American Journal of Computational Mathematics http://www.i-scholar.in/index.php/AJCM <p>American Journal of Computational Mathematics is a journal dedicated to providing a platform for publication of articles about mathematical research in areas of science where computing plays a central and essential role emphasizing algorithms, numerical methods, and symbolic methods.</p> Scientific Research Publishing Inc. en-US American Journal of Computational Mathematics 2161-1203 Effects of Rayleigh Number on MHD Heat Transfer and Fluid Flow in Two-dimensional Open Square Cavity with Heat Generation http://www.i-scholar.in/index.php/AJCM/article/view/95321 The present work is devoted to investigating heat transfer and fluid flow in a two dimensional square open cavity containing a heated circular cylinder at the centre. A constant heat flux is set at the left sidewall; high and low temperatures are fixed at the bottom and top walls of the cavity respectively. The right side of the cavity is open. Galerkin Weighted Residual Finite Element Analysis is used to visualize the heat transfer and fluid flow solving two-dimensional governing mass, momentum and energy equations for steady state, heat transfer and fluid flow in presence of magnetic field in side an open square cavity. A uniformly heated circular cylinder is placed at the centre of the cavity as a heat source. To find the effects of Rayleigh number (Ra) on the thermal fields and fluid flow in presence of magnetic field and a heated circular cylinder as heat source by visualization and line graphs is the objective of this study. Numerical results are presented in graphical and tabular form. The study is conducted for different values of Rayleigh number, some fixed Hartmann numbers (Ha) and heat flux (q). In the conclusion it has been observed that the temperature field and fluid flow pattern are functions of the parameters Rayleigh number and Hartmann number. Sheikh Anwar Hossain Mohammad Abdul Alim Satrajit Kumar Saha 2016-03-01 2016-03-01 6 Self Similarity Analysis of Web Users Arrival Pattern at Selected Web Centers http://www.i-scholar.in/index.php/AJCM/article/view/95323 The paper focuses on measuring self-similarity using few techniques by an index called Hurst index which is a self-similarity parameter. It has been evident that Internet traffic exhibits selfsimilarity. Motivated by this fact, real time web users at various centers considered here as traffic and it has been examined by various methods to test the self-similarity. The results from the experiments carried out verify that the traffic examined in the present study is self similar using a new method based on some descriptive measures; for example percentiles have been applied to compute Hurst parameter which gives intensity of the self-similarity. Numerical results and analysis we discussed and presented here play a significant role to improve the services at web centers in the view of quality of service (QOS). Pushpalatha Sarl Mallikarjuna Reddy Doodipala Manohar Dingari 2016-03-01 2016-03-01 6 Global Existence of Periodic Solutions in a Nonlinear Delay-coupling Chaos System http://www.i-scholar.in/index.php/AJCM/article/view/95325 The dynamics of a unidirectional nonlinear delayed-coupling chaos system is investigated. Based on the local Hopf bifurcation at the zero equilibrium, we prove the global existence of periodic solutions using a global Hopf bifurcation result due to Wu and a Bendixson's criterion for higher dimensional ordinary differential equations due to Li&amp;Muldowney. Yanqiu Li Jihua Yang Feng Rao 2016-03-01 2016-03-01 6 An Integer Coding based Optimization Model for Queen Problems http://www.i-scholar.in/index.php/AJCM/article/view/95327 Queen problems are unstructured problems, whose solution scheme can be applied in the actual job scheduling. As for the n-queen problem, backtracking algorithm is considered as an effective approach when the value of n is small. However, in case the value of n is large, the phenomenon of combination explosion is expected to occur. In order to solve the aforementioned problem, queen problems are firstly converted into the problem of function optimization with constraints, and then the corresponding mathematical model is established. Afterwards, the n-queen problem is solved by constructing the genetic operators and adaption functions using the integer coding based on the population search technology of the evolutionary computation. The experimental results demonstrate that the proposed algorithm is endowed with rapid calculation speed and high efficiency, and the model presents simple structure and is readily implemented. Nengfa Hu 2016-03-01 2016-03-01 6 MHD Stagnation Point Flow of a Casson Fluid over a Nonlinearly Stretching Sheet with Viscous Dissipation http://www.i-scholar.in/index.php/AJCM/article/view/95329 Study to analyze the MHD stagnation point flow of a Casson fluid over a nonlinearly stretching sheet with viscous dissipation was carried out. The partial differential equations governing this phenomenon were transformed into coupled nonlinear ordinary differential equations with suitable similarity transformations. These equations were then solved by finite difference technique known as Keller Box method. The various parameters such as Prandtl number <em>(Pr)</em>, Eckert number <em>(Ec)</em>, Magnetic parameter <em>(M)</em>, Casson parameter <em>(β)</em> and non linear stretching parameter <em>(n)</em> determining the velocity and temperature distributions, the local Skin friction coefficient and the local Nusselt number governing such a flow were also analyzed. On analysis it was found that the Casson fluid parameter <em>(β)</em> decreased both the fluid velocity and temperature whereas an increase in <em>(β)</em> increased both the heat transfer rate and wall skin-friction coefficient. Monica Medikare Sucharitha Joga Kishore Kumar Chidem 2016-03-01 2016-03-01 6 Development of a Numerical Scheme http://www.i-scholar.in/index.php/AJCM/article/view/95332 In this paper, we developed a new numerical scheme which aimed to solve some initial value problems of ordinary differential equations. The full breakdown of this new numerical scheme derivation is presented. While in our subsequent research, we shall fully examine the characteristics of the scheme such as consistency, convergence and stability. Also, the implementation of this new numerical scheme shall be worked-on and comparison shall also be made with some existing methods. R. B. Ogunrinde T. E. Olaosebikan 2016-03-01 2016-03-01 6