Pub Date : 1900-01-01DOI: 10.13189/UJAM.2013.010302
Aiyesimi Y.M, S. Abah, G. T. Okedayo
The effects of mass and radiative heat transfer on free convective flow of a viscous incompressible optically thick fluid towards a vertical surface have been investigated. The nonlinear non-dimensional, similarity-transformed boundary-layer equations governing the problem are solved using an efficient numerical method based on the Runge-Kutta integration scheme and shooting iteration technique. Numerical calculations were carried out for different values of the various non-dimensional quantities governing the flow regime. The analysis shows that the temperature decreases with increasing radiation parameter, N while an increase in the Prandtl number leads to a corresponding decrease in the temperature profile; a rise in the thermal Grasshof and the mass transfer number leads to increase in the velocity profile and a rise in the Schmidt number Sc leads to a decrease in the concentration profile.
{"title":"A Computational Analysis of the Effect of Mass and Radiative Heat Transfer on Free Convective Boundary Layer Flow over a Vertical Plate","authors":"Aiyesimi Y.M, S. Abah, G. T. Okedayo","doi":"10.13189/UJAM.2013.010302","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010302","url":null,"abstract":"The effects of mass and radiative heat transfer on free convective flow of a viscous incompressible optically thick fluid towards a vertical surface have been investigated. The nonlinear non-dimensional, similarity-transformed boundary-layer equations governing the problem are solved using an efficient numerical method based on the Runge-Kutta integration scheme and shooting iteration technique. Numerical calculations were carried out for different values of the various non-dimensional quantities governing the flow regime. The analysis shows that the temperature decreases with increasing radiation parameter, N while an increase in the Prandtl number leads to a corresponding decrease in the temperature profile; a rise in the thermal Grasshof and the mass transfer number leads to increase in the velocity profile and a rise in the Schmidt number Sc leads to a decrease in the concentration profile.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"1 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":"129825109","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 : 1900-01-01DOI: 10.13189/UJAM.2014.020802
J. P. Jaiswal
In this paper we construct a new third-order iterative method for solving nonlinear equations for simple roots by using inverse function theorem. After that a class of optimal fourth-order methods by using one function and two first derivative evaluations per full cycle is given which is obtained by improving the existing third-order method with help of weight function. Some physical examples are given to illustrate the efficiency and performance of our methods.
{"title":"A Class of Iterative Methods for Solving Nonlinear Equations with Optimal Fourth-order Convergence","authors":"J. P. Jaiswal","doi":"10.13189/UJAM.2014.020802","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020802","url":null,"abstract":"In this paper we construct a new third-order iterative method for solving nonlinear equations for simple roots by using inverse function theorem. After that a class of optimal fourth-order methods by using one function and two first derivative evaluations per full cycle is given which is obtained by improving the existing third-order method with help of weight function. Some physical examples are given to illustrate the efficiency and performance of our methods.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"29 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":"123378616","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 : 1900-01-01DOI: 10.13189/ujam.2017.050101
I. Subbotin, M. Voskoglou
The Generalized Rectangular Fuzzy Assessment Model (GRFAM) is applied for the evaluation of student group acquisition of the van Hiele levels of geometric reasoning and an example is presented illustrating our results. The GRFAM is a variation of the Center of Gravity defuzzification technique created in an effort to treat better the ambiguous assessment cases being at the boundaries between any two successive assessment grades.
{"title":"An Application of the Generalized Rectangular Fuzzy Assessment Model to the van Hiele Level Theory of Geometric Reasoning","authors":"I. Subbotin, M. Voskoglou","doi":"10.13189/ujam.2017.050101","DOIUrl":"https://doi.org/10.13189/ujam.2017.050101","url":null,"abstract":"The Generalized Rectangular Fuzzy Assessment Model (GRFAM) is applied for the evaluation of student group acquisition of the van Hiele levels of geometric reasoning and an example is presented illustrating our results. The GRFAM is a variation of the Center of Gravity defuzzification technique created in an effort to treat better the ambiguous assessment cases being at the boundaries between any two successive assessment grades.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"44 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":"115579247","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 : 1900-01-01DOI: 10.13189/UJAM.2013.010102
D. Tsyganov
The paper discusses possible methods of approximation of the chemical reaction rate con- stant for the range of values that lie outside of the experimental temperature range: direct approximation of chemical reaction rate constants obtained by pro- cessing experimental values; approximation based on an analytical model of dependence of the integrated process cross-section on energy; and approximation based on the direct solution of the chemical reaction rate constant equation with arbitrary dependence of the integrated process cross-section on energy. The second-order reactions CH4 + M ! CH3 + H + M, CH3 +M! CH2 +H +M, CH3 +M! CH +H2 +M were explored. To solve the integrated equation, the variational Tikhonov's regularization method was used. It was shown that this method allowed both estimating the threshold energy value and re-establishing the cross- section form. By using the calculated cross-section we can obtain estimated chemical reaction rate constants over a wide temperature range. The data obtained can be used in various calculations in applied elds, in particular, in hypersonic gas dynamics problems, as well as for lling information system databases.
本文讨论了在实验温度范围以外的范围内，化学反应速率常数的可能逼近方法:对实验值进行处理得到的化学反应速率常数直接逼近;基于积分过程截面与能量关系解析模型的近似基于化学反应速率常数方程的直接解的近似，该方程具有积分过程截面对能量的任意依赖。二级反应CH4 + M !Ch3 + h + m, Ch3 + m !Ch2 + h + m, ch3 + m !研究了CH +H2 +M。采用变分Tikhonov正则化方法求解积分方程。结果表明，该方法既能估计阈值，又能重建截面形状。利用计算出的截面，我们可以在很宽的温度范围内估计出化学反应速率常数。所获得的数据可用于应用领域的各种计算，特别是高超声速气体动力学问题，以及填充信息系统数据库。
{"title":"The Approximation of the Chemical Reaction Rate by Solving the Integral Equation","authors":"D. Tsyganov","doi":"10.13189/UJAM.2013.010102","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010102","url":null,"abstract":"The paper discusses possible methods of approximation of the chemical reaction rate con- stant for the range of values that lie outside of the experimental temperature range: direct approximation of chemical reaction rate constants obtained by pro- cessing experimental values; approximation based on an analytical model of dependence of the integrated process cross-section on energy; and approximation based on the direct solution of the chemical reaction rate constant equation with arbitrary dependence of the integrated process cross-section on energy. The second-order reactions CH4 + M ! CH3 + H + M, CH3 +M! CH2 +H +M, CH3 +M! CH +H2 +M were explored. To solve the integrated equation, the variational Tikhonov's regularization method was used. It was shown that this method allowed both estimating the threshold energy value and re-establishing the cross- section form. By using the calculated cross-section we can obtain estimated chemical reaction rate constants over a wide temperature range. The data obtained can be used in various calculations in applied elds, in particular, in hypersonic gas dynamics problems, as well as for lling information system databases.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"113 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":"128623945","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 : 1900-01-01DOI: 10.13189/UJAM.2013.010303
Byung-Soo Lee
A convex cone metric space is a cone metric space with a convex structure. In this paper, we extend an Ishikawa type iterative scheme with errors to approximate a common fixed point of two sequences of uniformly quasi-Lipschitzian mappings to convex cone metric spaces. Our result generalizes Theorem 2 in (1).
{"title":"Approximating Common Fixed Points of Two Sequences of Uniformly Quasi-lipschitzian Mappings in Convex Cone Metric Spaces","authors":"Byung-Soo Lee","doi":"10.13189/UJAM.2013.010303","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010303","url":null,"abstract":"A convex cone metric space is a cone metric space with a convex structure. In this paper, we extend an Ishikawa type iterative scheme with errors to approximate a common fixed point of two sequences of uniformly quasi-Lipschitzian mappings to convex cone metric spaces. Our result generalizes Theorem 2 in (1).","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"123 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":"127052249","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 : 1900-01-01DOI: 10.13189/UJAM.2015.030201
G. Aghekyan, K. Sahakyan
In this paper, we investigate the behavior of critical points of some polynomials whose roots are the vertices of some parallelogram, in case of rotation two of them on a given circle. In this case, the trajectory is the Cassini ovals.
{"title":"Cassini Ovals in Dynamic Geometry of Polynomials","authors":"G. Aghekyan, K. Sahakyan","doi":"10.13189/UJAM.2015.030201","DOIUrl":"https://doi.org/10.13189/UJAM.2015.030201","url":null,"abstract":"In this paper, we investigate the behavior of critical points of some polynomials whose roots are the vertices of some parallelogram, in case of rotation two of them on a given circle. In this case, the trajectory is the Cassini ovals.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"13 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":"126865695","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 : 1900-01-01DOI: 10.13189/UJAM.2013.010201
K. Rao, G. Kishore, P. Babu
In this paper, we have given a unique common fixed point theorem for four mappings in a cone metric type space which is a slight variant of theorems of (1, 10). We also gave an example to illustrate our main theo- rem. Finally we have given an example in which theorem of (10) is not applicable whereas our corollary is applicable.
{"title":"A Unique Common Fixed Point Theorem in Cone Metric Type Spaces","authors":"K. Rao, G. Kishore, P. Babu","doi":"10.13189/UJAM.2013.010201","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010201","url":null,"abstract":"In this paper, we have given a unique common fixed point theorem for four mappings in a cone metric type space which is a slight variant of theorems of (1, 10). We also gave an example to illustrate our main theo- rem. Finally we have given an example in which theorem of (10) is not applicable whereas our corollary is applicable.","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":"124602407","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 : 1900-01-01DOI: 10.13189/UJAM.2013.010401
G. Aghekyan, K. Sahakyan
In the paper we consider the dynamic behavior of the critical points of some cubic polynomials, with the motion of one of the roots of the polynomial along a given trajectory. Some dynamic property of polynomials is investigated. The statements about traces of critical points of some polynomials are proved. The equations of curves, on which critical points move, are obtained.
{"title":"Dynamic Geometry of Cubic Polynomial","authors":"G. Aghekyan, K. Sahakyan","doi":"10.13189/UJAM.2013.010401","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010401","url":null,"abstract":"In the paper we consider the dynamic behavior of the critical points of some cubic polynomials, with the motion of one of the roots of the polynomial along a given trajectory. Some dynamic property of polynomials is investigated. The statements about traces of critical points of some polynomials are proved. The equations of curves, on which critical points move, are obtained.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"388 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":"124163376","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 : 1900-01-01DOI: 10.13189/UJAM.2013.010406
R. Mishra, Simaranjeet Kaur
As we know that the sporting achievement is always interesting fascinating to human. The major of performance to improve the record and broken as with time, keeping the importance of the subject we have decided to study the problem as suggested by D.Edward & M.Hamson (1). In this communication we have collected the data for 200m men/ women race athlete time for all three medalists (Gold, silver & bronze) in Olympics from last 60 years i. e. from 1948 to 2008. All the data have been presented in tabular form. It have been observed that the steady fall in winning times for the men's race indicates that no limiting time for runner at all, which seems unreasonable. We may conclude that the linear model is only valid for a limited range of the years (It may be less than 60 years of the span). Obviously a different model would seem more
{"title":"Mathematical Modeling Approach to Predict Athletic Time, Performance","authors":"R. Mishra, Simaranjeet Kaur","doi":"10.13189/UJAM.2013.010406","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010406","url":null,"abstract":"As we know that the sporting achievement is always interesting fascinating to human. The major of performance to improve the record and broken as with time, keeping the importance of the subject we have decided to study the problem as suggested by D.Edward & M.Hamson (1). In this communication we have collected the data for 200m men/ women race athlete time for all three medalists (Gold, silver & bronze) in Olympics from last 60 years i. e. from 1948 to 2008. All the data have been presented in tabular form. It have been observed that the steady fall in winning times for the men's race indicates that no limiting time for runner at all, which seems unreasonable. We may conclude that the linear model is only valid for a limited range of the years (It may be less than 60 years of the span). Obviously a different model would seem more","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"86 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":"123049409","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 : 1900-01-01DOI: 10.13189/UJAM.2015.030102
B. O. zaltın, I. Dag˘adur
The idea of difference sequence spaces was introduced by Kizmaz [14] and this concept was generalized by Et and Colak [6] . Recently the difference sequence spaces have been studied in (see, [3] , [7] , [17] , [18]). The purpose of this article is to introduce the sequence spaces using a modulus function f and more general C λ − method in viev of Armitage and Maddox [2]. Several properties of these spaces, and some inclusion relations have been examined.
{"title":"Generalized C λ -Rate Sequence Spaces of Difference Sequence Defined by a Modulus Function in a Locally Convex Space","authors":"B. O. zaltın, I. Dag˘adur","doi":"10.13189/UJAM.2015.030102","DOIUrl":"https://doi.org/10.13189/UJAM.2015.030102","url":null,"abstract":"The idea of difference sequence spaces was introduced by Kizmaz [14] and this concept was generalized by Et and Colak [6] . Recently the difference sequence spaces have been studied in (see, [3] , [7] , [17] , [18]). The purpose of this article is to introduce the sequence spaces using a modulus function f and more general C λ − method in viev of Armitage and Maddox [2]. Several properties of these spaces, and some inclusion relations have been examined.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"62 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":"120947686","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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