Pub Date : 2021-12-01DOI: 10.26577/jmmcs.2021.v112.i4.01
S. Kabdrakhova, O. Stanzhytsky
{"title":"Necessary and sufficient conditions for the well-posed solvability of a boundary value problem for a linear loaded hyperbolic equation","authors":"S. Kabdrakhova, O. Stanzhytsky","doi":"10.26577/jmmcs.2021.v112.i4.01","DOIUrl":"https://doi.org/10.26577/jmmcs.2021.v112.i4.01","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116576639","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 : 2021-12-01DOI: 10.26577/jmmcs.2021.v112.i4.14
O. Turar, Semyon Yakovlevich Serovaisky
A discrete nonlinear mathematical model of the epidemic development is proposed. It involves dividing the population into eight compartments (susceptible, exposed, asymptomatic, easily sick, hospitalized, critically ill, recovered and deceased). At the same time, the time spent in compartments of exposed and all forms of patients is considered limited. Thus, any person who has been in contact with an infected person, after a while, either gets sick or does not, leaving the exposed compartment, and any patient, over time, for sure, either goes to the group of more severe patients, dies or recovers. This deterministic model is presented in a discrete form and simulates the quantitative change of various groups by day during the spread of the epidemic. It is a transformation of the SEIR model. The article also presents a numerical analysis of the proposed model. The development of the COVID epidemic in Kazakhstan is considered as an example. At the end, forecasts are given based on preliminary data from the first months of quarantine. Various parameters of the model when starting numerical experiments were found based on computational experiments. At the same time, for a given deterministic one, the effect of wavelike changes in the number of infected is observed.
{"title":"MATHEMATICAL MODEL OF THE EPIDEMIC PROPAGATION WITH LIMITED TIME SPENT IN EXPOSED AND INFECTED COMPARTMENTS","authors":"O. Turar, Semyon Yakovlevich Serovaisky","doi":"10.26577/jmmcs.2021.v112.i4.14","DOIUrl":"https://doi.org/10.26577/jmmcs.2021.v112.i4.14","url":null,"abstract":"A discrete nonlinear mathematical model of the epidemic development is proposed. It involves dividing the population into eight compartments (susceptible, exposed, asymptomatic, easily sick, hospitalized, critically ill, recovered and deceased). At the same time, the time spent in compartments of exposed and all forms of patients is considered limited. Thus, any person who has been in contact with an infected person, after a while, either gets sick or does not, leaving the exposed compartment, and any patient, over time, for sure, either goes to the group of more severe patients, dies or recovers. This deterministic model is presented in a discrete form and simulates the quantitative change of various groups by day during the spread of the epidemic. It is a transformation of the SEIR model. The article also presents a numerical analysis of the proposed model. The development of the COVID epidemic in Kazakhstan is considered as an example. At the end, forecasts are given based on preliminary data from the first months of quarantine. Various parameters of the model when starting numerical experiments were found based on computational experiments. At the same time, for a given deterministic one, the effect of wavelike changes in the number of infected is observed.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115924254","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 : 2021-12-01DOI: 10.26577/jmmcs.2021.v112.i4.15
A. Berdyshev, Zh. A. Abdiramanov, Nazgul S. Akhtaeva, Dana Nazarbaevna Blieva
In hydrodynamics (hydraulics), there are numerous approaches to solving the problem of water flow dynamics control in river beds and channels, while the results of each methods differ, and estimates of their reliability do not always exist. The shallow water equation (or Saint-Venant’s equations in one-dimensional form) is often used by hydraulic engineers in their practice. Its apparent simplicity and ability to describe well enough the behavior of rivers and flows make it a useful tool for many applications, such as the regulation of navigable rivers and irrigation networks in agriculture. The main direction of research in the field of numeric problems described by Saint-Venant equations is the development of numerical methods of computation implemented on super-powerful computers. Development of numerical models of surface water dynamics in the shallow water approximation is actively advancing during the recent years. The article is devoted to a review of mathematical studies of the dynamics of processes in unsteady water flows using differential equations, as well as an assessment of these approaches from the point of view of the model’s reflection of real processes. The work is aimed at analyzing different approaches to modeling the dynamics of processes in non-stationary water flows. The objectives of the study include the analysis of scientific publications with different approaches to modeling the shallow water equation, taking into account factors, parameters, and modeling methods. dynamics of unsteady river currents, numerical methods, a system of hyperbolic differential equations, high-performance computing.
{"title":"A brief overview of modern research of the processes dynamics in unsteady water ows using the shallow water equation","authors":"A. Berdyshev, Zh. A. Abdiramanov, Nazgul S. Akhtaeva, Dana Nazarbaevna Blieva","doi":"10.26577/jmmcs.2021.v112.i4.15","DOIUrl":"https://doi.org/10.26577/jmmcs.2021.v112.i4.15","url":null,"abstract":"In hydrodynamics (hydraulics), there are numerous approaches to solving the problem of water flow dynamics control in river beds and channels, while the results of each methods differ, and estimates of their reliability do not always exist. The shallow water equation (or Saint-Venant’s equations in one-dimensional form) is often used by hydraulic engineers in their practice. Its apparent simplicity and ability to describe well enough the behavior of rivers and flows make it a useful tool for many applications, such as the regulation of navigable rivers and irrigation networks in agriculture. The main direction of research in the field of numeric problems described by Saint-Venant equations is the development of numerical methods of computation implemented on super-powerful computers. Development of numerical models of surface water dynamics in the shallow water approximation is actively advancing during the recent years. The article is devoted to a review of mathematical studies of the dynamics of processes in unsteady water flows using differential equations, as well as an assessment of these approaches from the point of view of the model’s reflection of real processes. The work is aimed at analyzing different approaches to modeling the dynamics of processes in non-stationary water flows. The objectives of the study include the analysis of scientific publications with different approaches to modeling the shallow water equation, taking into account factors, parameters, and modeling methods. dynamics of unsteady river currents, numerical methods, a system of hyperbolic differential equations, high-performance computing.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116645481","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 : 2021-12-01DOI: 10.26577/jmmcs.2021.v112.i4.10
T. Kartbayev, A.A. Turgynbaeva, A. Kerimakym
{"title":"DEVELOPMENT OF A DECISION SUPPORT SYSTEM FOR EVALUATING INVESTMENT PROJECTS TAKING INTO ACCOUNT MULTI-FACTORITY BASED ON THE METHOD OF HIERARCHY ANALYSIS AND GAME THEORY","authors":"T. Kartbayev, A.A. Turgynbaeva, A. Kerimakym","doi":"10.26577/jmmcs.2021.v112.i4.10","DOIUrl":"https://doi.org/10.26577/jmmcs.2021.v112.i4.10","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122648520","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 : 2021-12-01DOI: 10.26577/jmmcs.2021.v112.i4.08
A. Nugumanova, A. S. Tlebaldinova, Y. Baiburin, Ye. V. Ponkina
Concept maps are used for knowledge visualization via representing an input text or domain at the conceptual level. Concept maps reflect the systemic relations between key concepts of a text/ domain and thereby contribute to a deeper understanding of text/domain ideas, save time spent on reading and analysis. However, the process of concept maps construction is laborious and time consuming. Currently, there is a lot of research on the idea of automatic generation concept map from natural language texts. The problem has a high practical value, but in theoretical terms, methods for its solution are mainly language-dependent. Such methods require high-quality annotated linguistic resources, which is a serious problem for low-resource languages like Kazakh. In this work, we analyze the issues related to language-dependent approaches and present our experimental work on automatic generating concept maps from English, Kazakh and Russian texts. We use a well-known language-dependent method called ReVerb which was originally developed for English, and on the example of this method we explore the issues that we have encountered in the case of Kazakh and Russian languages.
{"title":"NATURAL LANGUAGE PROCESSING METHODS FOR CONCEPT MAP MINING: THE CASE FOR ENGLISH, KAZAKH AND RUSSIAN TEXTS","authors":"A. Nugumanova, A. S. Tlebaldinova, Y. Baiburin, Ye. V. Ponkina","doi":"10.26577/jmmcs.2021.v112.i4.08","DOIUrl":"https://doi.org/10.26577/jmmcs.2021.v112.i4.08","url":null,"abstract":"Concept maps are used for knowledge visualization via representing an input text or domain at the conceptual level. Concept maps reflect the systemic relations between key concepts of a text/ domain and thereby contribute to a deeper understanding of text/domain ideas, save time spent on reading and analysis. However, the process of concept maps construction is laborious and time consuming. Currently, there is a lot of research on the idea of automatic generation concept map from natural language texts. The problem has a high practical value, but in theoretical terms, methods for its solution are mainly language-dependent. Such methods require high-quality annotated linguistic resources, which is a serious problem for low-resource languages like Kazakh. In this work, we analyze the issues related to language-dependent approaches and present our experimental work on automatic generating concept maps from English, Kazakh and Russian texts. We use a well-known language-dependent method called ReVerb which was originally developed for English, and on the example of this method we explore the issues that we have encountered in the case of Kazakh and Russian languages.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"283 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116570230","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 : 2021-12-01DOI: 10.26577/jmmcs.2021.v112.i4.12
K. Sakan, N. Kapalova, A. Haumen, O. Suleimenov
{"title":"Requirements for symmetric block encryption algorithms developed for software and hardware implementation","authors":"K. Sakan, N. Kapalova, A. Haumen, O. Suleimenov","doi":"10.26577/jmmcs.2021.v112.i4.12","DOIUrl":"https://doi.org/10.26577/jmmcs.2021.v112.i4.12","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127806311","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 : 2021-09-01DOI: 10.26577/jmmcs.2021.v111.i3.06
N. Gulmanov
{"title":"SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN","authors":"N. Gulmanov","doi":"10.26577/jmmcs.2021.v111.i3.06","DOIUrl":"https://doi.org/10.26577/jmmcs.2021.v111.i3.06","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116323206","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 : 2021-09-01DOI: 10.26577/jmmcs.2021.v111.i3.03
Khanat Kenzhebay
{"title":"AN INVERSE PROBLEM OF RECOVERING THE RIGHT HAND SIDE OF 1D PSEUDOPARABOLIC EQUATION","authors":"Khanat Kenzhebay","doi":"10.26577/jmmcs.2021.v111.i3.03","DOIUrl":"https://doi.org/10.26577/jmmcs.2021.v111.i3.03","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123025003","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 : 2021-09-01DOI: 10.26577/jmmcs.2021.v111.i3.09
B. Satenova
{"title":"SIMULATION OF NUCLEATE BOILING BUBBLE BY THE PHASE-FIELD AND LATTICE BOLTZMANN METHOD","authors":"B. Satenova","doi":"10.26577/jmmcs.2021.v111.i3.09","DOIUrl":"https://doi.org/10.26577/jmmcs.2021.v111.i3.09","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128594325","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 : 2021-09-01DOI: 10.26577/jmmcs.2021.v111.i3.05
I. Orazov
{"title":"ON REPRESENTATION OF ONE CLASS OF SCHMIDT OPERATORS","authors":"I. Orazov","doi":"10.26577/jmmcs.2021.v111.i3.05","DOIUrl":"https://doi.org/10.26577/jmmcs.2021.v111.i3.05","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115469864","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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