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International Journal of Applied Mathematics and Computation最新文献

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Radiation and stratification effect on transient free convective flow of an elastico-viscous fluid past an infinite vertical plate 辐射和分层效应对弹性粘性流体通过无限垂直板的瞬态自由对流的影响
International Journal of Applied Mathematics and Computation Pub Date : 2014-02-09 DOI: 10.0000/IJAMC.2013.5.2.377
A. Bhattacharya, R. Deka
{"title":"Radiation and stratification effect on transient free convective flow of an elastico-viscous fluid past an infinite vertical plate","authors":"A. Bhattacharya, R. Deka","doi":"10.0000/IJAMC.2013.5.2.377","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.2.377","url":null,"abstract":"The effect of radiation and thermal stratification on the flow of an elastico-viscous fluid past an infinite vertical plate is presented. The constitutive equations of Walter’s liquid B / are used. Solutions for velocity and temperature fields are obtained by  Laplace transform technique for unit Prandtl number. Numerical computations for velocity, temperatures are made for different values of the physical parameters and presented in graphs. It is observed that in presence of thermal stratification and radiation both velocity and temperature reaches steady state at smaller time. Observations are also made on other physical phenomenon like skin friction, Nusselt number.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132959116","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
Converging shock wave in Darcy-type porous medium through nonstandard analysis 通过非标准分析达西型多孔介质中的会聚激波
International Journal of Applied Mathematics and Computation Pub Date : 2013-12-01 DOI: 10.0000/IJAMC.2013.5.2.347
M. Singh, Akmal Husaina
{"title":"Converging shock wave in Darcy-type porous medium through nonstandard analysis","authors":"M. Singh, Akmal Husaina","doi":"10.0000/IJAMC.2013.5.2.347","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.2.347","url":null,"abstract":"A problem of propagation of strong plane and converging shock wave is studied in unsteady, Darcy-type porous media. Nonstandard analysis is used to derive the jump conditions for both plane and converging shock waves. It is also assumed that the shock thickness occurs at innitesimal interval and jump functions in low parameters are smooth across this interval. The distribution of low parameters across the shock wave are expressed in terms of Heaviside functions and Dirac Delta measures. Numerical computations have been performed to study the eect of porosity of the medium on the distribution of the ow parameters.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"82 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127423328","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
Existence of solution to a nonlinear p-biharmonic equation 一类非线性p-双调和方程解的存在性
International Journal of Applied Mathematics and Computation Pub Date : 2013-08-02 DOI: 10.0000/ijamc.2013.5.1.515
Wen-Wu Pan, Lin Li
{"title":"Existence of solution to a nonlinear p-biharmonic equation","authors":"Wen-Wu Pan, Lin Li","doi":"10.0000/ijamc.2013.5.1.515","DOIUrl":"https://doi.org/10.0000/ijamc.2013.5.1.515","url":null,"abstract":"In this note we use the Nehari manifold and fibering maps to show existence of a solution for a nonlinear emph{p}-biharmonic equation in a bounded smooth domain in $mathbb R^N$, when $2p","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127710686","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
A Computational technique for solving Singularly Perturbed Boundary Value Problems 求解奇异摄动边值问题的一种计算技术
International Journal of Applied Mathematics and Computation Pub Date : 2013-08-01 DOI: 10.0000/IJAMC.2013.5.1.410
Ravi Kanth Asv
{"title":"A Computational technique for solving Singularly Perturbed Boundary Value Problems","authors":"Ravi Kanth Asv","doi":"10.0000/IJAMC.2013.5.1.410","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.1.410","url":null,"abstract":"This paper presents a computational technique for solving singularly perturbed boundary value problems with the boundary layer at one end. This technique is a non-iterative on small deviating argument which converts the original second order boundary value problem to the first order differential equation with the deviating argument. We use the trapezoidal method on the first order differential equation; tridiagonal scheme is obtained and is solved efficiently. Numerical examples show the validity of the present method.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"214 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115830206","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
On the stability of immune-tumor model with one term delay in tumor (I-TD) 肿瘤1期延迟免疫肿瘤模型的稳定性研究
International Journal of Applied Mathematics and Computation Pub Date : 2013-08-01 DOI: 10.0000/IJAMC.2013.5.1.586
A. Devi, Aditya Ghosh
{"title":"On the stability of immune-tumor model with one term delay in tumor (I-TD)","authors":"A. Devi, Aditya Ghosh","doi":"10.0000/IJAMC.2013.5.1.586","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.1.586","url":null,"abstract":"A mathematical model is presented that describes the growth of the tumor cells with delayand intrinsic behavior of it in the presence of immune cells.The immune-tumor model is modi¯ed withinclusion of one term delay factor. The introduction of delay term in the growth equation of the tumorcell has been analyzed and found that the stability of I-T-D model is depending on both the termnormal tumor cell and tumor cell in delay term. The stability of both immune and tumor cell withdelay has been analyzed under equilibrium condition and found the condition for stabilities of both immune and tumor cell under delay.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125374035","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
Reflection and transmission of plane waves at an imperfect interface between two dissimilar monoclinic elastic half-spaces 平面波在两个不同单斜弹性半空间非完美界面上的反射和透射
International Journal of Applied Mathematics and Computation Pub Date : 2013-08-01 DOI: 10.0000/IJAMC.2013.5.1.522
Baljeet Singh
{"title":"Reflection and transmission of plane waves at an imperfect interface between two dissimilar monoclinic elastic half-spaces","authors":"Baljeet Singh","doi":"10.0000/IJAMC.2013.5.1.522","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.1.522","url":null,"abstract":"In this paper, a problem on reflection and transmission of plane waves atan imperfect interface between two dissimilar monoclinic elastic half-spaces isstudied. The boundary conditions at imperfect interface are satisfied by appropriateparticular solutions in the half-spaces to obtain a non-homogeneoussystem of four equations in amplitude ratios of reflected and transmittedwaves. The amplitude ratios of reflected and transmitted waves are computedand shown graphically for different kinds of boundaries.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126632035","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: 9
Existence of solutions for $m$-point fractional boundary value problems. $m$点分数边值问题解的存在性
International Journal of Applied Mathematics and Computation Pub Date : 2013-08-01 DOI: 10.0000/IJAMC.2013.5.1.454
N. Nyamoradi
{"title":"Existence of solutions for $m$-point fractional boundary value problems.","authors":"N. Nyamoradi","doi":"10.0000/IJAMC.2013.5.1.454","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.1.454","url":null,"abstract":"In this paper, by employing the Leggett-Williams fixed point theorem, we study the existence of three solutions or the following $m$-point fractional boundary value problem begin{equation*} begin{cases} {}^cD_{0^+}^alpha u (t) = f (t, u (t), u' (t)), &    t in (0, 1), u''(0) = 0, ;;;u' (0) = sum_{i = 1}^{m - 2} a_i u' (xi_i), ;;; u (1) = sum_{i = 1}^{m - 2} b_i u (xi_i), end{cases} end{equation*} where $2 0$ for $1 leq i leq m - 2$ and $sum_{i = 1}^{m - 2} a_i < 1$, $0 < sum_{i = 1}^{m - 2} b_i  < 1$, $f in C ([0, 1] times [0, infty); [0, infty))$.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131139913","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
Solving fractional partial differential equations by an efficient new basis 用一种有效的新基求解分数阶偏微分方程
International Journal of Applied Mathematics and Computation Pub Date : 2013-07-16 DOI: 10.0000/IJAMC.2013.5.1.595
D. Rostamy, K. Karimi, E. Mohamadi
{"title":"Solving fractional partial differential equations by an efficient new basis","authors":"D. Rostamy, K. Karimi, E. Mohamadi","doi":"10.0000/IJAMC.2013.5.1.595","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.1.595","url":null,"abstract":"In this paper, we obtain the numerical solution of the general fractional partial differential equations. To this end, we introduce an efficient new basis based on the generalized fractional-order Bernstein functions. A general formulation for the fractional Bernstein operational matrix of fractional integral operator and derivatives operator for the first time is obtained. In this approach, a truncated fractional Bernstein series together with the fractional Bernstein operational matrix are used to reduce the such problems to those of solving a system of algebraic equations thus greatly simplifying the problem. Illustrative examples are included to demonstrate the validity and applicability of the presented technique. Presented results show that the method will improve the solutions of fractional partial differential equations.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133695116","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
Application of homotopy perturbation method to nonlinear fractional population dynamics models 同伦摄动方法在非线性分数型种群动力学模型中的应用
International Journal of Applied Mathematics and Computation Pub Date : 2012-12-23 DOI: 10.0000/IJAMC.2012.4.4.468
Zuodong Yang, Zhoujin Cui, Rui Zhang
{"title":"Application of homotopy perturbation method to nonlinear fractional population dynamics models","authors":"Zuodong Yang, Zhoujin Cui, Rui Zhang","doi":"10.0000/IJAMC.2012.4.4.468","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.4.468","url":null,"abstract":"The article presents the solutions of nonlinear fractional population dynamics models with the help of analytical method of nonlinear problem called the homotopy perturbation method (HPM). The nonlinear models considered are the multi-species Lotka-Volterra equations. The numerical solutions show that only a few iterations are needed to obtain accurate approximate solutions. The method performs extremely well in terms of efficiency and simplicity to solve this model.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"267 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122552119","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: 6
An improved remote user authentication scheme with smart cards using bilinear pairings 一种改进的使用双线性对的智能卡远程用户认证方案
International Journal of Applied Mathematics and Computation Pub Date : 2012-12-22 DOI: 10.0000/IJAMC.2012.4.4.599
A.K.Awasthi
{"title":"An improved remote user authentication scheme with smart cards using bilinear pairings","authors":"A.K.Awasthi","doi":"10.0000/IJAMC.2012.4.4.599","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.4.599","url":null,"abstract":"Manik et al. [3] proposed a novel remote user authentication scheme using bilinear pairings. Recently, Fang et al [15] analyzed this schemeand pointed out that the proposed scheme is insecure. They proposed an improvement over this scheme. Further, Giri and Srivastava [16]observed that the improved scheme of Fang et al is still insecure against off-line attack and they suggested a new improved scheme. However,the improved scheme is still insecure. In this paper, we show some attacks on this scheme and propose an improved protocol that provides thebetter security as compared to the schemes previously discussed.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129913835","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: 14
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