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International Journal of Applied Mathematics and Computation最新文献

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On the solution of fractional space-time nonlinear differential equations 分数阶时空非线性微分方程的解
International Journal of Applied Mathematics and Computation Pub Date : 2014-03-18 DOI: 10.0000/IJAMC.2013.5.3.582
M. A. Abdou
{"title":"On the solution of fractional space-time nonlinear differential equations","authors":"M. A. Abdou","doi":"10.0000/IJAMC.2013.5.3.582","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.3.582","url":null,"abstract":"The fractional Riccati equation with  Riemann-Liouville derivatives has been successively used to find the explicit solutions of the space-time of nonlinear fractional partial differential equations.Three  models of special interest with fractional space-time derivative of order $alpha$,$0<alpha<1$ are considered. The three models are tested to illustrate the pertinent feature of the proposed algorithm.This approach can also be applied to other nonlinear fractional differential equations arising in mathematical physics.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121923558","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
Eigenvalue Problems for System of Third Order Four-Point Nonlinear Boundary Value Problems on Time Scales 时间尺度上三阶四点非线性边值问题的特征值问题
International Journal of Applied Mathematics and Computation Pub Date : 2014-03-11 DOI: 10.0000/IJAMC.2013.5.3.613
S. Nageswararao, A. Kameswararao
{"title":"Eigenvalue Problems for System of Third Order Four-Point Nonlinear Boundary Value Problems on Time Scales","authors":"S. Nageswararao, A. Kameswararao","doi":"10.0000/IJAMC.2013.5.3.613","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.3.613","url":null,"abstract":"Values of Tthe parametes are determined for which there exist positive solutions of the system of four-point nonlinear boundary value problems satisfying four-point boundary value problems. A Guo-Krasnosel'skii xed point- theorem is applied.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123059716","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
The direct algebraic method to complex nonlinear partial differential equations 复数非线性偏微分方程的直接代数解法
International Journal of Applied Mathematics and Computation Pub Date : 2014-03-05 DOI: 10.0000/IJAMC.2013.5.3.382
N. Taghizadeh, M. Mirzazadeh
{"title":"The direct algebraic method to complex nonlinear partial differential equations","authors":"N. Taghizadeh, M. Mirzazadeh","doi":"10.0000/IJAMC.2013.5.3.382","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.3.382","url":null,"abstract":"By means of the two distinct methods, the direct algebraic method and the cosine method, we successfully performed an analytic study on the (2+1)-dimensional cubic nonlinear  Schr\"{o}dinger equation.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"110 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122706758","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
m-Series of the generalized difference equation to polynomial factorials 广义差分方程到多项式阶乘的m级数
International Journal of Applied Mathematics and Computation Pub Date : 2014-02-23 DOI: 10.0000/IJAMC.2013.5.3.616
B. Xavier, G. Soundararajan, C. Vadivel
{"title":"m-Series of the generalized difference equation to polynomial factorials","authors":"B. Xavier, G. Soundararajan, C. Vadivel","doi":"10.0000/IJAMC.2013.5.3.616","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.3.616","url":null,"abstract":"We investigate the numerical-complete solution of the generalized higher order difference equation to find the value of m-series to the product of polynomials and polynomial factorials in the field of finite difference methods. We also provide suitable examples, verified by Matlab programming, to illustrate the m-series.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122238334","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
Homotopy Perturbation Method and Reduced Differential Transform Method for Solving (1+1)-Dimensional Nonlinear Boussinesq Equation 求解(1+1)维非线性Boussinesq方程的同伦摄动法和简化微分变换法
International Journal of Applied Mathematics and Computation Pub Date : 2014-02-23 DOI: 10.0000/IJAMC.2013.5.2.393
N. Taghizadeh, M. Akbari, M. Shahidi
{"title":"Homotopy Perturbation Method and Reduced Differential Transform Method for Solving (1+1)-Dimensional Nonlinear Boussinesq Equation","authors":"N. Taghizadeh, M. Akbari, M. Shahidi","doi":"10.0000/IJAMC.2013.5.2.393","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.2.393","url":null,"abstract":"In this paper, we will introduce the homotopy perturbation method (HPM) and the reduced differential transform method (RDTM) for solving (1+1)-dimensional nonlinear Boussinesq equation. The analytical solution of the equation have been obtained in terms of convergent series with easily computable components. The obtained results show that the proposed methods are very powerful and convenient mathematical tool for nonlinear evolution equations in science and engineering.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133518050","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
Exact soliton solutions for ((2+1))-dimensional dispersive long wave equation ((2+1))维色散长波方程的精确孤子解
International Journal of Applied Mathematics and Computation Pub Date : 2014-02-23 DOI: 10.0000/IJAMC.2013.5.2.390
N. Taghizadeh, M. Mirzazadeh
{"title":"Exact soliton solutions for ((2+1))-dimensional dispersive long wave equation","authors":"N. Taghizadeh, M. Mirzazadeh","doi":"10.0000/IJAMC.2013.5.2.390","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.2.390","url":null,"abstract":"In this paper, the first integral method is used to construct exact traveling wave solutions of $(2+1)-$ dimensional dispersive long wave equation. The first integral method is an efficient method for obtaining exact solutions some of nonlinear partial differential equations. This method can be applied to nonintegrable equations as well as to integrable ones.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116734038","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
Effect of Hall current and rotation on chemically reacting and radiating MHD oscillatory dusty viscoelastic flow through porous vertical channel 霍尔电流和旋转对化学反应和辐射MHD振荡粉尘通过多孔垂直通道的粘弹性流的影响
International Journal of Applied Mathematics and Computation Pub Date : 2014-02-23 DOI: 10.0000/IJAMC.2013.5.3.615
K. C. Thakur, Sanjeev Kumar
{"title":"Effect of Hall current and rotation on chemically reacting and radiating MHD oscillatory dusty viscoelastic flow through porous vertical channel","authors":"K. C. Thakur, Sanjeev Kumar","doi":"10.0000/IJAMC.2013.5.3.615","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.3.615","url":null,"abstract":"The combine effect of the hall current, rotation, radiation and chemical reaction on MHD oscillatory free convective, dusty, viscoelastic, incompressible and electrically conducting fluid in an infinite porous vertical channel has been analysed. A uniform injection/ suction velocity is applied at the plates and uniform magnetic field of uniform strength is applied in the direction normal to the plane of the plates. The entire system rotates about the axis normal to the planes of the plates with uniform angular velocity. The solution of the equations governing the flow are obtained for fluid velocity, dust particle velocity, temperature and concentration profile. The effect of the various parameters entering in the governing equations on flow are evaluated numerically and discussed with the help of graphs and tables.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130505857","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
Green element numerical solution of generalized Couette flow with heat transfer 带传热的广义Couette流的格林元数值解
International Journal of Applied Mathematics and Computation Pub Date : 2014-02-13 DOI: 10.0000/IJAMC.2013.5.2.537
O. Onyejekwe
{"title":"Green element numerical solution of generalized Couette flow with heat transfer","authors":"O. Onyejekwe","doi":"10.0000/IJAMC.2013.5.2.537","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.2.537","url":null,"abstract":"This paper provides a Green element  method (GEM) numerical  analysis of the effects of  a uniform transverse magnetic field on fluid flow. The Green element method is a robust numerical scheme that evolved essentially from the singular integral  theory of the boundary element method (BEM) with the unique variety of numerically implementing the theory  by  the finite element procedure. One of the advantages inherent in this approach is that the coefficient matrix from the discrete  equations of the assembled element equations is banded and amenable to numerical  solution. For the purposes of this study,   the fluid is incompressible, and electrically conducting, and  flows between two parallel plates, one of which is moving with a uniform speed  while the other is stationary. The depth of the channel is taken to be much smaller than the width and the channel is considered to be  very long in the horizontal direction. As a result,  the flow is  assumed to be fully developed and  driven by a pressure gradient in a uniform magnetic field. Numerical solutions obtained with GEM closely match analytical results. In order to validate the physics and numerics of the problem formulation,  comprehensive  parametric studies are carried out to show the effects on flow  and electromagnetic fields of Hartmann number, pressure gradient, current distributions, and temperature .","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128109725","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
Some results for the weighted Drazin inverse of a modified matrix 修正矩阵的加权Drazin逆的一些结果
International Journal of Applied Mathematics and Computation Pub Date : 2014-02-13 DOI: 10.0000/IJAMC.2014.6.1.643
A. Shakoor, Hu Yang, Ilyas Ali
{"title":"Some results for the weighted Drazin inverse of a modified matrix","authors":"A. Shakoor, Hu Yang, Ilyas Ali","doi":"10.0000/IJAMC.2014.6.1.643","DOIUrl":"https://doi.org/10.0000/IJAMC.2014.6.1.643","url":null,"abstract":"In this paper, we give some results for the W-weighted Drazin inverse of a modified matrix $M=A-CWD_{d,w}WB$ in terms of the W-weighted Drazin inverse of the matrix $A$ and the generalized Schur complement $Z=D-BWA_{d,w}WC$, generalizing some recent results in the literature.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129411225","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
A single server finite source loss model with general bulk service rule 具有一般批量服务规则的单服务器有限源损耗模型
International Journal of Applied Mathematics and Computation Pub Date : 2014-02-12 DOI: 10.0000/IJAMC.2013.5.2.462
R. Kalyanaraman, R. Saritha
{"title":"A single server finite source loss model with general bulk service rule","authors":"R. Kalyanaraman, R. Saritha","doi":"10.0000/IJAMC.2013.5.2.462","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.2.462","url":null,"abstract":"A single server general bulk service finite source loss model has been studied. For this model the system steady state probabilities and waiting time distributions are obtained. Some performance measures are also calculated. Particular model is deduced and some numerical examples are also given.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121088622","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
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