …”
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An Artistic Image Fusion Method with Improved Cartoon-Texture Decomposition by Zhou Meng

“…An improved cartoon-texture decomposition method for art image fusion is proposed. The nonlinear local total variation component is used as the indicator function of image decomposition to obtain the image cartoon structure component and texture oscillation component. …”
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Simulation of Electron Acoustic Wave Propagation in Non-Uniform Magnetized Plasma by Hamid Reza Pakzad

“…Furthermore, our theoretical analysis brings a possibility to develop more refined theories of nonlinear acoustic waves that may occur in astrophysical nonuniform magnetixed plasmas.…”
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Optical Solutions of the Date–Jimbo–Kashiwara–Miwa Equation via the Extended Direct Algebraic Method by Ghazala Akram, Naila Sajid, Muhammad Abbas, Y. S. Hamed, Khadijah M. Abualnaja

“…In this study, the solutions of 2+1-dimensional nonlinear Date–Jimbo–Kashiwara–Miwa (DJKM) equation are characterized, which can be used in mathematical physics to model water waves with low surface tension and long wavelengths. …”
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D2D cooperative caching strategy based on graph collaborative filtering model by Ningjiang CHEN, Linming LIAN, Pingjie OU, Xuemei YUAN

“…A D2D cooperative caching strategy based on graph collaborative filtering model was proposed for the problem of difficulty in obtaining sufficient data to predict user preferences in device-to-device (D2D) caching due to the limited signal coverage of base stations.Firstly, a graph collaborative filtering model was constructed, which captured the higher-order connectivity information in the user-content interaction graph through a multilayer graph convolutional neural network, and a multilayer perceptron was used to learn the nonlinear relationship between users and content to predict user preferences.Secondly, in order to minimize the average access delay, considering user preference and cache delay benefit, the cache content placement problem was modeled as a Markov decision process model, and a cooperative cache algorithm based on deep reinforcement learning was designed to solve it.Simulation experiments show that the proposed caching strategy achieves optimal performance compared with existing caching strategies for different content types, user densities, and D2D communication distance parameters.…”
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Financial Development and Inequality: A Critique of Theoretical Foundations of Published Texts in Iran by Abolfazl Noferesti

“…These studies are mainly based on the Greenwood and Jovanovic’s nonlinear hypothesis or the Banerjee and Newman’s negative linear hypothesis. …”
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An Improved Harmony Search Algorithm for Power Distribution Network Planning by Wei Sun, Xingyan Chang

“…Distribution network planning because of involving many variables and constraints is a multiobjective, discrete, nonlinear, and large-scale optimization problem. Harmony search (HS) algorithm is a metaheuristic algorithm inspired by the improvisation process of music players. …”
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Asian Options Pricing and Parameter Estimation of Uncertain Mean-Reverting Currency Model With Exponential Ornstein–Uhlenbeck Exchange Rate by Lujun Zhou, Zhigang Fu

“…Additionally, the paper investigates the nonlinear relationship between option prices and expiration time. …”
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Synthesis and Kinematic Analysis for Bi-objective Path of Six-bar Linkage by Guangzhen Cui, Yanqiu Xiao, Caidong Wang, Zhiqiang Guo

“…Firstly，based on the set of nonlinear equations of bi-objective path for six-bar linkage，five general precision points is the largest number that can be achieved precision bi-objective path of six-bar linkage. …”
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Studies on the Effects of Interphase Heat Exchange during Thermal Explosion in a Combustible Dusty Gas with General Arrhenius Reaction-Rate Laws by K. S. Adegbie, F. I. Alao

“…The equations governing the physical model with realistic assumptions are stated and nondimensionalised leading to an intractable system of first-order coupled nonlinear differential equations, which is not amenable to exact methods of solution. …”
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Effect of Ground Motion Orientation on Seismic Responses of an Asymmetric Stress Ribbon Pedestrian Bridge by Yi Zhang, Wuchuan Pu, Qishuo Zhang, Kaiwen Liu, Hua Dong

“…The stress ribbon bridge uses ribbon in high tension to transfer loads and exhibits geometric nonlinearity under dynamic earthquake excitations. A typical double-span asymmetric stress ribbon pedestrian bridge was introduced as a prototype, and nonlinear time history analysis was performed to investigate the effect of ground motion orientation on the structural responses. …”
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Multiple-Model Cardinality Balanced Multitarget Multi-Bernoulli Filter for Tracking Maneuvering Targets by Xianghui Yuan, Feng Lian, Chongzhao Han

“…Then, the extended Kalman (EK) and unscented Kalman filtering approximations for the GM-MM-CBMeMBer filter to accommodate mildly nonlinear models are described briefly. Simulation results are presented to show the effectiveness of the proposed filter.…”
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Novel Evaluation of Fuzzy Fractional Helmholtz Equations by Meshari Alesemi, Naveed Iqbal, Noorolhuda Wyal

“…It is critical to emphasize that the purpose of the proposed fuzziness approach is to demonstrate the efficiency and superiority of numerical solutions to nonlinear fractional fuzzy partial differential equations that arise in complex and physical structures.…”
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Flexural behavior of delta and bi-delta cold-formed steel beams: experimental investigation and numerical analysis by Yazid Hadidane, Nadia Kouider, Mohammed Benzerara

“…The properties of this type of sections are most often based on the method involving the effective width designated by the Eurocode 3 standard. A nonlinear analysis by finite elements (FE) using the ABAQUS calculation program is carried out, thus making it possible to compare the experimental results with the numerical ones as well as those which are given by the theory proposed by Eurocode 3. …”
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A Numerical Simulation of Extratropical Storm Surge and Hydrodynamic Response in the Bohai Sea by Yumei Ding, Lei Ding

“…It is shown that the simulated storm surge and tides agree well with the observations. The nonlinear interaction between the surge and astronomical tides, the spatial distribution of the maximum surge level, and the hydrodynamic response to the storm surge are studied. …”
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Heat Transport Hysteresis Generated Through Frequency Switching of a Time-Dependent Temperature Gradient by Renai Chen, Galen T. Craven

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Observations on Harmonics Summation in Transmission Systems: Alternative Aggregation Estimation by Rafael S. Salles, Maise N. S. Silva, Paulo F. Ribeiro

“…Harmonic summation analysis and estimation is not a simple task since there will be variations because of the grid complexity, nonlinear sources, and unpredictable behaviour of harmonic currents that affect the results. …”
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Vector Bond Graph Method of Kineto- static Analysis for Hybrid Driving Five Linkage Mechanism by Wang Zhongshuang, Wang Xifeng

“…For the algebraic difficulties brought by differential causality and nonlinear junction structure in automatic modeling and dynamics analysis of this kind mechanism,the effective bond graph augment method is proposed. …”
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