Thermal performance and MHD peristaltic flow of hybrid nanofluid (Au-Ta/Blood) in an asymmetric conduit with electro-osmosis and shape factor effects by K. Thirunavukarasan, G. Sucharitha

“…The current research aims to create a mathematical model for targeted drug delivery systems, applicable in areas like cancer treatment, genetic disorder therapies, and infection management. …”
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Vaccine-induced reduction of COVID-19 clusters in school settings in Japan during the epidemic wave caused by B.1.1.529 (Omicron) BA.2, 2022 by Yuta Okada, Hiroshi Nishiura

“…Given this background and considering that vaccine effectiveness against school transmission has not been intensively studied, this paper proposes a mathematical model that links the occurrence of clustering to the case count among populations aged 0–19, 20–59, and 60+ years of age. …”
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Analysis of the Outer Contour Characteristics of Roadway Forming under the Influence of Cutting Head Vibration by Zhixiang Liu, Shuai Wang, Miao Xie, Chunxue Xie

“…The variation law of the vibration swing angle of the cutting head under different working conditions was obtained, and the coordinate of the cutting head of the roadheader in the roadway space coordinate system was determined by using the robot kinematics analysis method. The mathematical model of cutting the outer outline of the roadway by the cutting head is constructed. …”
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Numerical Simulation of Channelization Near the Wellbore due to Seepage Erosion in Unconsolidated Sands during Fluid Injection by Jin Sun, Shiguo Wu, Jingen Deng, Qingping Li, Qi Fan, Linwei Ma, Yanrui Liu

“…Based on the continuum mechanics, a mathematical model has been established to simulate the formation process of big channels in unconsolidated sands reservoir during fluid injection. …”
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The Research on Strain-Softening Characteristics and Local Fracture Law of Deep Granite Roadway by Chuang Sun, Yunhe Ao, Laigui Wang

“…A strain-softening model was developed based on plasticity theory for granite which took into account the nonlinear dilatancy angle and confining pressure. A mathematical model was developed using FLAC3D as platform. …”
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Geographical Peer Matching for P2P Energy Sharing by Romaric Duvignau, Vincenzo Gulisano, Marina Papatriantafilou, Ralf Klasing

“…We define and analyze in this work a precise mathematical modeling of the geographical peer matching problem, and demonstrate the inherent intractability of the problem, highlighting its high computational cost and underscoring the critical need for scalable approaches that effectively balance performance trade-offs as system size grows. …”
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Problematic Issues of Calculating the Size of Damage from the Use of Land Plots for Other Purposes within the Practice of Law Enforcement Agencies by I. V. Bryhadyr, I. V. Panova

“…The foundations of the research methodology constitute: comparative and legal method, which assisted to study the requirements of EU and Ukrainian legislative acts; the method of systematic analysis, which allowed to reveal the legal mechanisms for calculating the amount of damage caused to the state and territorial communities from the use of land plots for other purposes; method of mathematical modeling, which allowed to form propositions for improving the formula of calculating the damage caused by the misuse of land plots. …”
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An Algorithm for Optimal Allocation of Water Resources in Receiving Areas Based on Adaptive Decreasing Inertia Weights by Fei Li, Guang Zhang, Shaohua Hu

“…This paper firstly selects the minimum loss of water resources allocation as the objective function for mathematical modelling, chooses the particle swarm algorithm as the objective algorithm, and proposes a particle swarm algorithm based on the standard particle swarm algorithm with improved adaptive decreasing inertia weights. …”
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A New Method for Research on Unsteady Pressure Dynamics and Productivity of Ultralow-Permeability Reservoirs by Kun Wang, Li Li, Xiao Chen, Wei Liang, Yong Yang, Zhenghe Yan, Jianwen Dai, Wei Li, Yahui Wang, Weifang Wang, Min Li, Danling Wang

“…On that basis, instead of a constant skin factor, a well-test interpretation mathematical model is established by defining and using a time-varying skin factor. …”
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Mine Geological Environment Monitoring and Risk Assessment in Arid and Semiarid Areas by Jiaqi Jin, Chicheng Yan, Yixuan Tang, Yilong Yin

“…Based on the above background, this thesis takes the coal mining area in the arid and semiarid regions as an example; applies the theories of ecology, coal mining subsidence, geodesy, and ecological restoration; uses remote sensing in synthetic aperture radar (SAR), geographic information system (GIS), and mathematical modelling to reveal the ecological evolution law of the mining area; measures the ecological damage of the mining area; and then proposes a reasonable ecological restoration strategy. …”
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A Proactive Robust Scheduling Method for Aircraft Carrier Flight Deck Operations with Stochastic Durations by Xichao Su, Wei Han, Yu Wu, Yong Zhang, Jie Liu

“…On this basis, a mathematical model of the robust scheduling problem for flight deck operation (RSPFDO) is established, and the goal is to maximize the probability of completing within the limitative makespan (PCLM) and minimize the weighted sum of expected makespan and variance of makespan (IRM). …”
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Fleet Management for HDVs and CAVs on Highway in Dense Fog Environment by Bowen Gong, Ruixin Wei, Dayong Wu, Ciyun Lin

“…As to improve the traffic flow throughput and driving safety in dense fog weather condition on highway, this paper uses a mathematical modeling method to study and control the fleet mixed with human-driven vehicles (HDVs) and connected automatic vehicles (CAVs) in dense fog environment on highway based on distributed model predictive control algorithm (DMPC), along with considering the car-following behavior of HDVs driver based on cellular automatic (CA) model. …”
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An improved Fully Homomorphic Encryption model based on N-Primes by Mohammed Anwar Mohammed, Fadhil Salman Abed

“…This paper, develops and designs a new mathematical model to achieve the characteristics of the Fully Homomorphic Encryption. …”
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COMPLEX FOR MONITORING OF SEWAGE OPTICAL DENSITY CHANGES by V. A. Alekseev, V. P. Usoltcev, S. I. Yuran, D. N. Shulmin

“…The structural scheme of a complex of monitoring of the water environment is provided. The mathematical model of a complex of optoelectronic monitoring over the water environment on the example of sewage of the enterprise is considered. …”
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Assessing National and Military Security of Russia: Established Procedure and How to Improve It by S. P. Belokon’

“…One part of the solution could be a mathematical modelling of a decision-making process and a formalization of a target level of military security on the basis of a fuzzy set theory.…”
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Complexity to Forecast Flood: Problem Definition and Spatiotemporal Attention LSTM Solution by Yirui Wu, Yukai Ding, Yuelong Zhu, Jun Feng, Sifeng Wang

“…Taking Lech and Changhua river basins as cases of physical space, several groups of comparative experiments show that STA-LSTM is capable to optimize complexity of mathematically modeling floods in cyber space.…”
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Detection and Adaptive Video Processing of Hyperopia Scene in Sports Video by Qingjie Chen, Minkai Dong

“…By introducing the mathematical model of image processing, the traditional motion detection algorithm is improved and the improved motion detection algorithm is implemented in the system. …”
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Application of Image Recognition Algorithm Based on Partial Differential Equation and Wavelet Transform in the Intelligent Linkage System of Government Urban Public Management by Xinyu Xu

“…The method of mathematical modeling is used to combine the improved wavelet domain Wiener filter and the comprehensive model of partial differential equations. …”
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Traveling Wave Solutions and Infinite-Dimensional Linear Spaces of Multiwave Solutions to Jimbo-Miwa Equation by Lijun Zhang, C. M. Khalique

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Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method by Hossein Jafari, Maryam Ghorbani, Chaudry Masood Khalique

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