Pub Date : 2021-03-01DOI: 10.26577/JMMCS.2021.V109.I1.01
T. Ergashev, A. Hasanov
Fundamental solutions of the generalized biaxially symmetric elliptic equation are expressed in terms of the well-known Appel hypergeometric function in two variables, the properties of which are necessary for studying boundary value problems for the above equation. In this paper, using some properties of the Appel hypergeometric function, we prove limit theorems and derive integral equations for the doubleand simple-layer potentials and apply the results of the constructed potential theory to the study of the Dirichlet problem for a two-dimensional elliptic equation with two singular coefficients in a domain bounded in the first quarter of the plane.
{"title":"ON POTENTIAL THEORY FOR THE GENERALIZED BI-AXIALLY SYMMETRIC ELLIPTIC EQUATION IN THE PLANE","authors":"T. Ergashev, A. Hasanov","doi":"10.26577/JMMCS.2021.V109.I1.01","DOIUrl":"https://doi.org/10.26577/JMMCS.2021.V109.I1.01","url":null,"abstract":"Fundamental solutions of the generalized biaxially symmetric elliptic equation are expressed in terms of the well-known Appel hypergeometric function in two variables, the properties of which are necessary for studying boundary value problems for the above equation. In this paper, using some properties of the Appel hypergeometric function, we prove limit theorems and derive integral equations for the doubleand simple-layer potentials and apply the results of the constructed potential theory to the study of the Dirichlet problem for a two-dimensional elliptic equation with two singular coefficients in a domain bounded in the first quarter of the plane.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134523146","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 : 2021-03-01DOI: 10.26577/JMMCS.2021.V109.I1.06
Zh.E. Bekzhigitova, A. Issakhov, E. Satkanova
In this paper, we performed a numerical simulation of the spread of pollutants due to a chemical reaction near the roadway inside an urban street canyon. In the course of our study, we studied the dispersion properties of the gas when it collides with the idealized buildings that make up the urban canyon. In conclusion, a qualitative assessment was given that characterizes the nature of the distribution of the concentration of the pollutant and the process of the appearance of zones with increased turbulence, in which vortices are formed that interfere with the ventilation properties of the horizontal flow, which significantly affects the health and life of people. NO and NO 2 released into the canyon area were chosen as the considered reactive substances, and ozone O 2 , which is present in the moving air stream, was chosen as the third reactive substance. The results obtained can be used in the future for use by transport designers and road engineers, whose goal is to reduce the concentration of nitrogen oxides near the pedestrian zone of the city. All the results obtained were first tested on test problems, the results of which are in excellent agreement with the numerical and experimental values of other authors.
{"title":"NUMERICAL SIMULATION OF CONTAMINANTS TRANSPORT IN HUMAN SETTLEMENTS TAKING INTO ACCOUNT CHEMICAL REACTIONS","authors":"Zh.E. Bekzhigitova, A. Issakhov, E. Satkanova","doi":"10.26577/JMMCS.2021.V109.I1.06","DOIUrl":"https://doi.org/10.26577/JMMCS.2021.V109.I1.06","url":null,"abstract":"In this paper, we performed a numerical simulation of the spread of pollutants due to a chemical reaction near the roadway inside an urban street canyon. In the course of our study, we studied the dispersion properties of the gas when it collides with the idealized buildings that make up the urban canyon. In conclusion, a qualitative assessment was given that characterizes the nature of the distribution of the concentration of the pollutant and the process of the appearance of zones with increased turbulence, in which vortices are formed that interfere with the ventilation properties of the horizontal flow, which significantly affects the health and life of people. NO and NO 2 released into the canyon area were chosen as the considered reactive substances, and ozone O 2 , which is present in the moving air stream, was chosen as the third reactive substance. The results obtained can be used in the future for use by transport designers and road engineers, whose goal is to reduce the concentration of nitrogen oxides near the pedestrian zone of the city. All the results obtained were first tested on test problems, the results of which are in excellent agreement with the numerical and experimental values of other authors.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"267 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114076844","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 : 2021-03-01DOI: 10.26577/JMMCS.2021.V109.I1.05
A. Temirbekov, Y. Malgazhdarov, S. Kassenov, B. Urmashev
An important direction of development of numerical modeling methods is the study of approximate methods for solving problems of mathematical physics in complex multidimensional domains. To solve many applied problems in irregular domains, the fictitious domain method is widely used, the idea of which is to solve the problem not in the original, but in a simpler domain. This approach allows to create application software packages for numerical modeling of processes in arbitrary computational domains. In this paper, we develop a computational method for solving the Navier-Stokes equations in the Boussinesq approximation in two-connected domains by the fictitious domain method with continuation by lower coefficients. The problem formulation in the current function, velocity vortex variables is considered. A computational algorithm for solving the auxiliary problem of the fictitious domain method based on the finite difference method is developed. A parallel implementation of the algorithm using the CUDA parallel computation architecture is developed, which was tested on various configurations of the computational mesh. The results of computational experiments for the problem under consideration are presented.
{"title":"PARALLEL CUDA IMPLEMENTATION OF THE ALGORITHM FOR SOLVING THE NAVIER-STOKES EQUATIONS USING THE FICTITIOUS DOMAIN METHOD","authors":"A. Temirbekov, Y. Malgazhdarov, S. Kassenov, B. Urmashev","doi":"10.26577/JMMCS.2021.V109.I1.05","DOIUrl":"https://doi.org/10.26577/JMMCS.2021.V109.I1.05","url":null,"abstract":"An important direction of development of numerical modeling methods is the study of approximate methods for solving problems of mathematical physics in complex multidimensional domains. To solve many applied problems in irregular domains, the fictitious domain method is widely used, the idea of which is to solve the problem not in the original, but in a simpler domain. This approach allows to create application software packages for numerical modeling of processes in arbitrary computational domains. In this paper, we develop a computational method for solving the Navier-Stokes equations in the Boussinesq approximation in two-connected domains by the fictitious domain method with continuation by lower coefficients. The problem formulation in the current function, velocity vortex variables is considered. A computational algorithm for solving the auxiliary problem of the fictitious domain method based on the finite difference method is developed. A parallel implementation of the algorithm using the CUDA parallel computation architecture is developed, which was tested on various configurations of the computational mesh. The results of computational experiments for the problem under consideration are presented.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125214689","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 : 2020-04-06DOI: 10.26577/jmmcs.2020.v105.i1.12
K. Bissembayev, K. Sultanova
Many seismic isolation and vibration protection devices use asan essential element the various types of rolling-contact bearings. The rolling-contact bearing is used for creation of moving base of body protected against vibration. The most dynamic disturbances acting in the constructions and structures have highly complex and irregular nature. This article considers the oscillation of a solid body on kinematic foundations, the main elements of which are rolling bearers bounded by the high order surfaces of rotation at horizontal displacement of the foundation. It is ascertained that the equations of motion are highly nonlinear differential equations. Stationary and transitional modes of the oscillatory process of the system have been investigated. It is determined that several stationary regimes of the oscillatory process exist. Equations of motion have been investigated also by quantitative methods. In this paper the cumulative curves in the phase plane are plotted, a qualitative analysis for singular points and study of them for stability is performed. In the Hayashi plane a cumulative curve of body protected against vibration forms a closed path which does not tend to the stability of singular point. This means that the vibration amplitude of body protected against vibration is not remain constant in steady-state, but changes periodically.
{"title":"Study of forced vibrations transition processes of vibration protection devices with rolling-contact bearings","authors":"K. Bissembayev, K. Sultanova","doi":"10.26577/jmmcs.2020.v105.i1.12","DOIUrl":"https://doi.org/10.26577/jmmcs.2020.v105.i1.12","url":null,"abstract":"Many seismic isolation and vibration protection devices use asan essential element the various types of rolling-contact bearings. The rolling-contact bearing is used for creation of moving base of body protected against vibration. The most dynamic disturbances acting in the constructions and structures have highly complex and irregular nature. This article considers the oscillation of a solid body on kinematic foundations, the main elements of which are rolling bearers bounded by the high order surfaces of rotation at horizontal displacement of the foundation. It is ascertained that the equations of motion are highly nonlinear differential equations. Stationary and transitional modes of the oscillatory process of the system have been investigated. It is determined that several stationary regimes of the oscillatory process exist. Equations of motion have been investigated also by quantitative methods. In this paper the cumulative curves in the phase plane are plotted, a qualitative analysis for singular points and study of them for stability is performed. In the Hayashi plane a cumulative curve of body protected against vibration forms a closed path which does not tend to the stability of singular point. This means that the vibration amplitude of body protected against vibration is not remain constant in steady-state, but changes periodically.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134505751","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 : 2020-04-06DOI: 10.26577/jmmcs.2020.v105.i1.09
E. K. Abdyldayev, Makpal Orazbayevna Nogaibayeva
Analytical solutions of the problem of the stress-strain state of the environment around the workings with non-uniform compression in the elastic-plastic formulation, with account for transboundary deformation are few. Some solutions of the problem under the conditions of Tresk and Coulomb plasticity are obtained. In these solutions, there are simplifying assumptions that the area of inelastic deformations cover the entire contour of the mine, the angle of internal friction is zero, etc. The features of the post-limit deformation of rock masses near underground mines consist on the formation of destruction zones around the mine workings, zones of plastic and elastic deformation, covering the part of contour or the entire contour depending on the boundary conditions and contour profiles, and a given law of the state of the environment. The mathematical description of the process of formation of inelastic deformations areas near the workings and obtaining a solution by the analytical method is rather difficult. Due to the lack of knowledge of this problem to date, it is advisable to use numerical methods of mathematics and mechanics using modern information technology and technology. The article presents mathematical models and results of solving a geomechanical problem based on information technology and the finite element method. The developed procedures and programs allow solving with the help of modern computers a wide class of mining tasks in which it is required to determine the stress-strain state of the rock mass weakened by mine workings in different mining and geological conditions. tasks, field structures, mathematical models, array heterogeneity, rock properties, rock samples.
{"title":"Mathematical modeling of the problem of compression of a rock sample with friction at the end","authors":"E. K. Abdyldayev, Makpal Orazbayevna Nogaibayeva","doi":"10.26577/jmmcs.2020.v105.i1.09","DOIUrl":"https://doi.org/10.26577/jmmcs.2020.v105.i1.09","url":null,"abstract":"Analytical solutions of the problem of the stress-strain state of the environment around the workings with non-uniform compression in the elastic-plastic formulation, with account for transboundary deformation are few. Some solutions of the problem under the conditions of Tresk and Coulomb plasticity are obtained. In these solutions, there are simplifying assumptions that the area of inelastic deformations cover the entire contour of the mine, the angle of internal friction is zero, etc. The features of the post-limit deformation of rock masses near underground mines consist on the formation of destruction zones around the mine workings, zones of plastic and elastic deformation, covering the part of contour or the entire contour depending on the boundary conditions and contour profiles, and a given law of the state of the environment. The mathematical description of the process of formation of inelastic deformations areas near the workings and obtaining a solution by the analytical method is rather difficult. Due to the lack of knowledge of this problem to date, it is advisable to use numerical methods of mathematics and mechanics using modern information technology and technology. The article presents mathematical models and results of solving a geomechanical problem based on information technology and the finite element method. The developed procedures and programs allow solving with the help of modern computers a wide class of mining tasks in which it is required to determine the stress-strain state of the rock mass weakened by mine workings in different mining and geological conditions. tasks, field structures, mathematical models, array heterogeneity, rock properties, rock samples.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114664547","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 : 2020-04-05DOI: 10.26577/jmmcs.2020.v105.i1.06
S. Aisagaliev, G. T. Korpebai
{"title":"Integral equation in the theory of optimal speed of linear systems with constraints","authors":"S. Aisagaliev, G. T. Korpebai","doi":"10.26577/jmmcs.2020.v105.i1.06","DOIUrl":"https://doi.org/10.26577/jmmcs.2020.v105.i1.06","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130364801","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 : 2020-04-05DOI: 10.26577/jmmcs.2020.v105.i1.02
U. Kusherbayeva, G. Abduakhitova, A. Assadi
This paper consists of two parts. The first part is devoted to the study of the Beltrami model equation with a polar singularity in a circle centered at the origin, with a cut along the positive semiaxis. The coefficients of the equation have a first-order pole at the origin and do not even belong to the class L 2 ( G ) . For this reason, despite its specific form, this equation is not covered by the analytical apparatus of I.N. Vekua [1] and needs to be independently studied. Using the technique developed by A.B. Tungatarov [2] in combination with the methods of the theory of functions of a complex variable [3] and functional analysis [4], manifolds of continuous solutions of the Beltrami model equation with a polar singularity are obtained. The theory of these equations has numerous applications in mechanics and physics. In the second part of the article, the coefficients of the equation are chosen so that the resulting solutions are continuous in a circle without a cut [5]. These results can be used in the theory of infinitesimal bendings of surfaces of positive curvature with a flat point and in constructing a conjugate isometric coordinate system on a surface of positive curvature with a planar point [6]. equation, equation with a polar singularity.
{"title":"On continuous solutions of the model homogeneous Beltrami equation with a polar singularity","authors":"U. Kusherbayeva, G. Abduakhitova, A. Assadi","doi":"10.26577/jmmcs.2020.v105.i1.02","DOIUrl":"https://doi.org/10.26577/jmmcs.2020.v105.i1.02","url":null,"abstract":"This paper consists of two parts. The first part is devoted to the study of the Beltrami model equation with a polar singularity in a circle centered at the origin, with a cut along the positive semiaxis. The coefficients of the equation have a first-order pole at the origin and do not even belong to the class L 2 ( G ) . For this reason, despite its specific form, this equation is not covered by the analytical apparatus of I.N. Vekua [1] and needs to be independently studied. Using the technique developed by A.B. Tungatarov [2] in combination with the methods of the theory of functions of a complex variable [3] and functional analysis [4], manifolds of continuous solutions of the Beltrami model equation with a polar singularity are obtained. The theory of these equations has numerous applications in mechanics and physics. In the second part of the article, the coefficients of the equation are chosen so that the resulting solutions are continuous in a circle without a cut [5]. These results can be used in the theory of infinitesimal bendings of surfaces of positive curvature with a flat point and in constructing a conjugate isometric coordinate system on a surface of positive curvature with a planar point [6]. equation, equation with a polar singularity.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114806675","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 : 2019-12-23DOI: 10.26577/jmmcs-2019-4-m9
N. Uteliyeva, E. Ismail, D. Akhmetov
Әрбiр нақты БЖСМ, әдетте, өзiндiк сипаттамалары мен сапалық атрибуттарымен сипатта-лады, өзiнiң артықшылықтары мен кемшiлiктерi бар. Осы сипаттамаларға сүйене отырып,модельдер қолданудың әртүрлi салаларына бағытталуы мүмкiн.Белгiлi бiр БЖ жобаларына сәйкес келетiн бiр немесе басқа БЖСМ, БЖ сипаттамаларымен сапалық атрибуттарын қолданудың орындылығын түсiну үшiн қолданыстағы БЖСМерекшелiктерiне жан-жақты талдау жүргiзу қажет.Бұл жұмыстың мақсаты - заманауи БЖСМ-ның сипаттамалары мен ерекшелiктерiне олар-дың мүмкiндiктерi мен қолданылуын, қолданылатын мәселенiң ерекшелiктерi мен талапта-рына бейiмделу қабiлеттерiн бағалау үшiн жан-жақты салыстырмалы талдау жүргiзу. БЖ-СМ талдауы келесi аспектiлерде жүзеге асырылды: құрылымы, деңгейлерi мен сипаттама-лары (сипаттамалары бойынша) және олардың семантикалық мазмұны, сонымен қатар мүм-кiндiктердi анықтау және қолдану мүмкiндiгi.Негiзгi сипаттамаларды және негiзгi БЖСМ сипаттамаларын салыстырмалы талдау нәтиже-сiнде бағдарламалық қамтамасыздандырудың сапалық сипаттамаларына ең көп қолданыла-тын (негiзгi) сипаттамалар анықталды. Бағдарламалық жасақтаманың белгiлi бiр түрлерiнеқолдану үшiн бұл негiзгi жиынтықты нақты сипаттамаларды және сипаттамаларды таңдауарқылы қолданбалы бағдарламаның тиiстi жағдайларына бейiмдеуге болады, сонымен қатарбасқа модельдерден қажеттi сапалық атрибуттарды қосуға болады.
{"title":"Comparative analysis of models of quality of software tools","authors":"N. Uteliyeva, E. Ismail, D. Akhmetov","doi":"10.26577/jmmcs-2019-4-m9","DOIUrl":"https://doi.org/10.26577/jmmcs-2019-4-m9","url":null,"abstract":"Әрбiр нақты БЖСМ, әдетте, өзiндiк сипаттамалары мен сапалық атрибуттарымен сипатта-лады, өзiнiң артықшылықтары мен кемшiлiктерi бар. Осы сипаттамаларға сүйене отырып,модельдер қолданудың әртүрлi салаларына бағытталуы мүмкiн.Белгiлi бiр БЖ жобаларына сәйкес келетiн бiр немесе басқа БЖСМ, БЖ сипаттамаларымен сапалық атрибуттарын қолданудың орындылығын түсiну үшiн қолданыстағы БЖСМерекшелiктерiне жан-жақты талдау жүргiзу қажет.Бұл жұмыстың мақсаты - заманауи БЖСМ-ның сипаттамалары мен ерекшелiктерiне олар-дың мүмкiндiктерi мен қолданылуын, қолданылатын мәселенiң ерекшелiктерi мен талапта-рына бейiмделу қабiлеттерiн бағалау үшiн жан-жақты салыстырмалы талдау жүргiзу. БЖ-СМ талдауы келесi аспектiлерде жүзеге асырылды: құрылымы, деңгейлерi мен сипаттама-лары (сипаттамалары бойынша) және олардың семантикалық мазмұны, сонымен қатар мүм-кiндiктердi анықтау және қолдану мүмкiндiгi.Негiзгi сипаттамаларды және негiзгi БЖСМ сипаттамаларын салыстырмалы талдау нәтиже-сiнде бағдарламалық қамтамасыздандырудың сапалық сипаттамаларына ең көп қолданыла-тын (негiзгi) сипаттамалар анықталды. Бағдарламалық жасақтаманың белгiлi бiр түрлерiнеқолдану үшiн бұл негiзгi жиынтықты нақты сипаттамаларды және сипаттамаларды таңдауарқылы қолданбалы бағдарламаның тиiстi жағдайларына бейiмдеуге болады, сонымен қатарбасқа модельдерден қажеттi сапалық атрибуттарды қосуға болады.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"88 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121153139","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 : 2019-12-23DOI: 10.26577/jmmcs-2019-4-m7
Z. Nurpeyis, Z. T. Talasbayeva, A. D. Mazhitova
{"title":"To geometry of integrable distributions in En","authors":"Z. Nurpeyis, Z. T. Talasbayeva, A. D. Mazhitova","doi":"10.26577/jmmcs-2019-4-m7","DOIUrl":"https://doi.org/10.26577/jmmcs-2019-4-m7","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"483 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127007462","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 : 2019-12-23DOI: 10.26577/jmmcs-2019-4-m8
M. Ramazanov, A. Seitmuratov, L. Taimuratova, N. K. Medeubaev, G. I. Mukeeva
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