iosr-Jm   Volume-17 ~ Issue-5 ~ Sep. – Oct. 2021

Abstract:Background: Assignment problem is of great importance in mathematics and is also discuss in real physical world. In this paper we attempt to bring in a new effective method for solving assignment problem with algorithm and solution steps. We experiment a numerical example by using this method and enumerate by existing two methods. Moreover we assimilate the optimal solutions among this new method and two existing methods. The new proposed method is a systematic process, easy to apply for solving assignment problem. Result: The optimum solution of proposed method is same as the optimum solutions of existing method which is 41. Conclusion: New proposed method is different from two existing methods and is also effective for solving assignment problem.

Keywords: Assignment problem, Hungarian assignment method (HA-method), Matrix one's assignment method (MOA-method), Proposed method, Optimization

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Abstract: In this study we develop a mathematical model which describes the dynamics of prey- predator interaction with scavenger. We develop the model based on Holling type II functional response. We solved the equilibrium points and their existence. The positivity and of the solution of the model are also determined. Conditions for local and global stability analysis are studied both analytically and numerically. The study also addresses the effect of extinction of a population and mechanism that three species coexist. As a result the mechanism that three species become coexist if there is large number of prey population compute with small number of predator and average number of scavenger population. The scavenger species also has a great role in stabilizing as well as for coexistence of three species. Numerical simulations are carried out to illustrate the analytical findings. Finally the biological implication of analytical and numerical are discussed critically

Keywords: Prey-Predator, Scavenger, Lyapunov function, Local stability, Global stability

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Abstract: The aim of this paper is to give and discuss stronger form of nano continuity called nano contra continuity using nano g.....

Keywords: Nano topology , Nano g**......

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[6]. M. Lellis Thivagar and V. Sutha Devi, "Computing Technique for Recruitment process via Nano Topology", Sohag J. Math 3(2016) Nol, 39 - 45..

Abstract: The Adomian decomposition method (ADM) is one of the powerful methods used to solve nonlinear differential equations which includes application to MHD boundary layer flow over a flat plate. In this study, we have shown the ability of the method to solve the governing equations of the MHD boundary layer flow problem. The effects of physical parameters such as magnetic field and Prandtl number embedded in the flow are presented and discussed. The results obtained are compared with existing work.

Keywords: Adomian decomposition method (ADM), magnetohydrodynamics, boundary layer

[1]. Ali, A. H. & Al-Saif, A. S. J. (2008)"Adomian Decomposition Method for Solving Models of Nonlinear Ordinary Differential Equations" Barash Journal of Science (A), 26 (1):1-11
[2]. Agom, E. U. &Badmus, A. M. (2015). "Application of Adomian Decomposition Method in Solving Second Order Nonlinear Ordinary Differential Equations" International Journal of Engineering Science Invention, 4 (11):60-65
[3]. Alhaddad, S. M. (2017). "Adomian Decomposition Method for Solving the Nonlinear Heat Equation" Int. Journal of Engineering Research and Application, 7 (7):97-100
[4]. Bhattacharyya, K. &Layek, G. C. (2012). "Similarity Solution of MHD Boundary Layer Flow with Diffusion and Chemical Reaction over a Porous Flat Plate with Suction/Blowing"Meccanica, 47:1043-1048
[5]. Chaudhary, S. & Kumar, P. (2015). "Unsteady MHD Boundary Layer Flow Near the Stagnation Point Towards a Shrinking Surface" Journal of Applied Mathematics and Physics, (3): 921-930.