Article
Mathematics
Lan Wang, Nan Li, Ming Xie
Summary: This study proposes an ensemble learning method with the least squares boosting algorithm for predicting greenhouse gas emissions using a kernel-based nonlinear multivariate grey model. The empirical analysis shows that this method achieves remarkable prediction performance in estimating greenhouse gas emissions.
JOURNAL OF MATHEMATICS
(2022)
Article
Thermodynamics
Hai-Bao Chen, Ling-Ling Pei, Yu-Feng Zhao
Summary: This research aims to forecast seasonal fluctuations in electricity consumption and usage efficiency of industrial sectors, while identifying the impacts of COVID-19. A new model, AWBO-DGGM(1,1), is proposed to analyze the data from 2013 to 2020 in Zhejiang Province, China. The results show that the model can accurately predict seasonal variations and the impact of COVID-19 on industrial systems.
Article
Thermodynamics
Hui Li, Zixuan Wu, Xing Yuan, Yixuan Yang, Xiaoqiang He, Huiming Duan
Summary: The unbalanced development among energy price, energy consumption, and economic growth will destroy the stability of the energy market. By establishing nonlinear differential equations and a grey prediction model group, the coal price and consumption in China can be effectively predicted.
Article
Computer Science, Artificial Intelligence
Wen-Ze Wu, Zhiming Hu, Qin Qi, Tao Zhang
Summary: This paper proposes a nonlinear grey Bernoulli model with a combined fractional accumulated generation operator for forecasting China's petroleum consumption. The model is optimized using a marine predation algorithm. The results show that the proposed model outperforms other benchmark models in terms of prediction accuracy.
COMPLEX & INTELLIGENT SYSTEMS
(2023)
Article
Energy & Fuels
Jun Zhang, Yanping Qin, Huaqiong Duo
Summary: This research introduces a novel FPDGM(1,1) model for predicting natural gas consumption, which is validated through cases in various cities in China, demonstrating its superiority over other models. Ultimately, suggestions for China's natural gas development plan are proposed based on the predictive results of the model.
Article
Thermodynamics
Song Ding, Zui Tao, Huahan Zhang, Yao Li
Summary: An optimized structure adaptive grey model is proposed in this paper, providing a generalized time response function theoretically and accurately modifying the background value based on Simpson's rule. Monte-Carlo Simulation and probability density analysis (PDA) reveal the robustness and reliability of the model. Experimental results show that the new technique significantly outperforms competitors from two different perspectives of PDA and level accuracy, and can still provide accurate forecasts across different forecast horizons.
Article
Engineering, Multidisciplinary
Lianyi Liu, Lifeng Wu
Summary: A new adjacent non-homogeneous grey model was proposed to predict renewable energy consumption in Europe, emphasizing the weight relationship between the latest value and historical data. The model's parameters were optimized using a heuristic algorithm, and its performance was tested with examples from four central European countries. Predictions were also made for Europe and world renewable energy consumption, showing a gradual decline in Europe's share of global consumption.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Mathematics
Jiri Tomcala
Summary: The study introduces a new prediction method called RTDP, which utilizes random time-delay patterns to identify important parts of a time series for predicting future developments. Compared to other methods, RTDP proved to be the most accurate and second fastest in predicting supercomputer infrastructure power consumption.
Article
Thermodynamics
Tao Tang, Weiheng Jiang, Hui Zhang, Jiangtian Nie, Zehui Xiong, Xiaogang Wu, Wenjiang Feng
Summary: A new seasonal-index model based on grey model optimization is proposed for accurate monthly electric load forecasting. The model combines trend equations and grey model prediction to improve forecast accuracy. It shows high accuracy and low execution complexity in the test with typical industry data.
Article
Engineering, Multidisciplinary
Bin Li, Jing Gao
Summary: This paper uses the entropy method, coupling coordination model, and GM (1, 1) grey prediction model to analyze the comprehensive development level and the degree of coupling coordination between tourism and regional development. The results show that the degree of coupling and coordination between tourism and regional development is steadily increasing, indicating an enhancing role of tourism in regional development.
MATHEMATICAL PROBLEMS IN ENGINEERING
(2022)
Article
Green & Sustainable Science & Technology
Mingyun Gao, Honglin Yang, Qinzi Xiao, Mark Goh
Summary: This study proposes a carbon emissions forecasting method based on the Gompertz model, achieving good prediction accuracy and efficiency through grey processing and chaotic whale optimization algorithm. Analysis shows an increasing trend in industrial carbon emissions in the United States, and future forecasts indicate that current policies will not meet the commitments under the United Nations Framework Convention on Climate Change.
Article
Thermodynamics
Mingyu Tong, Jingrong Dong, Xilin Luo, Dejun Yin, Huiming Duan
Summary: An optimized grey prediction model is proposed in this paper, optimized by simulated annealing algorithm, and successfully applied to forecast the coal consumption of China, India and the United States for the next five years, with results showing better prediction accuracy than traditional models.
Article
Computer Science, Artificial Intelligence
Song Ding, Zui Tao, Jiaqi Hu
Summary: This paper proposes a novel grey multivariable convolution model that addresses the limitations of traditional grey models through collaborative optimization. The Particle Swarm Optimization algorithm is used to determine the optimal parameter values. The empirical results demonstrate the reliability and potential of this novel model for accurate forecasting in high-tech industries.
APPLIED SOFT COMPUTING
(2022)
Article
Mathematics, Applied
Lang Yu, Xin Ma, Wenqing Wu, Yong Wang, Bo Zeng
Summary: A hybrid method combining Elastic Net and multi-objective optimization is introduced to improve the generality of the NGBMC (1, n) model, effectively solving the ill-posed problem. The parameter identification of the new model is optimized using the alternating direction method of multipliers and the multi-objective grey wolf optimizer. The use of Elastic Net regularization method and multi-objective optimization technology significantly improves the prediction accuracy of the NGBMC (1, n) model for future data, showing high potential for improving other grey models.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Thermodynamics
Meng Wang, Wei Wang, Lifeng Wu
Summary: Scientific prediction of regional energy is of practical significance for rational control of energy supply. In this paper, the grey relational analysis and the FGM(1,1) model are used to analyze the samples, and a new grey multi-variable AGMC(1,N) model is used to study 13 provinces (cities) in 7 different regions of China. The results show that energy consumption in Central China will decrease in the short term, while it will continue to rise in the other regions.
Article
Green & Sustainable Science & Technology
Zheng-Xin Wang, Qin Li
JOURNAL OF CLEANER PRODUCTION
(2019)
Article
Green & Sustainable Science & Technology
Zhengxin Wang, Minghuan Shou, Shuai Wang, Ruinan Dai, Keqian Wang
Article
Physics, Multidisciplinary
Zheng-Xin Wang, Dan-Dan Li, Hong-Hao Zheng
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2020)
Article
Environmental Sciences
Qin Li, Zheng-Xin Wang, Xiang-Yu Zhang
ENVIRONMENTAL SCIENCE AND POLLUTION RESEARCH
(2020)
Article
Thermodynamics
Zheng-Xin Wang, Zhi-Wei Wang, Qin Li
Article
Environmental Sciences
Ming-Huan Shou, Zheng-Xin Wang, Dan-Dan Li, Yi Wang
ENVIRONMENTAL SCIENCE AND POLLUTION RESEARCH
(2020)
Article
Environmental Sciences
Yu-Feng Zhao, Ming-Huan Shou, Zheng-Xin Wang
INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH
(2020)
Article
Computer Science, Artificial Intelligence
Zheng-Xin Wang, Yu-Feng Zhao, Ling-Yang He
APPLIED SOFT COMPUTING
(2020)
Article
Mathematics, Applied
Zheng-Xin Wang, Yue-Qi Jv
Summary: A novel grey prediction model based on quantile regression technology (QGM(1,1) model) is proposed to address the issue of traditional grey prediction models being influenced by outliers and lacking stability. The QGM(1,1) model accurately describes the impact of independent variables on the range and shape of dependent variables, as well as captures tail characteristics of the distribution. Results show that the model significantly improves prediction accuracy and enhances robustness.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Business
Zheng-Xin Wang, Yue-Qi Jv
Summary: The non-linear systematic grey model NSGM(1, m) accurately identifies the non-linear relationship among industrial economic growth, energy consumption, and pollutant emissions, with a good performance in predicting data. The empirical analysis of Zhejiang Province shows detailed predictions for the industrial 3E systems in the region.
TECHNOLOGICAL FORECASTING AND SOCIAL CHANGE
(2021)
Article
Computer Science, Artificial Intelligence
Zheng-Xin Wang, Ling-Yang He, Yu-Feng Zhao
Summary: A novel gray model based on seasonal dummy variables and its derived model were established to accurately forecast the seasonal fluctuations of US natural gas consumption. Empirical analysis showed that the predicted results outperformed traditional forecasting models, providing insights into the seasonal trends of US natural gas consumption in the coming years.
APPLIED SOFT COMPUTING
(2021)
Article
Business
Ming-Huan Shou, Zheng-Xin Wang, Wen-Qian Lou
Summary: This paper utilizes confirmed cases of COVID-19 from January 20 to March 18, 2020 to construct an SEIR model, evaluating the effects of different non-pharmaceutical interventions. The results show that type-A and type-B interventions can delay the timing of large-scale infections and decrease the peak number of exposed cases, with type-B interventions having more significant effects on susceptible and exposed populations. Type-C interventions focusing on improving recovery rates can effectively reduce the peak number of patients and mortality rate.
TECHNOLOGICAL FORECASTING AND SOCIAL CHANGE
(2021)
Article
Business, Finance
Zheng-Xin Wang, Yue-Qi Jv
Summary: A smooth difference-in-differences (smooth DID) method is proposed to examine the effects of banking deregulation on income distribution in the United States. The findings confirm that bank deregulation gradually reduces income inequality.
FINANCE RESEARCH LETTERS
(2022)
Article
Economics
Zheng-Xin Wang, Wen-Qian Lou, Ling-Ling Pei
TECHNOLOGICAL AND ECONOMIC DEVELOPMENT OF ECONOMY
(2020)
Article
Mathematics, Interdisciplinary Applications
Zheng-Xin Wang, Ji-Min Wu, Chao-Jun Zhou, Qin Li
GREY SYSTEMS-THEORY AND APPLICATION
(2020)
Article
Engineering, Multidisciplinary
A. A. Aganin, A. I. Davletshin
Summary: A mathematical model of interaction of weakly non-spherical gas bubbles in liquid is proposed in this paper. The model equations are more accurate and compact compared to existing analogs. Five problems are considered for validation, and the results show good agreement with experimental data and numerical solutions. The model is also used to analyze the behavior of bubbles in different clusters, providing meaningful insights.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Hao Wu, Jie Sun, Wen Peng, Lei Jin, Dianhua Zhang
Summary: This study establishes an analytical model for the coupling of temperature, deformation, and residual stress to explore the mechanism of residual stress formation in hot-rolled strip and how to control it. The accuracy of the model is verified by comparing it with a finite element model, and a method to calculate the critical exit crown ratio to maintain strip flatness is proposed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Shengwen Tu, Naoki Morita, Tsutomu Fukui, Kazuki Shibanuma
Summary: This study aimed to extend the finite element method to cope with elastic-plastic problems by introducing the s-version FEM. The s-version FEM, which overlays a set of local mesh with fine element size on the conventional FE mesh, simplifies domain discretisation and provides accurate numerical predictions. Previous applications of the s-version FEM were limited to elastic problems, lacking instructions for stress update in plasticity. This study presents detailed instructions and formulations for addressing plasticity problems with the s-version FEM and analyzes a stress concentration problem with linear/nonlinear material properties.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bo Fan, Zhongmin Wang
Summary: A 3D rotating hyperelastic composite REF model was proposed to analyze the influence of tread structure and rotating angular speed on the vibration characteristics of radial tire. Nonlinear dynamic differential equations and modal equations were established to study the effects of internal pressure, tread pressure sharing ratio, belt structure, and rotating angular speed on the vibration characteristics.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
X. W. Chen, Z. Q. Yue, Wendal Victor Yue
Summary: This paper examines the axisymmetric problem of a flat mixed-mode annular crack near and parallel to an arbitrarily graded interface in functionally graded materials (FGMs). The crack is modeled as plane circular dislocation loop and an efficient solution for dislocation in FGMs is used to calculate the stress field at the crack plane. The analytical solutions of the stress intensity factors are obtained and numerical study is conducted to investigate the fracture mechanics of annular crack in FGMs.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xumin Guo, Jianfei Gu, Hui Li, Kaihua Sun, Xin Wang, Bingjie Zhang, Rangwei Zhang, Dongwu Gao, Junzhe Lin, Bo Wang, Zhong Luo, Wei Sun, Hui Ma
Summary: In this study, a novel approach combining the transfer matrix method and lumped parameter method is proposed to analyze the vibration response of aero-engine pipelines under base harmonic and random excitations. The characteristics of the pipelines are investigated through simulation and experiments, validating the effectiveness of the proposed method.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xiangyu Sha, Aizhong Lu, Ning Zhang
Summary: This paper investigates the stress and displacement of a layered soil with a fractional-order viscoelastic model under time-varying loads. The correctness of the solutions is validated using numerical methods and comparison with existing literature. The research findings are of significant importance for exploring soil behavior and its engineering applications under time-varying loads.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Thuy Dong Dang, Thi Kieu My Do, Minh Duc Vu, Ngoc Ly Le, Tho Hung Vu, Hoai Nam Vu
Summary: This paper investigates the nonlinear torsional buckling of corrugated core sandwich toroidal shell segments with functionally graded graphene-reinforced composite (FG-GRC) laminated coatings in temperature change using the Ritz energy method. The results show the significant beneficial effects of FG-GRC laminated coatings and corrugated core on the nonlinear buckling responses of structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Zhihao Zhai, Chengbiao Cai, Qinglai Zhang, Shengyang Zhu
Summary: This paper investigates the effect of localized cracks induced by environmental factors on the dynamic performance and service life of ballastless track in high-speed railways. A mathematical approach for forced vibrations of Mindlin plates with a side crack is derived and implemented into a train-track coupled dynamic system. The accuracy of this approach is verified by comparing with simulation and experimental results, and the dynamic behavior of the side crack under different conditions is analyzed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
James Vidler, Andrei Kotousov, Ching-Tai Ng
Summary: The far-field methodology, developed by J.C. Maxwell, is utilized to estimate the effective third order elastic constants of composite media containing random distribution of spherical particles. The results agree with previous studies and can be applied to homogenization problems in other fields.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Kim Q. Tran, Tien-Dat Hoang, Jaehong Lee, H. Nguyen-Xuan
Summary: This study presents novel frameworks for graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates and investigates their performance through static and free vibration analyses. The results show that the mass density framework has potential for comparing different porous cores and provides a low weight and high stiffness-to-weight ratio. Primitive plates exhibit superior performance among thick plates.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bence Hauck, Andras Szekrenyes
Summary: This study explores several methods for computing the J-integral in laminated composite plate structures with delamination. It introduces two special types of plate finite elements and a numerical algorithm. The study presents compact formulations for calculating the J-integral and applies matrix multiplication to take advantage of plate transition elements. The models and algorithms are applied to case studies and compared with analytical and previously used finite element solutions.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Wu Ce Xing, Jiaxing Wang, Yan Qing Wang
Summary: This paper proposes an effective mathematical model for bolted flange joints to study their vibration characteristics. By modeling the flange and bolted joints, governing equations are derived. Experimental studies confirm that the model can accurately predict the vibration characteristics of multiple-plate structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Pingchao Yu, Li Hou, Ke Jiang, Zihan Jiang, Xuanjun Tao
Summary: This paper investigates the imbalance problem in rotating machinery and finds that mass imbalance can induce lateral-torsional coupling vibration. By developing a model and conducting detailed analysis, it is discovered that mass imbalance leads to nonlinear time-varying characteristics and there is no steady-state torsional vibration in small unbalanced rotors. Under largely unbalanced conditions, both resonant and unstable behavior can be observed, and increasing lateral damping can suppress instability and reduce lateral amplitude in the resonance region.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Yong Cao, Ziwen Guo, Yilin Qu
Summary: This paper investigates the mechanically induced electric potential and charge redistribution in a piezoelectric semiconductor cylindrical shell. The results show that doping levels can affect the electric potentials and mechanical displacements, and alter the peak position of the zeroth-order electric potential. The doping level also has an inhibiting effect on the first natural frequency. These findings are crucial for optimizing the design and performance of cylindrical shell-shaped sensors and energy harvesters.
APPLIED MATHEMATICAL MODELLING
(2024)
