Mathematical Models in Engineering最新文献

{"title":"Neural solution of elliptic partial differential equation problem for single phase flow in porous media","authors":"Vilius Dzidolikas, Vytautas Kraujalis, M. Pal","doi":"10.21595/mme.2023.23301","DOIUrl":"https://doi.org/10.21595/mme.2023.23301","url":null,"abstract":"Partial differential equations are used to model fluid flow in porous media. Neural networks can act as equation solution approximators by basing their forecasts on training samples of permeability maps and their corresponding two-point flux approximation solutions. This paper illustrates how convolutional neural networks of various architecture, depth and parameter configurations manage to forecast solutions of the Darcy’s flow equation for various domain sizes.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42443770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dominator Coloring of Total Graph of Path and Cycle","authors":"M. Shukla, Foram Chandarana","doi":"10.21595/mme.2023.23228","DOIUrl":"https://doi.org/10.21595/mme.2023.23228","url":null,"abstract":"<jats:p>A dominator coloring of a graph <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>G</mml:mi></mml:math> is a proper coloring in which every vertex of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>G</mml:mi></mml:math> dominates every vertex of at least one-color class possibly its own class and each color class is dominated by at least one vertex. The minimum number of colors required for dominator coloring of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>G</mml:mi></mml:math> is called the dominator chromatic number of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>G</mml:mi></mml:math> and is denoted by <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mrow><mml:mi>χ</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfenced></mml:math>. In this paper, we have established the relation between dominator chromatic number <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mrow><mml:mi>χ</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfenced></mml:math>, chromatic number <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>χ</mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfenced></mml:math> and domination number <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>γ</mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfenced></mml:math>. We have investigated results on total graphs of path and cycle with <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mrow><mml:mi>χ</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfenced><mml:mi mathvariant=\"normal\"> </mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant=\"normal\"> </mml:mi><mml:mi>χ</mml:mi><mml:mi mathvariant=\"normal\"> </mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfenced><mml:mi mathvariant=\"normal\"> </mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant=\"normal\"> </mml:mi><mml:mi>γ</mml:mi><mml:mi mathvariant=\"normal\"> </mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfenced></mml:math> and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mrow><mml:mi>χ</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfenced><mml:mi mathvariant=\"normal\"> </mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant=\"normal\"> </mml:mi><mml:mi>χ</mml:mi><mml:mi mathvariant=\"normal\"> </mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfenced><mml:mi mathvariant=\"normal\"> </mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant=\"normal\"> </","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43713142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Predicting flow in porous media: a comparison of physics-driven neural network approaches","authors":"Shankar Lal Dangi, V. Karaliūtė, N. K. Maurya, M. Pal","doi":"10.21595/mme.2023.23174","DOIUrl":"https://doi.org/10.21595/mme.2023.23174","url":null,"abstract":"This paper presents the development of physics-informed machine learning models for subsurface flows, specifically for determining pressure variation in the subsurface without the use of numerical modeling schemes. The numerical elliptic operator is replaced with a neural network operator and includes comparisons of several different machine learning models, along with linear regression, support vector regression, lasso, random forest regression, decision tree regression, light weight gradient boosting, eXtreme gradient boosting, convolution neural network, artificial neural network, and perceptron. The mean of absolute error of all models is compared, and error residual plots are used as a measure of error to determine the best-performing method.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46629382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Research and design of program complexity measurement technology based on OINK framework","authors":"L. Qiao, Xuejun Zou, Rui Duan, Xueting Jia","doi":"10.21595/mme.2023.23162","DOIUrl":"https://doi.org/10.21595/mme.2023.23162","url":null,"abstract":"With the expansion of software system scale, the study of software complexity has become a hot topic in software engineering. However, the domestic research on software complexity analysis technology is not mature, especially the measurement and evaluation methods of software complexity are not perfect. In order to solve the problem of prediction and evaluation of program structure complexity in software engineering more effectively, this paper proposed a program complexity measurement technique based on OINK framework. The technology uses the data sharing interface design to analysis target program by extracting the complex relationship between OINK components. On this basis, the technology adopts the layered software architecture to realize the automatic design of the function of the measurement data acquisition module, the complexity measurement module and the data management module of measurement results, thus, the structure complexity of the target program can be analyzed more clearly and accurately. At the same time, this technique applies multiple measurement methods to quantify the complexity of program structure, such as McCabe, HalStead, and Line Count. Experimental results show that this method can effectively measure the complexity of program structure. The solution on software complexity based on the open source ONIK framework will be open up worldwide, and will be continuously supported and improved by global communities and teams under the constraints of common driving forces.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45782415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Rolling and whip phenomenon of hollow rotor slipping on internal stator","authors":"A. Nikiforov","doi":"10.21595/mme.2023.23104","DOIUrl":"https://doi.org/10.21595/mme.2023.23104","url":null,"abstract":"Dynamic features of a rotor that rolls without or with whipping and slipping of own inner surface on a rigid stator are discussed. Change in the whirling direction associated with the rolling of the rotor from backward to forward was confirmed experimentally, i.e. in the case of an internal type for the stator-limiter in the direction of rotor rotation. Identification of dynamic behavior is made on the basis of eigenfrequencies and eigenmodes, motion orbits of an eccentric point (on the rotor), Campbell diagrams and AFC. The calculation of such characteristics has done using an original mathematical approach developed by the author earlier in order to describe the backward motion of common rotor on an external stator. A good agreement is obtained between the theoretical frequencies and amplitudes of vibration and the experimental ones. Therefore, the author’s technique is also suitable for the revealed forward rotor motion around the internal stator.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48535796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mechanical characterization of bottom hole assembly in air drilling engineering","authors":"Yutian Han, Bin Tang, Taike Zhang, Jinlong Liu, Yanming Wang, Li Yang, Kang Yang","doi":"10.21595/mme.2023.23107","DOIUrl":"https://doi.org/10.21595/mme.2023.23107","url":null,"abstract":"To study the mechanism and control of well deviation in air drilling, a mechanical model of bottom hole assembly (BHA) with double stabilizer is established by using the beam-column method. The mathematical model related to side force of BHA and deviating force of strata are derived by analyzing the characteristics of gravel strata in the practical engineering. The effects of weight on bit (WOB), expansion ratio of borehole diameter (ERBD), angle of well inclination, diameter of drill collar and strata bending moment on side force of BHA are explored. Then, the superposition of bit side force and deviating force of strata is obtained. The results display that side force of BHA is obviously influenced by ERBD, angle of well inclination, diameter of drill collar and strata bending moment; and the deviation force and azimuth force of gravel strata are significantly affected by comprehensive cutting anisotropy index, angle of well inclination and dip angle of strata. Finally, the variation tendency of inclination angle and azimuth angle in field measurement is consistent with the theoretical and numerical researches. The present work can provide theoretical guidance to control the well deviation in the practical air drilling.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48751770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"An improved YOLOv5 algorithm for obscured target recognition","authors":"Zhizhan Lu, Ruili Wang, Yunfeng Jin, Chao Liang","doi":"10.21595/mme.2023.23126","DOIUrl":"https://doi.org/10.21595/mme.2023.23126","url":null,"abstract":"Target detection is an important problem in computer vision and has important research value in the fields of pedestrian tracking, license plate recognition, and unmanned vehicles [1].The Viola-Jones algorithm is used to detect frontal face images, which improves the speed of face detection by tens or hundreds of times while obtaining the same or even better accuracy, but for special and HOG captures local shape information better and has good invariance to both geometric and optical changes, SVM solves machine learning in small sample cases, but its feature descriptor acquisition process is complex and has high dimensionality, leading to poor real-time performance, and the support vector machine algorithm is difficult to implement for large-scale training samples, while the deep learning-based YOLOv5 target detection algorithm combines the advantages of Viola-Jones algorithm and HOG+SVM algorithm to make up for the shortcomings of the above two algorithms, which is not only very stable for occlusion and complex case processing, but also can be implemented for large regular training samples, but the accuracy of YOLOv5 for target detection is not ideal, and this paper adds SENet mechanism in YOLOv5, which can make the network better to learn the locations in the images that need attention. Therefore, this paper first introduces the traditional target detection algorithm, then introduces and analyzes the Yolov5 algorithm, and improves and optimizes it, and compares it with the traditional target detection algorithm, and the results show that the improved Yolov5 algorithm has better results for target detection.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45838901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Solitons in a cold electron beam plasma","authors":"Ugnė Orinaitė, J. Ragulskiene","doi":"10.21595/mme.2022.23115","DOIUrl":"https://doi.org/10.21595/mme.2022.23115","url":null,"abstract":"Necessary and sufficient conditions for the existence of dissipative electron-acoustic solitons in a cold electron beam plasma with superthermal trapped electrons described by the Schamel equation are derived in this paper. Soliton solutions to the Schamel equation are constructed using formal analytical techniques which yield counter-intuitive conditions for the existence of these solutions. The existence conditions are derived in terms of system parameters and initial conditions. Computational experiments are used to validate the obtained results.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46479214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Model of a pipe robot with limited interactions","authors":"K. Ragulskis, B. Spruogis, A. Matuliauskas, V. Mištinas, L. Ragulskis","doi":"10.21595/mme.2022.22941","DOIUrl":"https://doi.org/10.21595/mme.2022.22941","url":null,"abstract":"Nonlinear interactions between the exciting mass and the case of a pipe robot are important in order to prevent impacts of the exciting mass with the case of the pipe robot. Those impacts lead to deterioration of operation of a pipe robot and even may lead to destruction of some parts of the robot. Model for the analysis of dynamics of a pipe robot with limited interactions is proposed in this paper. For this purpose, a special expression of nonlinear stiffness is used. Results of investigations for various parameters of the system are presented.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44116585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Research on intelligent detection of pavement damage based on CNN","authors":"Yuanhang Tang, Ke-Xin Li, Kaihang Wang","doi":"10.21595/mme.2022.22918","DOIUrl":"https://doi.org/10.21595/mme.2022.22918","url":null,"abstract":"In order to timely detect road damage under complex constraints, the road damage mechanism was used to reclassify the types of road damage, the VGG-19 model was applied to identify and detect less road damage images intelligently through convolutional neural network and transfer learning and at the same time, the road damage situation was detected using the Softmax classifier and the feasibility and accuracy of the method were verified on the basis of the detection set. The results show that the detection and recognition accuracy of the model proposed in this paper reaches 86.2 %, an increase of 6.2-49.8 percentage points than the detection results of other convolutional neural network models. Therefore, it can be concluded that the transfer learning- and convolutional neural network-based road damage intelligent detection methods proposed in this paper are feasible, and this research is helpful to realize high-precision real-time intelligent detection of road damage.","PeriodicalId":32958,"journal":{"name":"Mathematical Models in Engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44011874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}