Applied Mathematical Modelling最新文献

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A novel buckling model for layered cylindrical nanoshells incorporates interfacial effect 一种考虑界面效应的层状圆柱纳米壳屈曲模型
IF 4.4 2区 工程技术
Applied Mathematical Modelling Pub Date : 2025-08-29 DOI: 10.1016/j.apm.2025.116417
Yifei Gui, Rujun Wu
{"title":"A novel buckling model for layered cylindrical nanoshells incorporates interfacial effect","authors":"Yifei Gui,&nbsp;Rujun Wu","doi":"10.1016/j.apm.2025.116417","DOIUrl":"10.1016/j.apm.2025.116417","url":null,"abstract":"<div><div>This study presents a novel layered cylindrical nanoshell model that incorporates interfacial effects. The interlayer interface response is described by integrating the Refined Zigzag Theory (RZT) and the through-thickness stretching effect based on a quadratic polynomial. Based on the Nonlocal Strain Gradient Theory (NSGT) and the Gurtin-Murdoch surface/interface elasticity theory, the model incorporates both scale effects and interfacial effects. For the layered cylindrical nanoshell under external electric, magnetic, and axial loads, its governing equations are derived using the principle of total potential energy. To assess the effectiveness and performance of the proposed model for layered cylindrical nanoshells, a buckling analysis is conducted, accounting for various layer schemes and design parameters. For example, the buckling behavior of four-layer and five-layer nanoshells is discussed in detail, analyzing the influences of different mode orders, geometric dimensions, scale parameters, interface parameters, and initial electric and magnetic potentials. The findings offer practical guidance for the design and optimization of layered nanostructures, facilitating their application as viable alternatives to traditional homogeneous structures.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116417"},"PeriodicalIF":4.4,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145003766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tensor low-tubal-rank and sparse representations via dual-learnable transforms for multidimensional image recovery 基于双可学习变换的张量低管秩和稀疏表示用于多维图像恢复
IF 4.4 2区 工程技术
Applied Mathematical Modelling Pub Date : 2025-08-29 DOI: 10.1016/j.apm.2025.116406
Jianli Zhao, Jinyu Wang, Tianheng Zhang, Jianfeng Gao, Yujie Wan
{"title":"Tensor low-tubal-rank and sparse representations via dual-learnable transforms for multidimensional image recovery","authors":"Jianli Zhao,&nbsp;Jinyu Wang,&nbsp;Tianheng Zhang,&nbsp;Jianfeng Gao,&nbsp;Yujie Wan","doi":"10.1016/j.apm.2025.116406","DOIUrl":"10.1016/j.apm.2025.116406","url":null,"abstract":"<div><div>Tubal rank minimization-based methods leverage the low-rank property of the frontal slices of the transformed tensor to achieve multidimensional image recovery. However, these methods face two primary challenges: (i) fixed transforms cannot adapt to the varying characteristics of tubes (e.g., periodic or aperiodic) in different multidimensional images, resulting in less compact low-tubal-rank representations; and (ii) low-tubal-rank constraints model the spatial correlation of multidimensional images, but ignore the inherent redundancy of the tubes. To address these limitations, we propose a dual-learnable transform-based model that induces tensor low-tubal-rank and nonconvex sparse representations for multidimensional image recovery. On the one hand, by iteratively learning semi-orthogonal transforms, a transformed tensor nuclear norm is induced to enhance the tensor tubal rank approximation capability. On the other hand, through dictionary learning with a nonconvex penalty function, an overcomplete dictionary for the tubes of multidimensional images and its corresponding sparse representation are jointly learned, which improves the recovery of fine details within the tubes. To solve the proposed model, we develop a multidimensional image recovery algorithm based on the proximal alternating minimization framework. Extensive experiments on various datasets, including synthetic, hyperspectral, multispectral, and video data, demonstrate that the proposed method achieves superior recovery accuracy compared to state-of-the-art methods.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116406"},"PeriodicalIF":4.4,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145019233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Plane Force System Optimizer inspired by concepts in theoretical mechanics 平面力系统优化器的灵感来自理论力学的概念
IF 4.4 2区 工程技术
Applied Mathematical Modelling Pub Date : 2025-08-28 DOI: 10.1016/j.apm.2025.116402
Junjie Tang, Zhiyuan Zhu
{"title":"Plane Force System Optimizer inspired by concepts in theoretical mechanics","authors":"Junjie Tang,&nbsp;Zhiyuan Zhu","doi":"10.1016/j.apm.2025.116402","DOIUrl":"10.1016/j.apm.2025.116402","url":null,"abstract":"<div><div>This paper presents the Plane Force System Optimizer, a novel metaheuristic algorithm inspired by plane force system mechanics in physics. The algorithm simulates force interactions through four operational phases: Couple Force, General Force, Concurrent Force, and Parallel Force systems, where the moment represents the global optimum and force states act as candidate solutions. Comprehensive evaluation using 15 diverse test functions—selected from classical benchmark problems, the 2017 IEEE Congress on Evolutionary Computation test suite, and the 2022 IEEE Congress on Evolutionary Computation test suite—demonstrates the algorithm's competitive performance in handling complex optimization scenarios, as verified through statistical analyses including the Wilcoxon signed-rank test and the Friedman test. Furthermore, an enhanced version of the algorithm is developed by integrating it with Feature Modal Decomposition, resulting in superior performance on brainwave signal decomposition tasks. The algorithm effectively balances exploration and exploitation while avoiding local optima, showing strong potential for both mathematical optimization and real-world engineering applications, particularly in signal processing domains.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116402"},"PeriodicalIF":4.4,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144996766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new mixed beam element based on Hellinger-Reissner principle for nonlocal analysis of rotating functionally graded nanobeams 基于Hellinger-Reissner原理的新型混合梁单元用于旋转功能梯度纳米梁的非局部分析
IF 4.4 2区 工程技术
Applied Mathematical Modelling Pub Date : 2025-08-28 DOI: 10.1016/j.apm.2025.116411
Haonan Li , Linquan Yao , Cheng Li , Rong Lu , Hanlin Wang , C.W. Lim
{"title":"A new mixed beam element based on Hellinger-Reissner principle for nonlocal analysis of rotating functionally graded nanobeams","authors":"Haonan Li ,&nbsp;Linquan Yao ,&nbsp;Cheng Li ,&nbsp;Rong Lu ,&nbsp;Hanlin Wang ,&nbsp;C.W. Lim","doi":"10.1016/j.apm.2025.116411","DOIUrl":"10.1016/j.apm.2025.116411","url":null,"abstract":"<div><div>This study aims to address the limitations of conventional displacement element in analyzing rotating functionally graded (FG) nanobeams by developing a novel mixed beam element. Based on the Hellinger-Reissner variational principle, a one-dimensional (1D) rotating FG nanobeam model is derived from the nonlocal plane stress framework, and a new two-node mixed beam element with 5 independent internal force parameters (MIF5) is proposed accordingly. The MIF5 element employs displacement and internal force as dual independent variables, effectively capturing the nonlocal effect and resolving paradoxes in boundary-value problems caused by differential nonlocal formulations. Numerical results demonstrate that the MIF5 element achieves fourth-order convergence in the <em>L</em><sup>2</sup>-norm and third-order convergence in the <em>H</em><sup>1</sup>-norm — independent of the magnitude of the nonlocal parameter, while outperforming conventional displacement element and 2D mixed beam elements in accuracy. Key findings reveal that the mechanical response of rotating FG nanobeams is significantly influenced by angular velocity, nonlocal parameter, and power-law index, respectively. Notably, the proposed method provides a robust framework for analyzing nanoscale rotating devices, offering insights into stiffness regulation, material optimization and the likes.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116411"},"PeriodicalIF":4.4,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145003765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Impact response of sandwich plates with corrugation cosine-shaped honeycomb hybrid core 波纹余弦蜂窝复合芯夹层板的冲击响应
IF 4.4 2区 工程技术
Applied Mathematical Modelling Pub Date : 2025-08-28 DOI: 10.1016/j.apm.2025.116419
Shicheng Li, Tao Fu
{"title":"Impact response of sandwich plates with corrugation cosine-shaped honeycomb hybrid core","authors":"Shicheng Li,&nbsp;Tao Fu","doi":"10.1016/j.apm.2025.116419","DOIUrl":"10.1016/j.apm.2025.116419","url":null,"abstract":"<div><div>This study introduces a corrugation cosine-shaped honeycomb (CSH) hybrid core sandwich structure, featuring a core composited from trapezoidal corrugation integrated with cosine-shaped honeycomb structure. The physical prototype of this hybrid core was fabricated via metal additive manufacturing technology. Building upon this design, the research systematically investigates the natural frequency and low-speed impact responses of sandwich plates with corrugation CSH hybrid core. An analytical framework grounded in Hertzian contact mechanics and first-order shear deformation theory (FSDT) was established to capture the structural behavior during such impact events. The governing mechanical relations were derived through Hamilton’s variational principle and addressed using Navier-type solutions. A simplified mass–spring representation was employed to simulate time-evolving contact interactions during collision events. Central deflections of the target structure were further obtained via Duhamel's integral formulation. Experimental validation confirmed the analytical predictions through vibration testing and controlled low-speed impact experiments. The effects of critical parameters were examined: sandwich plate thickness ratios, cell unit vertical rod to cosine rod thickness ratios, corrugation components hypotenuse lengths, corrugation components angles. Comparative results demonstrate that under identical impact loads, the corrugated CSH hybrid core sandwich plate reduces lateral displacement by 38.75% in comparison with corrugated re-entrant honeycomb hybrid core counterparts, exhibiting superior impact resistance.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116419"},"PeriodicalIF":4.4,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145003881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Transmission dynamics of Zika virus with mosquito-borne and sexual infection routes and a case study in Mexico 蚊媒和性传播途径的寨卡病毒传播动力学及墨西哥的个案研究
IF 4.4 2区 工程技术
Applied Mathematical Modelling Pub Date : 2025-08-27 DOI: 10.1016/j.apm.2025.116391
Huarong Ren , Rui Xu
{"title":"Transmission dynamics of Zika virus with mosquito-borne and sexual infection routes and a case study in Mexico","authors":"Huarong Ren ,&nbsp;Rui Xu","doi":"10.1016/j.apm.2025.116391","DOIUrl":"10.1016/j.apm.2025.116391","url":null,"abstract":"<div><div>Zika virus (ZIKV) remains significant public health threat. The fact that more cases are reported in females than in males raises concerns about the contribution of sexual transmission to the epidemic. In this paper, a ZIKV transmission model with mosquito-borne and sexual infection routes is developed, distinguishing female and male of human, and aquatic and adult phases of mosquito. By constructing suitable Lyapunov functions and using LaSalle's invariance principle, it is proven that the global dynamics of the model is completely determined by the basic offspring number, mosquito-free reproduction number and basic reproduction number. The model is validated by fitting it to the reported cases for ZIKV in Mexico via Approximate Bayesian Computation Sequential Monte Carlo scheme. Based on fitting results, we clarify the effects of sexual transmission and temperature on ZIKV transmission, and the effectiveness of control measures at different temperatures. The results show that (1) the basic reproduction number is greater than 1 at weeks 15-38, and is the largest and equal to 1.8426 at week 23. (2) the mosquito-free reproduction number is 0.0317. (3) the contribution rates of sexual transmission to all infected females and males are 0.1553 and 0.0071, respectively. (4) when temperature is between 22.72<!--> <sup>∘</sup>C and 34.56<!--> <sup>∘</sup>C, the basic reproduction number is greater than 1, and the contribution rate of sexual transmission to the basic reproduction number is 0.0878. (5) when the temperature is less than 17.05<!--> <sup>∘</sup>C, sexual transmission is the only transmission route. (6) the optimal temperatures for the basic reproduction number and the basic offspring number are estimated to be 29.56<!--> <sup>∘</sup>C and 29.29<!--> <sup>∘</sup>C, respectively.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116391"},"PeriodicalIF":4.4,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144921433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effects of demand substitution on a multi-product and multi-stage ramp-up production system 需求替代对多产品多阶段增产系统的影响
IF 4.4 2区 工程技术
Applied Mathematical Modelling Pub Date : 2025-08-27 DOI: 10.1016/j.apm.2025.116412
Gyusang Cho , Simone Zanoni , Taebok Kim
{"title":"Effects of demand substitution on a multi-product and multi-stage ramp-up production system","authors":"Gyusang Cho ,&nbsp;Simone Zanoni ,&nbsp;Taebok Kim","doi":"10.1016/j.apm.2025.116412","DOIUrl":"10.1016/j.apm.2025.116412","url":null,"abstract":"<div><div>A robust framework should support the simultaneous launch of multiple products within a single production system, optimizing the use of shared resources. These products often differ in key characteristics such as resource consumption rates, production costs, and quality performance. Consequently, the degree of interchangeability among products becomes a critical factor affecting the system's efficiency and profitability. In this context, demand substitution mechanisms play an essential role in addressing imbalances between demand requirements and available supply capacity during the ramp-up phase. To tackle these challenges, we propose a set of mathematical models that extend the existing multi-product ramp-up production planning framework by incorporating various demand substitution modes, including one-way and two-way substitution. Through extensive numerical analyses, we conduct sensitivity studies to evaluate the impact of different substitution strategies on system profitability. Based on the findings, we provide managerial insights and practical implications to support decision-making and improve overall production system performance.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116412"},"PeriodicalIF":4.4,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144916511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multi-innovation recursive identification methods for nonlinear sandwich systems using the auxiliary model 基于辅助模型的非线性夹层系统多创新递归辨识方法
IF 4.4 2区 工程技术
Applied Mathematical Modelling Pub Date : 2025-08-27 DOI: 10.1016/j.apm.2025.116398
Qinyao Liu , Qi Dong , Haolong Jiang , Feiyan Chen , Xuchen Wang
{"title":"Multi-innovation recursive identification methods for nonlinear sandwich systems using the auxiliary model","authors":"Qinyao Liu ,&nbsp;Qi Dong ,&nbsp;Haolong Jiang ,&nbsp;Feiyan Chen ,&nbsp;Xuchen Wang","doi":"10.1016/j.apm.2025.116398","DOIUrl":"10.1016/j.apm.2025.116398","url":null,"abstract":"<div><div>In this paper, an auxiliary model-based multi-innovation least squares algorithm is used to solve the identification problem existing in the nonlinear sandwich system. Nonlinear sandwich systems are widely used in real industrial systems, and effective system identification is beneficial for designing effective controllers to control them. The nonlinear sandwich system consists of two linear modules and one nonlinear module in which there are unmeasurable internal variables. To solve the problem, an auxiliary model is constructed in this paper to replace the unmeasurable variables with their outputs. Then the multi-innovation theory is introduced to improve the accuracy of the algorithm and the convergence of the algorithm is proved. Finally, a numerical example and one physical simulation example are used to prove the effectiveness of the algorithm proposed in this paper.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116398"},"PeriodicalIF":4.4,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144911981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A three-model integrated optimization framework for natural gas pipeline capacity operationally efficient and equitable allocation 天然气管道运力高效合理配置的三模型集成优化框架
IF 4.4 2区 工程技术
Applied Mathematical Modelling Pub Date : 2025-08-27 DOI: 10.1016/j.apm.2025.116416
Jun Zhou , Can Qin , Shitao Liu , Ying He , Lulu Zhang , Jinghong Peng , Guangchuan Liang
{"title":"A three-model integrated optimization framework for natural gas pipeline capacity operationally efficient and equitable allocation","authors":"Jun Zhou ,&nbsp;Can Qin ,&nbsp;Shitao Liu ,&nbsp;Ying He ,&nbsp;Lulu Zhang ,&nbsp;Jinghong Peng ,&nbsp;Guangchuan Liang","doi":"10.1016/j.apm.2025.116416","DOIUrl":"10.1016/j.apm.2025.116416","url":null,"abstract":"<div><div>To address the challenges of efficient and equitable natural gas pipeline capacity allocation in the context of market-oriented reforms, this study introduces the natural gas infrastructure resource allocation optimization framework (NGSRAOF). The NGSRAOF integrates a nomination validation model (NVM), a gas transmission planning model (GTPM), and a shipper comprehensive evaluation model (SCEM). The NVM utilizes convex relaxation and linearization techniques for rapid nomination validation. The GTPM optimizes pipeline network operational scheduling, featuring independent compressor station configurations and bidirectional flow. A two-stage solution method enhances GTPM solution efficiency and quality. The SCEM considers commercial status, government policies, and environmental impacts for equitable capacity allocation under insufficient capacity scenarios. Application across three cases and 120 scenarios demonstrates the framework's ability to verify nominations efficiently and provide optimal transmission schemes with sufficient capacity. In cases of insufficient capacity, it offers optimal allocation by integrating shipper status, policies, and environmental factors.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116416"},"PeriodicalIF":4.4,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144920280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Traffic jam optimizer: A novel swarm-based metaheuristic algorithm for solving global optimization problems 交通阻塞优化器:一种新的基于群的元启发式算法来解决全局优化问题
IF 4.4 2区 工程技术
Applied Mathematical Modelling Pub Date : 2025-08-27 DOI: 10.1016/j.apm.2025.116410
Jinpeng Wang , Ziyang Shang
{"title":"Traffic jam optimizer: A novel swarm-based metaheuristic algorithm for solving global optimization problems","authors":"Jinpeng Wang ,&nbsp;Ziyang Shang","doi":"10.1016/j.apm.2025.116410","DOIUrl":"10.1016/j.apm.2025.116410","url":null,"abstract":"<div><div>A metaheuristic algorithm called traffic jam optimizer is proposed to solve practical engineering problems. Its inspiration comes from the traffic police directing drivers to drive after a traffic jam, and finally making the traffic situation reach a smooth state. The algorithm is divided into three stages: first, traffic jams is caused by drivers' autonomous driving behavior; second, drivers gradually become aware of the traffic situation and adjust driving direction by self-regulation; third, traffic police are involved in directing the traffic and the drivers follow their instructions and enter the enforced phase. The optimization capability of the traffic jam optimizer is verified on some CEC2017 benchmark functions by comparing it with 5 excellent metaheuristic algorithms. The Wilcoxon signed rank sum test and Friedman ranking test verify the superiority of the proposed algorithm from a statistical point of view. Moreover, the strong competitiveness of the algorithm is verified through comparisons with 4 state-of-the-art algorithms for CEC2017. Finally, traffic jam optimizer was used to solve 5 real-world engineering problems, and the results indicate that the proposed method is effective in solving engineering problems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116410"},"PeriodicalIF":4.4,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145003880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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