iosr-Jm   Volume-12 ~ Issue-3 ~ May-June 2016

Abstract: The object of the following paper is to investigate the effect of constant suction and injection on three dimensional Couette flow of a viscous incompressible electrically conducting fluid through a porous medium between two infinite horizontal parallel porous moving flat plates in presence of a transverse magnetic field. Both the plates are in uniform motion, subjected to a transverse sinusoidal injection and uniform suction of the fluid. Due to sinusodal type of injection, the flow becomes three dimensional.........

Keywords: MHD, couette flow, heat transfer, suction, sinusoidal injection, porous medium

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Abstract: In this paper, we introduce a general k- step implicit iterative scheme and we prove that the Mann, Ishikawa and Noor implicit iterative schemes are special cases of our result. Moreover, C programming is used to study and compare the rate of convergence with numerical examples. Finally, we deduce a new result that implicit iterative schemes converge faster as compared to explicit iterative schemes.

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Abstract: The Generator and Progenerator plays a vital role in the study of category equivalences. In this paper we establish the crutial result that an progrnerator semimodules are preserved under category equivalences.

Keywords: Semirings, Semimodules, Subtractive subsemimodules etc.

[1]. H. M. J. Al-Thani : Flat Semimodules, UMMS, 17, 2004, 873-880.
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[3]. Pritam R. Gujarathi: A Note on Generator Semimodules, International Journal of Mathematical Sciences and its Applications, 1(3), 2011
[4]. P. R. Gujarathi and R.P. Deore A Note on Localization of Semimodules, Inter- national Journal of Algenra, 15(4) 2010, 721-725
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Abstract: Scheduling n - jobs on m - machines in the flow shop environment is NP-hard and also finds prominent place in the field of production scheduling. In flow shop environment, order of the machine is always fixed in which the jobs are processed in an order found by an algorithm. Johnson [1] developed the 2- machine n- jobs problem and provided an algorithm for the order A - B, where A and B denotes the machines........

Keywords: Scheduling, Flow shop Scheduling, Heuristics, Makespan, Two machine problem.

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[4] J N D Gupta, A Functional Heuristic Algorithm for the Flow shop Scheduling Problems, Operations Research 22, 1971, 39-47.

[5] D G Dannenbring, An Evaluation of Flow-Shop Sequencing Problem, Management Science 23, 1977, 1174-1182.

Abstract: In this paper we study the inter relations between pairwise fuzzy -Baire spaces and other fuzzy bitopological spaces

Keywords: Pairwise fuzzy Baire space, pairwise fuzzy F-set, pairwise fuzzy Gδ -set, pairwise fuzzy open set, pairwise fuzzy submaximal space, pairwise fuzzy -nowhere dense set, pairwise fuzzy -second category space.

[1]. L. A. Zadeh, Fuzzy sets, Information and Control, 8 ,1965, 338–353.
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[3]. Jiling Cao and Sina Greenwood, The ideal generated by -nowhere dense sets, Appl. Gen. Topology, Vol.1 ,2000, 1–3.
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Abstract: The failure risk analysis has for objective to highlight telltale signs of a potential failure. These signals can be alerted on the accounting elements and / or financial (Dimitras et al., 1995). Also, in discussing the question of the factors leading to the deterioration of a company, most of the studies consider that any cause leading to the failure can be embodied in the accounting records (Conan and Holder, 1979). So, the financial ratios have relevant information content that allows them to predict the risk of business failure..........

Keywords: Artificial neural networks, Classification of business failures, Financial indicators, Linear discriminant analysis

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Abstract:In the present paper we discuss the highly pathogenic avian influenza epidemic model in the presence of vertical transmission function in poultry. We introduce a basic reproduction number 0 R for the model. The stability of the equilibrium points of the system is studied and discussed. Finally a numerical example is also included to illustrate the effectiveness of the proposed model.

Keywords:Avian Influenza, the Basic Reproduction Number, Stability, Vertical Transmission function

[1]. Che S., Xue Y., Ma L., The stability of highly pathogenic avian influenza epidemic model with saturated contact rate, Applied
Mathematics, 5 (2014); 3365-3371.
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Abstract: The present paper numerically discusses the phenomenon of fingero-imbibition in a double phase displacement process through slightly dipping porous medium with involvement of a layer of magnetic fluid in the injected phase. This phenomenon is assumed to occur in a double-phase displacement process involving two immiscible liquids of small viscosity difference in which the injection is initiated by imbibitions and the consequential displacement of the relatively more viscous native liquid produces fingers...........

Keywords: fingero-Imbibition phenomenon, Homogeneous porous medium, RDTM

[1] Scheidegger, A.E. and Jhonson, E.F.(1969) : "Statistical behaviour of in displacement process in porous media", Can. J. of Phs., 47, (3)
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[3] Verma. A. P. and Rajput A. K. Instabilities in displacement process through porous media with magnetic fluid, J. Magnetism and Magnetic Materials North-Holland, Amsterdam, 65, 330-334(1987).
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[5] Patel, A.V. Rabari N.S. Bhathawala P.H. : Numerical solution of Imbibition phenomenon in a homogeneous medium with magnetic fluid, IOSR-JM, e-ISSN: 2278-5728, Issue-4, pp. 11-19., 2015.

Abstract: We developed three off-stephybrid methods for 𝑘=3in block formation, which is of order nine by interpolation and collocation technique, using Legendre polynomials as our basis function of the approximation with constant step-size. The method was investigated and found to be convergent. The method was tested on third order numerical examples and compared with the existing methods;the superiority of our method overthe existing methods is established numerically.

Keywords: Interpolation, Collocation, Legendre Polynomials, Hybrid Method, Convergent.

[1] Adeniyi, R. B., Adeyefa, E. O. (2013). On Chebyshev collocation Approach for continuous formulation of implicit Hybrid Block Method for IVPs in second order ordinary differential equations. IOSR-journal of mathematics 6(4): 09- 12
[2] Anake, T. O. (2011), Continuous implicit Hybrid one-step method for the solution of Initial Value Problems for general second order ordinary differential equation Ph.D thesis Covenant University

[3] Yakusak, N. S., Emmanuel, S., John, D., Taiwo, E. O.(2015). Orthogonal collocation technique for the construction of continuous Hybrid method for second order Initial Value Problems. IJEAM 2(1): 177-181.
[4] Adesanya, A. O., Udoh, M. O., Ajileya, A. M. (2013). A new hybrid method for solution of general third order Initial Value Problems of ordinary differential equation. Inter. J. of pure and Applied Maths 86(2): 365 – 375
[5] Adeyemi, D. O., Idowu, O. M. (2005). A class of hybrid collocation method for third order ordinary differential equation. Inter. J. of Comp. Maths 82(2): 1287-1293.

Abstract: TTo understand the performance of the Technical Institutes for enriching a better teaching and research process. The score of the performance appraisal of the Institutes would serve an individual in choosing a particular Institution, to hire the right manpower, and provide financial support for the betterment of students and underperforming Institutions. In order to play a major role and be in the journey of the global economy a vast country like India needs the Institutions performance to go up so as to promote the Technical Education............

Keywords: BCC Model, Data Envelopment Analysis, DMUS, Efficiency Measurement, Technical Efficiency.

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