{"title":"Restrained 2-Domination Number of Complete Grid Graphs","authors":"J. Mohan, I. Kelkar","doi":"10.0000/IJAMC.2012.4.4.463","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.4.463","url":null,"abstract":"In this paper we present 2-dominating sets for complete grid graphs $G_{k,n}$ by using V-merge and H-merge techniques recursively and then find 2-domination and restrined 2-domination numbers of complete grid graphs. We also verify the Vizing’s conjecture for both domination parameters.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127810353","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}
{"title":"Exact solutions of the new Hamiltonian amplitude equation by the $(frac{G'}{G})$-expansion method","authors":"N. Taghizadeh, M. Najand","doi":"10.0000/IJAMC.2012.4.4.544","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.4.544","url":null,"abstract":"In this paper, we look for exact solutions of the new Hamiltonian amplitude equation by the improved $(frac{G'}{G})$-expansion method.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122629566","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}
{"title":"Numerical analysis for some autonomous stochastic delay differential equations","authors":"H. Ahmed","doi":"10.0000/IJAMC.2012.4.4.569","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.4.569","url":null,"abstract":"Numerical solution of stochastic delay differential equations is studied by using explicit one-step methods. One-step method is asymptotically zero-stable in the quadratic mean square sense.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"4 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120894376","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}
{"title":"Combined effects of thermal radiation and heat generation on natural convection in a square cavity filled with Darcy-Forchheimer porous medium","authors":"T. R. Mahapatraa, D. Pala, S. Mondal","doi":"10.0000/IJAMC.2012.4.4.540","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.4.540","url":null,"abstract":"Combined effects of thermal radiation and internal heat source/sink, formulation for natural-convection flow in a square cavity filled with porous medium using isothermal vertical walls and adiabatic horizontal ones, has been studied numerically by using finite-difference technique in staggered grid distribution. The simulations have been carried out by considering for both Darcian and non-Darcian models. The hydrodynamic field in the porous medium is modelled according to the general model involving Brinkman and Forchheimer terms. The present numerical approach yields consistent performance over the range of parameters for Rayleigh number, Thermal radiation parameter, Heat generating parameter in order to obtain the solutions in terms of streamlines, isotherms, velocity profiles, temperature profiles, local Nusselt numbers and the average Nusselt number. For the purpose of numerical simulation we have considered P r = 1.0 and Ɛ= 0.4. The results are also computed for vertical velocity and temperature profiles for non-porous case by taking Ɛ =1.0 and Da=10 4 . Heat transfer rates at the heated walls are presented in terms of local Nusselt number.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128016291","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}
{"title":"A B-Rep data structure and object GUI programming to implement 2D boundary elements","authors":"G. Gomes, M. Noronha","doi":"10.0000/IJAMC.2012.4.4.554","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.4.554","url":null,"abstract":"One of the main advantages of the Boundary Elements Methods (BEM) is the inherent feature of a Boundary Representation scheme (B-Rep),since it represents the geometry and physical properties of a model using just its boundary. This characteristic makes the representation andmanipulation of the model geometry an easy task, also allowing the boundary element mesh generation in a straightforward and simple way.Even though a simple pre-processor program may suffice for generating most two-dimensional boundary element models, in some specialcases the modeling procedure represents a cumbersome task, requiring pre-processor programs with enhanced characteristics. The specialcases considered in this work are non-trivial models, such as geometries with infinite or semi-infinite domains, multiple regions, disconnectedregions, cracks and holes. To handle with the modeling task of these special models, the present development proposes a scheme based onthe well-known Half-Edge data structure (HED). It also considers the use of Object-Oriented Programming (OOP) to implement a graphicaluser interface (GUI) with the proposed data structure. The results of step-by-step generation of some special two-dimensional models in theimplemented GUI illustrate the main characteristics of the proposed scheme.Keywords: Geometric Modeling, HED Data Structure, BEM, OOP, GUIs.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133521990","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}
{"title":"Finite buffer servers' vacation queue with change over times","authors":"P. V. Laxmi, Seleshi Demie, V. Goswami","doi":"10.0000/IJAMC.2012.4.4.506","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.4.506","url":null,"abstract":"This paper analyzes a finite buffer multiple and single vacation queues with change over times under (a,c,b) policy. The inter-arrival, service and vacation times are exponentially distributed. The server begins service if there are at least c units in the queue and the service takes place in batches with a minimum of size a and a maximum of size b ( a <= c<= b ). After a service completion if the q ueue size is less than c but not less than a secondary limit a , the server continues to serve and it takes a vacation if the queue size is less than a . The steady state queue length distributions are obtained and optimal cost policy is presented with some numerical experiences for some particular values of the parameters. The genetic algorithm is employed to search the optimal values of some important parameters of the system.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124759809","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}
{"title":"Simultaneous determination of unknown two parameters in parabolic equation","authors":"Baiyu Wang, A. Liao, W. Liu","doi":"10.0000/IJAMC.2012.4.3.383","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.3.383","url":null,"abstract":"This paper is concerned with the inverse problem of determining two parameters simultaneously in parabolic equation subject to the overdeteminations of the solution at special points along with the usual initial boundary conditions, and the unknown parameters are only time-dependent. The method of using some transformations of the problem and finite difference method are used to solve the problem. Numerical examples with the method indicate that the accurate estimates of the unknown parameters can be obtained even in the presence of noise in the data.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123538944","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}
{"title":"The neighbor coloring set in graphs","authors":"B. Chaluvaraju, C. Kumar, C. Appajigowda","doi":"10.0000/IJAMC.2012.4.3.424","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.3.424","url":null,"abstract":"Given a graph $G=(V, E)$, a set $Ssubseteq V$ is a neighborhood set of $G$, if $G = bigcup_{vin S}langle N[v]rangle$, where $langle N[v]rangle$ is the sub graph of $G$ induced by $v$ and all vertices adjacent to $v$. A neighborhood set $Ssubseteq V$ is said to be a neighbor coloring set of $G$ if each color class $V_{i}, 1leq i leq k$ contains at least one vertex, which belongs to $S$. The minimum cardinality taken over all neighbor coloring set of a graph $G$ is called neighbor chromatic number and is denoted by $chi_{eta}(G)$. In this paper, we study the properties of $chi_{eta}(G)$ and also its relationship with other graph theoretic parameters are explored.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126662390","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}
{"title":"Solving a class of ODEs arising in the analysis of a computer security process using generalized hyper-Lambert functions","authors":"P. Nastou, Y. Stamatiou, Apostolos Tsiakalos","doi":"10.0000/IJAMC.2012.4.3.474","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.3.474","url":null,"abstract":"In this paper, we derive the solution to a class of ordinary differential equations (ODEs) that arise from the theoretical analysis, conducted in a previous work, of a key agreement process stemming from computer security. The analysis led to a new class of ordinary differential equations that resemble the well known class of Abel differential equations of the First Kind except that this new class involves the unknown function in powers greater than three. To the best of our knowledge, no general solution strategy exists for integrating the differential equations in this class towards a solution. We show that the solution to these ordinary differential equations can be expressed, interestingly, through the use of a class of Generalized Hyper-Lambert Functions that naturally generalize the well known Lambert $W$ function, which frequently arises in the analysis of engineering applications. A key step to the connection of the solution of the differential equations with Generalized Hyper-Lambert Functions is the analysis of the equations into partial fractions in a way that matches the recursive pattern of the definition of these functions.","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124530486","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}
{"title":"Comment on \"Analytical solution to the problem of MHD free convective flow of an electrically conducting fluid between two heated parallel plates in the presence of an induced magnetic field\"","authors":"B. Sharma","doi":"10.0000/IJAMC.2012.4.3.543","DOIUrl":"https://doi.org/10.0000/IJAMC.2012.4.3.543","url":null,"abstract":"In this letter, we comment on two fundamental errors of the paper ”‘analytical solution to the problem of MHD free convective flow of an electrically conducting fluid between two heated parallel plates in the presence of an induced magnetic field”’ [International Journal of Applied Mathematics and Computation, Vol. 1(4), pp 183-193, 2009].","PeriodicalId":173223,"journal":{"name":"International Journal of Applied Mathematics and Computation","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127025096","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}