Journal of Applied Mathematics最新文献_第9页

Mathematical Modelling of HIV/AIDS Dynamics with Treatment and Vertical Transmission HIV/AIDS治疗和垂直传播动力学的数学建模

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20120203.06

Abdallah S. Waziri, E. Massawe, O. Makinde

引用次数: 56

Rational Approximation on Closed Curves 闭曲线上的有理逼近

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20120203.07

J. I. Mamedkhanov, I. Dadashova

{"title":"Rational Approximation on Closed Curves","authors":"J. I. Mamedkhanov, I. Dadashova","doi":"10.5923/J.AM.20120203.07","DOIUrl":"https://doi.org/10.5923/J.AM.20120203.07","url":null,"abstract":"In this paper, we study a problem of approximation for the classes of functions determined only on the boundary of domain in weighted integral spaces by means of the rational functions of the form (1) where b is a point lying strictly inside the considered curve. Notice that the approximation estimations, generally speaking, coincide with the esti- mations of polynomial approximation for p E classes (Smirnov's class). Approximation problem for the classes of functions de- termined only on the boundary of domain is of great impor- tance alongside with the study of approximation of functions by means of polynomials analytic in the domain G and with some conditions on the boundary Γ . Obviously, it is im- possible in general to approximate such classes of functions by means of polynomials(12). Therefore, various kinds of rational functions or so called generalized polynomials are mostly used in this case as an approximation tool(12). J. I. Mamedkhanov, D. M. Israfilov and I. M. Botchaev investi- gated the approximation problems of functions determined only on the boundary of domain by means of rational func- tions of the form ( ) ( ) ,1 nn R z P z z = for certain classes of curves in terms of uniform metric(1-4). In this paper, we study the approximation problems of a function from the class ( ) , p L ϑ Γ by means of a rational function of the form ( ) ( ) n k nk kn R z a z b − = = −","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2 1","pages":"90-93"},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71251552","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

Complete Classification of BKM Lie Superalgebras Possessing Strictly Imaginary Property 具有严格虚性质的BKM李超代数的完全分类

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20120204.02

N. Sthanumoorthy, K. Priyadharsini

引用次数: 2

A Numerical Patching Technique for Singularly Perturbed Nonlinear Differential-Difference Equations with a Negative Shift 奇异摄动非线性负移微分-差分方程的数值补片技术

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20120202.04

R. Rao, P. Chakravarthy

引用次数: 3

Soliton Solution for the BBM and MRLW Equations by Cosine-function Method 余弦函数法求解BBM和MRLW方程的孤子

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20110102.09

R. Arora, Anoop Kumar

引用次数: 17

Characterizing Hysteresis Nonlinearity Behavior of SMA Actuators by Krasnosel'skii-Pokrovskii Model 用Krasnosel - pokrovskii模型表征SMA作动器的迟滞非线性行为

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20110101.04

M. Zakerzadeh, H. Sayyaadi, M. Zanjani

{"title":"Characterizing Hysteresis Nonlinearity Behavior of SMA Actuators by Krasnosel'skii-Pokrovskii Model","authors":"M. Zakerzadeh, H. Sayyaadi, M. Zanjani","doi":"10.5923/J.AM.20110101.04","DOIUrl":"https://doi.org/10.5923/J.AM.20110101.04","url":null,"abstract":"Krasnosel'skii-Pokrovskii (KP) model is one of the great operator-based phenomenological models which is used in modeling hysteretic nonlinear behavior in smart actuators. The time continuity and the parametric continuity of this operator are important and valuable factors for physical considerations as well as designing well-posed identification methodologies. In most of the researches conducted about the modeling of smart actuators by KP model, especially SMA actuators, only the ability of the KP model in characterizing the hysteretic behavior of the actuators is demonstrated with respect to some specified experimental data and the accuracy of the developed model with respect to other data is not vali- dated. Therefore, it is not clear whether the developed model is capable of predicting hysteresis minor loops of those ac- tuators or not and how accurate it is in this prediction task. In this paper the accuracy of the KP model in predicting SMA hysteresis minor loops as well as first order ascending curves attached to the major hysteresis loop are experimentally vali- dated, while the parameters of the KP model has been identified only with some first order descending reversal curves at- tached to the major loop. The results show that, in the worst case, the maximum of prediction error is less than 18.2% of the maximum output and this demonstrates the powerful capability of the KP model in characterizing the hysteresis nonlinear- ity of SMA actuators.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"29 1","pages":"28-38"},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250249","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: 26

Complex Stability Analysis of Therapeutic Actions in a Fractional Reaction Diffusion Model of Tumor 肿瘤分级反应扩散模型中治疗作用的复杂稳定性分析

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20110102.12

Oyesanya M. O., Atabong T. A.

引用次数: 2

Inverse Derivative and Solutions of Some Ordinary Differential Equations 若干常微分方程的反导数与解

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20120202.07

K. Zhukovsky

引用次数: 2

On the Slow Viscous Flow through a Swarm of Solid Spherical Particles Covered by Porous Shells 多孔壳覆盖的固体球形颗粒群的缓慢粘性流动

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20110102.19

P. Yadav

{"title":"On the Slow Viscous Flow through a Swarm of Solid Spherical Particles Covered by Porous Shells","authors":"P. Yadav","doi":"10.5923/J.AM.20110102.19","DOIUrl":"https://doi.org/10.5923/J.AM.20110102.19","url":null,"abstract":"This paper concerns the slow viscous flow through a swarm of concentric clusters of porous spherical parti- cles. An aggregate of clusters of porous spherical particles is considered as a hydro-dynamically equivalent to a porous spherical shell enclosing a solid spherical core. The Brinkman equation inside and the Stokes equation outside the porous spherical shell in their stream function formulations are used. As boundary conditions, continuity of velocity, continuity of normal stress and stress-jump condition at the porous and fluid interface, the continuity of velocity components on the solid spherical core are employed. On the hypothetical surface, uniform velocity and Happel boundary conditions are used. The drag force experienced by each porous spherical shell in a cell is evaluated. As a particular case, the drag force experienced by a porous sphere in a cell with jump is also investigated. The earlier results reported for the drag force by Davis and Stone(5) for the drag force experienced by a porous sphere in a cell without jump, Happel(2) for a solid sphere in a cell and Qin and Kaloni(4) for a porous sphere in an unbounded medium have been then deduced. Representative results are pre- sented in graphical form and discussed.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"1 1","pages":"112-121"},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71251077","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: 3

Conjugate Transient Free Convective Heat Transfer from a Vertical Slender Hollow Cylinder with Heat Generation Effect 具有生热效应的垂直细长空心圆柱的共轭瞬态自由对流换热

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20110102.15

H. Rani, G. Reddy

引用次数: 12