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G/G'-expansion Method for ZK-BBM Equation ZK-BBM方程的G/G′展开法
International Journal of Applied Mathematics and Computation Pub Date : 2015-01-28 DOI: 10.0000/IJAMC.2014.6.2.562
S. Bibi, S. Mohyud-Din
{"title":"G/G'-expansion Method for ZK-BBM Equation","authors":"S. Bibi, S. Mohyud-Din","doi":"10.0000/IJAMC.2014.6.2.562","DOIUrl":"https://doi.org/10.0000/IJAMC.2014.6.2.562","url":null,"abstract":"In this paper, we apply -expansion to find travelling wave solution of the ZK-BBM equation. The travelling wave solutions are expressed by functions which are hyperbolic, trigonometric and rational functions. Numerical results clearly reflect the efficiency of proposed scheme.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"103 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123431468","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
Inverse Heat Conduction Problem in a Semi-infinite Hollow Cylinder and its Thermal Deflection by Quasi-static Approach 半无限中空圆柱体的反热传导问题及其准静态方法的热偏转
International Journal of Applied Mathematics and Computation Pub Date : 2015-01-28 DOI: 10.0000/IJAMC.2014.6.2.602
G. D. Kedar, K. Deshmukh
{"title":"Inverse Heat Conduction Problem in a Semi-infinite Hollow Cylinder and its Thermal Deflection by Quasi-static Approach","authors":"G. D. Kedar, K. Deshmukh","doi":"10.0000/IJAMC.2014.6.2.602","DOIUrl":"https://doi.org/10.0000/IJAMC.2014.6.2.602","url":null,"abstract":"In this study inverse heat conduction problem is to simultaneously determine unknown temperature and thermal deflection on the outer curved surface of a semi-infinite hollow circular cylinder from the knowledge of temperature distribution within the cylinder. The hollow circular cylinder is subjected to an arbitrary known temperature under unsteady state condition. Initially the cylinder is at zero temperature and temperature at the lower surface is at zero heat flux. Also the inner boundary surface of the cylinder is at zero temperature. The governing heat conduction equation has been solved by using integral transform method. The results are obtained in series form in terms of Bessel’s functions. Mathematical model has also been constructed with the help of numerical illustration.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125877836","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: 4
Power means based modification of Newton’s method for solving nonlinear equations with cubic convergence 幂指对求解非线性三次收敛方程的牛顿方法的改进
International Journal of Applied Mathematics and Computation Pub Date : 2015-01-28 DOI: 10.0000/IJAMC.2014.6.2.631
Jayakumar Jayaraman, M. Kalyanasundaram
{"title":"Power means based modification of Newton’s method for solving nonlinear equations with cubic convergence","authors":"Jayakumar Jayaraman, M. Kalyanasundaram","doi":"10.0000/IJAMC.2014.6.2.631","DOIUrl":"https://doi.org/10.0000/IJAMC.2014.6.2.631","url":null,"abstract":"In this paper, a class of Newton-type methods known as trapezoidal power means Newton method for solving nonlinear equation is proposed.  The new methods incorporate power means in the trapezoidal integration rule along with midpoint, thus replacing  in the classical Newton method.  Some known variants can be regarded as particular cases of this method.  The order of convergence of these methods is shown to be three.  Numerical examples and their results are provided to compare the efficiency of the new methods with few other similar methods.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"170 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114262456","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: 4
Stagnation point flow of MHD micropolar fluid towards a vertical plate by surface heat flux 表面热通量对MHD微极流体向垂直板的驻点流动的影响
International Journal of Applied Mathematics and Computation Pub Date : 2014-10-24 DOI: 10.0000/IJAMC.2014.6.1.628
A. Adhikari
{"title":"Stagnation point flow of MHD micropolar fluid towards a vertical plate by surface heat flux","authors":"A. Adhikari","doi":"10.0000/IJAMC.2014.6.1.628","DOIUrl":"https://doi.org/10.0000/IJAMC.2014.6.1.628","url":null,"abstract":"A Magnetohydrodynamics (MHD) mixed convection stagnation point flow of an incompressible micropolar fluid towards a stretching vertical surface with prescribed surface heat flux is studied in this paper. The transformed differential equations are solved numerically by a finite-difference scheme, known as Keller-box method. Numerical results are obtained for the velocity, microrotation and temperature distribution for various parameters. Dual similarity solutions are found to exist for the opposing flow, while for the assisting flow, the solution is unique.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130320846","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 single unit system with preventive maintenance and repair subject to maximum operation and repair times 在最大运行和维修时间内进行预防性维护和维修的单一单元系统
International Journal of Applied Mathematics and Computation Pub Date : 2014-10-20 DOI: 10.0000/IJAMC.2014.6.1.640
Ashish Kumar, M. Saini, Shahid Malik
{"title":"A single unit system with preventive maintenance and repair subject to maximum operation and repair times","authors":"Ashish Kumar, M. Saini, Shahid Malik","doi":"10.0000/IJAMC.2014.6.1.640","DOIUrl":"https://doi.org/10.0000/IJAMC.2014.6.1.640","url":null,"abstract":"The purpose of the present study is to determine reliability measures of a single-unit system considering arbitrary distributions for the random variables associated with failure time, preventive maintenance and repair times, maximum operation time, maximum repair time and replacement time. The system fails completely either directly from normal mode or via partial failure. There is a single server who visits the system immediately to do repair activities. The partially failed operating unit is shutdown after pre-specific time (called maximum operation time) for preventive maintenance. However, repair of the unit is done after its complete failure. The completely failed unit is replaced by new one if server is unable to do its repair within a maximum repair time. The unit works as new after preventive maintenance and repair. The expressions for some important measures of system effectiveness are derived using semi-Markov process and regenerative point technique. The numerical results for a particular case are obtained to depict the behavior of MTSF, availability and profit function with respect to maximum operation time for fixed values of other parameters and costs.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"369 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114502482","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: 4
Application of non-polynomial SPLAGE algorithm for the numerical solution of singular two point boundary value problems using non-uniform mesh scheme 非多项式SPLAGE算法在奇异两点边值问题非均匀网格格式数值解中的应用
International Journal of Applied Mathematics and Computation Pub Date : 2014-04-24 DOI: 10.0000/IJAMC.2013.5.4.590
Navnit Jha
{"title":"Application of non-polynomial SPLAGE algorithm for the numerical solution of singular two point boundary value problems using non-uniform mesh scheme","authors":"Navnit Jha","doi":"10.0000/IJAMC.2013.5.4.590","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.4.590","url":null,"abstract":"The purpose of this article is to present non-polynomial spline approximations using non-uniform mesh for the numerical treatment of singular boundary value problems. The numerical method is compact and exhibit homogeneous fourth order of convergence. The resulting nonlinear difference schemes are solved by alternating group explicit parallel algorithm. The utility of new schemes are illustrated by Burger’s equation, Duffing equation and Thomas Fermi model. Computational order of convergence and maximum absolute errors are given to demonstrate the efficiency of the non-uniform mesh approach.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"35 9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132616078","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
New Exact Travelling Wave Solutions for Generalized Zakharov Equations Using the First Integral Method 广义Zakharov方程的一阶积分新精确行波解
International Journal of Applied Mathematics and Computation Pub Date : 2014-04-24 DOI: 10.0000/IJAMC.2013.5.4.558
A. Achab
{"title":"New Exact Travelling Wave Solutions for Generalized Zakharov Equations Using the First Integral Method","authors":"A. Achab","doi":"10.0000/IJAMC.2013.5.4.558","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.4.558","url":null,"abstract":"In this paper, we investigate the first integral method for solving the solutions of nonlinear Generalized Zakharov Equations. This idea can obtain some exact solutions of this equations based on the theory of Commutative algebra.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123003364","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
Effect of imposed time-periodic boundary temperature on on the onset of rayleigh-benard convection in a dielectric couple stress fluid 施加时间周期边界温度对介电偶应力流体中瑞利-贝纳德对流开始的影响
International Journal of Applied Mathematics and Computation Pub Date : 2014-04-19 DOI: 10.0000/IJAMC.2013.5.4.460
S. Pranesh, S. George
{"title":"Effect of imposed time-periodic boundary temperature on on the onset of rayleigh-benard convection in a dielectric couple stress fluid","authors":"S. Pranesh, S. George","doi":"10.0000/IJAMC.2013.5.4.460","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.4.460","url":null,"abstract":"The effect of imposed time-periodic boundary temperature of small amplitude on electroconvection under AC electric field in dielectric couple stress liquids is investigated by making a linear stability analysis. A regular perturbation method is used to arrive at an expression for the correction Rayleigh number that throws light on the possibility of sub-critical motions. The Venezian approach is adopted for obtaining eigen value of the problem. Three cases of oscillating temperature field are examined: (a) symmetric, so that the wall temperatures are modulated in phase, (b) asymmetric, corresponding to out-of phase modulation and (c) only the lower wall is modulated.  It is shown that the system is most stable when the boundary temperatures are modulated out-of-phase.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124169506","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
The direct algebra method to the Hamiltonian amplitude equation and the higher-order nonlinear Schr¨odinger equation 用直接代数方法求解哈密顿振幅方程和高阶非线性薛定谔方程
International Journal of Applied Mathematics and Computation Pub Date : 2014-04-19 DOI: 10.0000/IJAMC.2013.5.4.573
N. Taghizadeh, M. Mirzazadeh
{"title":"The direct algebra method to the Hamiltonian amplitude equation and the higher-order nonlinear Schr¨odinger equation","authors":"N. Taghizadeh, M. Mirzazadeh","doi":"10.0000/IJAMC.2013.5.4.573","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.4.573","url":null,"abstract":"By using the direct algebra method, the traveling wave solutions for the Hamiltonian amplitude equation and the higher-order nonlinear Schr\"{o}dinger equation are constructed. The obtained results include complex exponential function solutions, complex traveling solitary wave solutions, complex periodic wave solutions. The power of this manageable method is confirmed. The Hamiltonian amplitude equation is an equation which governs certain instabilities of modulated wave trains, with the additional term $-epsilon u_{xt}$ overcoming the ill-posedness of the unstable nonlinear Schr\"{o}dinger equation. It is a Hamiltonian analogue of the Kuramoto-Sivashinski equation which arises in dissipative systems and is apparently not integrable.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134452535","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
Optimal Control of Discrete Volterra System - a Classical Approach 离散Volterra系统的最优控制——一种经典方法
International Journal of Applied Mathematics and Computation Pub Date : 2014-04-19 DOI: 10.0000/IJAMC.2013.5.4.633
T. Shah, R. K. George
{"title":"Optimal Control of Discrete Volterra System - a Classical Approach","authors":"T. Shah, R. K. George","doi":"10.0000/IJAMC.2013.5.4.633","DOIUrl":"https://doi.org/10.0000/IJAMC.2013.5.4.633","url":null,"abstract":"In this paper, optimal control problem described by discrete-time linear Volterra system is studied by the conventional minimization method of Lagrange multipliers.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129693049","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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