iosr-Jm   Volume-1 ~ Issue-3

Abstract: In this paper we discus about 'Effect of environmental pollution on the growth and existence biological populations' in terms of H-function

[1]. Srivastava, H. M., Gupta, K. C. and Goyal, S. P.: The H-function of one and two variables with applications, South Assian Publishers, New Delhi, 1982.
[2]. Aubert, M. and Aubert, J.: Pollutions et Amenagement Des Rivages, C. E. R. B. O. M., 1973, p. 308.
[3]. Charles, N. and Haas, J.: WPCF 53 (1981), 378-86.
[4]. Hallam, T. J. and Deluna, J. L.: J. Theor. Biol. 109 (1984), 411-29.
[5]. Hari, P. Raunemaa, T. and Hautojarvi, A.: Atmospheric Environment 20 (1986), 129-37.
[6]. James N Woodman and Ellis B. Cowling: Environ. Sci. Tech. 21 (1987), 120-26.
[7]. Jensen, A. L. and Marshall, J. S.: Environmental Pollution (Series A) 28 (1982), 273-80.
[8]. Mironov, O. G.: Biological Resources of the Sea and Oil pollution, pishechevaya Promyshlennost, Moscow, 1972., p. 105.
[9]. Patin, S. A.: Pollution and the Biological Resources of the Oceans, Butter Worth Scientific, London, 1982.
[10]. Smith A. Nelson: Advances in Marine Biology, Academic Press, London, 1970, pp. 215-306.

Abstract: In this paper a steady three dimensional flow of a viscous – incompressible fluid through highly porous medium bounded by a vertical infinite porous plate under the influence of a transverse applied magnetic field, with periodic suction velocity is considered. Governing equations are solved by using perturbation technique and obtained the expressions for velocity and temperature. The above flow quantities are discussed through the graphs for different physical parameters. Also the expressions for shear stress and the rate of heat transfer co-efficient are derived and discussed.
Keywords: MHD, Laminar flow, porous medium, suction velocity, shear stress & Rate of heat transfer.

[1]. Feike J.L, Todd H.S, Martinus T.H, (1999), "Analytical solutions for solute transport in three-dimensional semi-infinite porous media", Water resources Research. vol. 27, No. 10, pp. 2719-2733.
[2]. Ling S.C, Nazar .R, Pop. I, (2007), "Steady mixed convection boundary layer flow over a vertical flat plate over a vertical flat plate in a porous medium filled with water at 40c: cases of variable wall temperature", Transport in porous media, vol.69,No.3, pp. 359-372.
[3]. Ling S.C, Nazar .R, Pop.I, (2007), "Steady mixed convection boundary-layer flow over a vertical flat surface in a porous medium filled with water at 40c variable surface Heat flux", Transport in porous Media,vol.70, No.3, pp. 307-321.
[4]. Gupta G. D and Rajesh. J, (2001), " MHD Three dimensional flow post a porous plate", Indian J. Pure, appl. Math., 32(3), pp. 377-386.
[5]. Wang J.G and Leung C.F and Chow Y.K, (2003), "Numerical solutions for flow in porous media", Int. J. Numer. Anal. Meth. Geomech., 27, pp. 565-583
[6]. Alam M.S, Rahman M.M and Samad M.A, (2006), "Numerical study of the combined free forced convection and Mass transfer flow past a vertical porous plate in a porous medium with heat generation and thermal diffusion", Nonlinear Analysis: Modeling and control, Vol.11, No.4, pp. 331-343.
[7]. Bejan . A and Khair .K.R, (1985), " Heat and mass transfer by natural convection in a porous medium", Int.J. Heat Mass Transfer 28(5), pp. 909-918.
[8]. Lai F.C and Kulaki F.A, (1990), "The effect of variable viscosity on convective heat Transfer along a vertical surface in a saturated porous medium.," Int. J. Heat Mass Transfer 35(5), pp. 028-1031.
[9]. Singh K.D and Sharma .R, (2000), "Three dimensional couette flow through a porous medium with Heat Transfer", Indian J. pure, appl. math., 32(12), pp. 1819- 1829.
[10]. Raju M. C and Varma S.V.K , Reddy P.V and Suman .S, (2008) "Soret effects due to natural convection between heat inclined plates with Magnetic field", J. of Mechanical Engineering , Vol M.E 39, PP. 43-48.

Abstract: This paper compares the performance of the former model order determination criteria with new Approach in terms of selecting the correct order of an autoregressive time series model in small and large samples. The considered criteria are the Akaike information criterion (AIC); Scwarz information criterion (SIC), the Hannan − Quinn criterion (HQ) and the three new median criteria. Our results show that the median between AIC and Scwarz (MAS) criterion performs best in terms of selecting the correct order of an Autoregressive model for small and large samples sizes. Scwarz, Hannan Quinn, the median of Akaike and Hannan Quinn (MAH) criteria and median of Scwarz and Hannan Quinn can be said to perform best in large samples. The comparison of the six model selection criteria was in terms of their percentage of number of times that they identify the "true" model. The simulation results indicate that overall, the proposed Median of Akaike and Scwarz (MAS) information criterion showed very good performance in this simulation study. So, we recommend median of Akaike & Schwarz (MAS), Median of Schwarz & Hannan Quinn (MSH), and median of Akaike &Hannan Quinn information criterion as reliable criteria to identify the "true" model.
Keywords: Information criteria, best performance, new median information criteria.

[1]. Shibata. 1976. "Selection of the Order of an Autoregressive Mode by Akaike information Criterion", Biomertica, 63, pp.117-126.
[2]. Box, G.E.P. and G.M. Jenkins, 1976. Time Series Analysis: Forecasting and Control.1st Edn, Holden-Day, San Francisco, and ISBN: 0816211043, pp: 575.
[3]. Akaike, H .1974. "Information Theory and an Extention of the Maximum Likelihood Principle" In B.N Petror and F. Csaki, ed. 2nd, International symposium on Inference Theory,
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Abstract: In this paper, fuzzy L-filter and level fuzzy L-filter are defined. Also some elementary properties and theorems are derived. Some examples are provided.
Key Words-Fuzzy L-ideals, level fuzzy L-ideals, fuzzy L-filters and level fuzzy L-filters.

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Abstract: This work presents numerical methods for solving initial value problems in ordinary differential equations. Euler's method is presented from the point of view of Taylor's algorithm which considerably simplifies the rigorous analysis while Runge Kutta method attempts to obtain greater accuracy and at the same time avoid the need for higher derivatives by evaluating the given function at selected points on each subinterval. We discuss the stability and convergence of the two methods under consideration and result obtained is compared to the exact solution. The error incurred is undertaken to determine the accuracy and consistency of the two methods.
Key words: Differential Equation, Error, Euler's Method, Runge Kutta Method, Stability.

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Abstract: The problem of heat transfer in the steady flow of an incompressible second-order fluid between two enclosed discs rotating with different angular velocities has been discussed. The effect of elastico-viscosity, cross-viscosity parameters and ratio of the angular velocity on the temperature profile and Nusselt number for the cases of radial outflow and inflow have been investigated in the regions of no-recirculation and recirculation.
Key words : Heat transfer, steady flow, second-order fluid, two enclosed discs, rotating with different angular
velocities.

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ABSTRACT: An improved ant colony algorithm for optimal control problems with box constrain on control functions is presented. The hypercube of the feasible controls as well as the time interval are initially discretized to approximate control problem into a discrete parameter selection problem. Then, the ant colony algorithm is applied to search for optimum parameters of approximated problem while a proper local search is also introduced to iteratively enhance the quality of solution. The results of numerical simulation on MATLAB environment illustrate the effectiveness of this method.
Keywords - Ant colony, Global optimization, Optimal control problem.

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