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Piecewise Constant Controlled Linear Fuzzy Differential Inclusions 分段常控线性模糊微分内含
Universal Journal of Applied Mathematics Pub Date : 1900-01-01 DOI: 10.13189/UJAM.2013.010202
A. Plotnikov, T. A. Komleva
{"title":"Piecewise Constant Controlled Linear Fuzzy Differential Inclusions","authors":"A. Plotnikov, T. A. Komleva","doi":"10.13189/UJAM.2013.010202","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010202","url":null,"abstract":"In this article we consider the some prop- erties of the fuzzy R-solution of the controlled linear fuzzy differential inclusions. Also, many engineering systems use piecewise constant controls. However the majority of results of the theory of optimum control are received for measurable controls. In the given paper we introduce the algorithm of replacement of measurable control on piecewise constant control so that the corresponding fuzzy R-solutions of linear fuzzy systems would be close (with necessary accuracy)","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132897496","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}
引用次数: 5
Self-similar Cylindrical Ionizing Shock Waves in a Rotational Axisymmetric Non-ideal Gas with Radiation Heat Flux 具有辐射热通量的旋转轴对称非理想气体中的自相似圆柱形电离激波
Universal Journal of Applied Mathematics Pub Date : 1900-01-01 DOI: 10.13189/UJAM.2013.010203
K. K. Singh, B. Nath
{"title":"Self-similar Cylindrical Ionizing Shock Waves in a Rotational Axisymmetric Non-ideal Gas with Radiation Heat Flux","authors":"K. K. Singh, B. Nath","doi":"10.13189/UJAM.2013.010203","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010203","url":null,"abstract":"Similarity solutions are obtained for one-dimensional adiabatic flow behind a gas-ionizing cylindrical shock wave propagating in a rotational axisymetric non-ideal gas with radiation heat flux, in presence of an azimuthal magnetic field. The electrical conductivity in the medium ahead of the shock is assumed to be negligible, which becomes infinitely large after passage of the shock . The ambient medium is considered to have variable axial velocity component in addition to the variable azimuthal velocity. In order to obtain the similarity solutions, the initial density of the medium is assumed to be constant and the initial angular velocity to be obeying a power law and to be decreasing as the distance from the axis increases . Effects of an increase in the value of the parameter of non-idealness of the gas, in the value of radiation parameter and in the value of the index for variation of azimuthal velocity of the ambient medium ( or in the value of the index for variation of the ambient magnetic field ) on the shock propagation are investigated. It is observed that the non-idealness of the gas or radiation heat-flux has decaying effect on the shock wave.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128818675","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}
引用次数: 0
True Navier–Stokes Vector PDE
Universal Journal of Applied Mathematics Pub Date : 1900-01-01 DOI: 10.13189/UJAM.2015.030203
A. Kozachok
{"title":"True Navier–Stokes Vector PDE","authors":"A. Kozachok","doi":"10.13189/UJAM.2015.030203","DOIUrl":"https://doi.org/10.13189/UJAM.2015.030203","url":null,"abstract":"The additional equalities (additional differential equations) for the Navier - Stokes and other vector PDE are established in this paper. These equations are obligatory requirements (properties) of three functions forming a vector field on Euclidean space. Therefore all solutions of the vector PDE should satisfy these requirements. Without these equalities the Navier-Stokes equations with so called a continuity equation are underdetermined as vector system and any \"exact solution\" is not solution of the true Navier - Stokes vector equation.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127426688","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}
引用次数: 1
Numerical Solutions of MHD Viscous Flow of Newtonian Fluids due to a Shrinking Sheet by SOR Iterative Procedure 基于SOR迭代法的牛顿流体收缩片的MHD粘性流动数值解
Universal Journal of Applied Mathematics Pub Date : 1900-01-01 DOI: 10.13189/UJAM.2015.030101
M. Shafique, M. A. Kamal, S. Hussain
{"title":"Numerical Solutions of MHD Viscous Flow of Newtonian Fluids due to a Shrinking Sheet by SOR Iterative Procedure","authors":"M. Shafique, M. A. Kamal, S. Hussain","doi":"10.13189/UJAM.2015.030101","DOIUrl":"https://doi.org/10.13189/UJAM.2015.030101","url":null,"abstract":"The problem of Magneto Hydrodynamic viscous flow due to a shrinking sheet of Newtonian fluids has been solved numerically by using SOR Iterative Procedure. The similarity transformations have been used to reduce the highly nonlinear partial differential equations of motion to ordinary differential equations. The results have been calculated on three different grid sizes to check the accuracy of the results. The numerical results for Newtonian fluids are found in good agreement with those obtained by the previous results.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115721258","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}
引用次数: 2
A Mathematical Study of Contaminant Transport with First-order Decay and Time-dependent Source Concentration in an Aquifer 含水层中含一阶衰减和源浓度随时间变化的污染物运移的数学研究
Universal Journal of Applied Mathematics Pub Date : 1900-01-01 DOI: 10.13189/UJAM.2013.010212
R. O. Olayiwola, R. Jimoh, A. Yusuf, S. Abubakar
{"title":"A Mathematical Study of Contaminant Transport with First-order Decay and Time-dependent Source Concentration in an Aquifer","authors":"R. O. Olayiwola, R. Jimoh, A. Yusuf, S. Abubakar","doi":"10.13189/UJAM.2013.010212","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010212","url":null,"abstract":"A mathematical model describing the transport of a conservative contaminant through a homogeneous finite aquifer under transient flow is presented. We assume the aquifer is subjected to contamination due to the time-dependent source concentration. Both the sinusoidally varying and exponentially decreasing forms of seepage velocity are considered for the purposes of studying seasonal variation problems. We use the parameter-expanding method and seek direct eigenfunctions expansion technique to obtain analytical solution of the model. The results are presented graphically and discussed. It is discovered that the contaminant concentration decreases along temporal and spatial directions as initial dispersion coefficient increases and initial groundwater velocity decreases. This concentration decreases as time increases and differs at each point in the domain.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116454423","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}
引用次数: 0
Height-unmixed of Tensor Product of Lattices 格张量积的高度非混合
Universal Journal of Applied Mathematics Pub Date : 1900-01-01 DOI: 10.13189/ujam.2016.040402
A. Molkhasi
{"title":"Height-unmixed of Tensor Product of Lattices","authors":"A. Molkhasi","doi":"10.13189/ujam.2016.040402","DOIUrl":"https://doi.org/10.13189/ujam.2016.040402","url":null,"abstract":"We investigate WB-height-unmixed of tensor product of distributive lattices: Cohen-Macaulay rings related to tensor products of distributive lattices are constructed using the method of Stanly and Reisner.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127414926","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}
引用次数: 0
On Some Generalization of the Rayleigh Problem on a Convective Instability 关于对流不稳定性的Rayleigh问题的一些推广
Universal Journal of Applied Mathematics Pub Date : 1900-01-01 DOI: 10.13189/UJAM.2014.020104
L. Ingel
{"title":"On Some Generalization of the Rayleigh Problem on a Convective Instability","authors":"L. Ingel","doi":"10.13189/UJAM.2014.020104","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020104","url":null,"abstract":"Previous investigations using the numerical modeling of moist convection in the atmosphere found an interesting effect: clouds arising through the water vapor condensation shield partially the underlying surface and change its radiation balance. The vertical heat fluxes on the surface become horizontally inhomogeneous, that can exert a back profound effect on the convection and dynamics of clouds, in particular, resulting in their horizontal transference (a cloud \"runs away from its own shadow\"). This paper is dedicated to the corresponding generalization of the classical Rayleigh problem on the convective instability of horizontal layer of a fluid. This generalization has as its object to describe the effect mentioned above – the influence of partial surface shielding on convection. The results show that the given relatively small modification of the Rayleigh problem, taking into account the possibility of the horizontally shifted thermal response to the vertical motions, leads to qualitatively new results. There appears a new, easily realizable type of instability, for which the strengthening of disturbances moving horizontally is typical.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"460 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127530905","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}
引用次数: 1
Multivariate Logistic Mixtures 多元Logistic混合
Universal Journal of Applied Mathematics Pub Date : 1900-01-01 DOI: 10.13189/UJAM.2015.030402
Xiao Liu
{"title":"Multivariate Logistic Mixtures","authors":"Xiao Liu","doi":"10.13189/UJAM.2015.030402","DOIUrl":"https://doi.org/10.13189/UJAM.2015.030402","url":null,"abstract":"Logistic mixtures, unlike normal mixtures, have not been studied for their topography. In this paper we discuss analogs of some of the multivariate normal mixture results for the multivariate logistic distribution. We focus on graphical techniques that are based on displaying the elevation of the density on the ridgeline. These techniques are quite elementary, and carry full information about the location and relative heights of the modes and saddle points. Moreover, we turn to a technique that names II-Plot which denotes that the first differentiation of the second component density ratios the difference between the first differentiations of the second component density and the first component density.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129971344","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}
引用次数: 2
A Hydromagnetic Boundary Layer Micropolar Fluid over a Stretching Surface in a Non- Darcian Medium with Permeability 带磁导率的非达西介质中拉伸表面上的磁边界层微极流体
Universal Journal of Applied Mathematics Pub Date : 1900-01-01 DOI: 10.13189/UJAM.2013.010216
Y. M. Aiyesimi, A. Yusuf, Jiya Mohammed
{"title":"A Hydromagnetic Boundary Layer Micropolar Fluid over a Stretching Surface in a Non- Darcian Medium with Permeability","authors":"Y. M. Aiyesimi, A. Yusuf, Jiya Mohammed","doi":"10.13189/UJAM.2013.010216","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010216","url":null,"abstract":"Hydromagnetic boundary layer micropolar fluid flow over a stretching surface embedded in a non-Dacian medium with variable permeability was considered in this work. The governing partial differential equations were transformed into their equivalent cylindrical coordinate system from its original form (rectangular form). A set of similarity parameters are employed to convert the governing partial differential equations to ordinary differential equations. The obtained self-similar equations are solved using the Adomian Decomposition Method. The effect of various physical parameters on the velocity profile, microrotation and temperature distribution were investigated. The obtained results shows that as the magnetic parameter and the inverse Darcy number increase the velocity profile and the microrotation reduce while the temperature profile increases.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121616484","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}
引用次数: 2
Fuzzy Assessment Methods 模糊评价方法
Universal Journal of Applied Mathematics Pub Date : 1900-01-01 DOI: 10.13189/UJAM.2014.020902
I. Subbotin, M. Voskoglou
{"title":"Fuzzy Assessment Methods","authors":"I. Subbotin, M. Voskoglou","doi":"10.13189/UJAM.2014.020902","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020902","url":null,"abstract":"Fuzzy logic due to its nature of characterizing each case with multiple values offers is a rich field of resources covering the assessment of situations characterized by a degree of fuzziness and/or uncertainty. In this paper, we present two different fuzzy assessment models: The Centre of Gravity (COG) model and Trapezoidal Fuzzy Assessment Model (TRFAM). The last one is a new model covering the ambiguous cases being at the boundaries between two successive assessment intervals. An application (students' assessment) is also presented, through which the above methods are compared to each other and also with two traditional assessment methods based on principles of bivalent logic (the calculation of means and of the GPA index). Some useful conclusions are drawn about the characteristics of the above fuzzy assessment models.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126364680","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}
引用次数: 8
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