Pub Date : 2019-09-20DOI: 10.32626/2308-5916.2019-20.121-130
S. Shapovalova, O. Baranichenko
{"title":"Logical Puzzles Solving Based on Machine Learning","authors":"S. Shapovalova, O. Baranichenko","doi":"10.32626/2308-5916.2019-20.121-130","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-20.121-130","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125312792","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}
Pub Date : 2019-09-20DOI: 10.32626/2308-5916.2019-20.114-120
Y. Furtat
{"title":"Properties of Integral Dynamic Models in the Form of Operators and Equations of the Volterra Type","authors":"Y. Furtat","doi":"10.32626/2308-5916.2019-20.114-120","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-20.114-120","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130362449","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}
Pub Date : 2019-09-20DOI: 10.32626/2308-5916.2019-20.68-78
V. Kuzminykh, O. Koval, S. Otrokh
{"title":"Refining the Typical Scenarios by Additional Factors","authors":"V. Kuzminykh, O. Koval, S. Otrokh","doi":"10.32626/2308-5916.2019-20.68-78","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-20.68-78","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133218906","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}
Pub Date : 2019-06-20DOI: 10.32626/2308-5916.2019-19.108-113
M. Ogurtsov
{"title":"Secure Data Exchange Protocol Development for Special Networks","authors":"M. Ogurtsov","doi":"10.32626/2308-5916.2019-19.108-113","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-19.108-113","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121437640","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}
Pub Date : 2019-06-20DOI: 10.32626/2308-5916.2019-19.24-30
A. Verlan, V. Fedorchuk, V. Ivaniuk
differential evolution is not worse than using much more complicated deterministic algorithms of the best uniform approximation. This testifies about the effectiveness of the differential evolution algorithm. It can be used as an alternative for known deterministic algorithms of spline approximation. The article discusses the approach to the construction of integral models of non-stationary problems of heat conduction based on the application of the method of thermal potentials. The possibility of constructing integral models is considered on specific examples using different thermal potentials: a one-dimensional heat conduction problem with different formulation of a boundary value problem (conditions of the first and second kind), the two-dimensional problem of heat exchange, the problem of heat exchange with a moving boundary. It is proposed to use a combination of exact and numerical methods, which allows to take into account the advantages of various approaches. The application of the method of thermal potentials to models in the form of partial differential equations allowed us to obtain a general solution in the form of the Volterra operator, which depends on the functions that are determined from the boundary conditions. That is, the task is reduced to solving the Volterra integral equations of the second kind or their systems. A feature of the models obtained is that the cores of integral models are singular at the end point of integration. It is proposed to solve such equations using computational methods that are based on the quadrature method. To avoid features in the kernel, the offset method is used. Taking into account the properties of the core, it is proposed to apply the method of left rectangles, which will avoid the singularity. To improve the ac-curacy of building a solution, it is proposed to apply the adaptive algorithm for compaction of simulation step in the vicinity of a singular point. The proposed approach to solving non-stationary problems of heat conduction takes into account the advantages of exact (thermal potential method) and computational methods (quadrature method) and allows to increase the efficiency of calcula-tions based on the parallelization of the problem.
{"title":"Integral Models of Non-Stationary Heat Conduction Problems Based on the Method of Thermal Potentials","authors":"A. Verlan, V. Fedorchuk, V. Ivaniuk","doi":"10.32626/2308-5916.2019-19.24-30","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-19.24-30","url":null,"abstract":"differential evolution is not worse than using much more complicated deterministic algorithms of the best uniform approximation. This testifies about the effectiveness of the differential evolution algorithm. It can be used as an alternative for known deterministic algorithms of spline approximation. The article discusses the approach to the construction of integral models of non-stationary problems of heat conduction based on the application of the method of thermal potentials. The possibility of constructing integral models is considered on specific examples using different thermal potentials: a one-dimensional heat conduction problem with different formulation of a boundary value problem (conditions of the first and second kind), the two-dimensional problem of heat exchange, the problem of heat exchange with a moving boundary. It is proposed to use a combination of exact and numerical methods, which allows to take into account the advantages of various approaches. The application of the method of thermal potentials to models in the form of partial differential equations allowed us to obtain a general solution in the form of the Volterra operator, which depends on the functions that are determined from the boundary conditions. That is, the task is reduced to solving the Volterra integral equations of the second kind or their systems. A feature of the models obtained is that the cores of integral models are singular at the end point of integration. It is proposed to solve such equations using computational methods that are based on the quadrature method. To avoid features in the kernel, the offset method is used. Taking into account the properties of the core, it is proposed to apply the method of left rectangles, which will avoid the singularity. To improve the ac-curacy of building a solution, it is proposed to apply the adaptive algorithm for compaction of simulation step in the vicinity of a singular point. The proposed approach to solving non-stationary problems of heat conduction takes into account the advantages of exact (thermal potential method) and computational methods (quadrature method) and allows to increase the efficiency of calcula-tions based on the parallelization of the problem.","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117067148","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}
Pub Date : 2019-06-20DOI: 10.32626/2308-5916.2019-19.5-10
Vsevolod Bohaienko, V. Bulavatsky, A. Gladky
{"title":"Identification of Parameters of One Fractional Model of Soluble Substances Migration","authors":"Vsevolod Bohaienko, V. Bulavatsky, A. Gladky","doi":"10.32626/2308-5916.2019-19.5-10","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-19.5-10","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"422 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133287528","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}
Pub Date : 2019-06-20DOI: 10.32626/2308-5916.2019-19.69-74
I. Kudryashov, H. Malieieva
{"title":"Analysis of Opportunities of the DS Based on the MQ-Transformation","authors":"I. Kudryashov, H. Malieieva","doi":"10.32626/2308-5916.2019-19.69-74","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-19.69-74","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115253611","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}
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