iosr-Jm   Volume-18 ~ Issue-1 ~ Jan. – Feb. 2022

Abstract: We shall be studying theoretically the effects of body acceleration, heat source and slip on a pulsatory blood flow where the blood is assumed to be an unsteady, non-Newtonian blood flow flowing through an artery with stenosis present at the porous artery walls which is permeable with the results from the study discussed. The application of the magnetic field is in the region perpendicular to the inclined artery with a permeable wall and stenosis at the wall with the inclination angle varying where the fluid flowing through the artery is an elastic-viscous and electrically conducting fluid........

Keywords: Magneto-hydrodynamic (MHD), Body acceleration, pulsatile pressure, Slip velocity, Permeability of the porous medium.

[1]. Rabby, M. G., Razzak, A. and Molla, M. M. (2013). Pulsatile non-Newtonian blood flow through a model of arterial stenosis. Procedia Engineering, volume 56, number 5, page 225-231.
[2]. Ellahi, R., Rahman, S. U. and Nadeen, S. (2014). Blood flow of Jeffery fluid in a catherized tapered artery with the suspension of nanoparticles. Physics Letters A, volume 378, number 40, page 2973-2980.
[3]. Pralhad, R. N. and Schultz, D. H. (2004). Modelling of arterial stenosis and its application to blood disease, mathematical Biosciences, volume 190, number 2, page 203 – 220.
[4]. Ellahi, R., Rahman, S. U., Gulzar, M. M., Nadeem, S. and Vafai, K. (2014). A mathematical study of non-Newtonian micro-polar fluid in arterial blood flow through composite stenosis. Applied Mathematics and Information Science, volume 8, number 4, page 1567-1573.
[5]. Haik, Y., Pai, V. and Chen, C. J. [1999]. Development of magnetic device for cell separation. Physics of fluids [1994-present], vol.17, No.7, 077103-077118.

Abstract: For a graph......

Key Word: Jewel graph; Triangular book graph; Even sum labeling; Even sum graph.

[1]. Haray F. Graph theory. Narosa Publishing House, New Delhi. 2001.
[2]. Gallian JA. A dynamic survey of graph labeling. The Electronic Journal of Combinatorics. 2021; 16: # DS6.
[3]. Arockiaraj S, Mahalakshmi P. On odd sum graphs. International Journal of Mathematical Combinatorics. 2013; 4: 58–77.
[4]. Arockiaraj S, Mahalakshmi P, Namasivayam P. Odd sum labeling of some subdivision graphs. Kragujevac Journal of Mathematics. 2014; 38(1): 203–222.
[5]. Gopi R, Irudaya Mary A. Odd sum labeling of some more graphs. International Journal of Engineering Science, Advanced Computing and Bio-Technology. 2016; 7(4): 95–103

Abstract: The problem of hydromagnetic nanofluid flow in the presence of radiation and non-uniform heat generation/absorption past an exponentially stretching sheet is modeled in this study. By using similarity transformation, the equations of the flow are transformed to nonlinear coupled differential equations. The equations are then solved by the method of asymptotic series and the various flow profiles for the parameters governing the flow were obtained using the software "Mathematica Version 10". It is observed that increase in the magnetic field and radiation parameters lead to decrease in the velocity, while increase in the stretching sheet parameter and thermal Grashfof number results in increase in the velocity and decrease temperature and concentration respectively. An increase in thermopheresis, thermal conductivity leads to increase in temperature and concentration distributions in the system.

Key Word: MHD, exponentially stretching sheet, nanofluid, nonuniform heat generation/absorption, radiation.

[1]. Bestman A. R (1990). The boundary-layer flow past a semi-infinite heated porous plate for two-component plasma. Astrophysics and Space Science, 173: 93-100.
[2]. Bunonyo K. W., Amos E., and Eli I. C. (2018). Unsteady oscillatory couette flow between parallel plates with constant radiative flux. Asian Research Journal of Mathematics, 11(2), 1-11
[3]. Choi, S.U.S., Zhang, Z.G., Yu, W., Lockwood, F.E., and Grulke, E.A. (2001). Anomalous Thermal conductivity enhancement in nano-tube suspensions. Applied physics letters, 79, 22522254.
[4]. Choi, S. U. S. and Eastman, J. A. (1995). Enhancing Thermal Conductivity of Fluids with Nano-particles, Argonne National Lab.
[5]. Chamkha, A. J., Raju, M. C., Sudhakar, R. T. and Varma, S. V. K. (2016). Unsteady MHD Free Convection Flow Past as Exponentially Accelerated Vertical Plate with Mass Transfer, Chemical and Thermal radiation. International Journal of Microscale and Nanoscale thermal. 5(1), 57-75.

Abstract: In this paper, we introduce the notion of strong neutrosophic diameter zero for a family of subsets based on the neutrosophic diameter for a subset of . Then, we introduce nested sequence of subsets having strong neutrosophicdiameter zero using their neutrosophicdiameter.

Key Word: Diameter; Metric Space; Strong completeness; Neutrosophic metric space.

[1]. K.T.Atanassov. More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, 33(1), 37- 45. 1989.
[2]. K.T.Atanassov. Intuitionistic Fuzzy sets, Fuzzy sets and system, 20, 87- 96. 1986.
[3]. M.A.Erceg. Metric spaces in fuzzy set theory, Journal of Mathematical Analysis and Applications. 69(1), 205–230. 1979.
[4]. A.George, P.Veeramani. On some results in fuzzy metric spaces, Fuzzy sets and Systems. 1994.
[5]. V.Gregori, S.Romaguera, P.Veeramani, A note on intuitionistic fuzzy metric spaces, Chaos, Solitions and Fractals. 28, 902-905. 2006.

Abstract:In this paper, we apply Adomian Decomposition Method(ADM) for solving coupled nonlinear Klein-Gordon equations (CNLKGE) which arise in particle physics, wave theory and other physical phenomena
of linear and nonlinear nature. The numerical solutions of CNLKGE have been compared to the exact solutions and presented graphically. The numerical results are in good agreement with exact solutions which shows the efficiency and reliability of the proposed algorithm.

Key Word: Adomian Decomposition Method ;Adomian Polynomials; Coupled nonlinear Klein-Gordon Equations; Recursive algorithms.

[1]. Alagesan, T. T., Chung, Y., Nakkeeran, K. (2004). Soliton solutions of coupled nonlinear Klein-Gordon equations, Chaos, Solitons and Fractals Vol. 21, pp. 879-882
[2]. Shang, D. (2010). Exact solutions of coupled nonlinear Klein-Gordon equation, Appl. Math. Comput. Vol. 217, pp. 1577-1583.
[3]. Yusufoglu, E. and Bekir, A. (2008). Exact solutions of coupled Klein-Gordon equations, Math.Comput. Model. Vol. 48, pp. 1694- 1700.
[4]. Wazwaz, A.M.(2009). Partial Differential Equations and Solitary Waves Theory. Higher Education Press, Beijing,.
[5]. G. Adornian(1994): Solving Frontier Problems of Physics: The Decomposition Method. Kluwer Academic Publishers.USA.

Abstract: In this article, we create a various Baire spaces such as -Baire space, g - Space on GITS. Also we discuss their basic properties and study the perspectives of - set and g- setin GITS with crystal clear examples..

Key Word: ....

[1]. G.Helen Rajapushpam, P.Sivagami and G. Hari siva annam, Natures of – strongly nowhere dense sets(communicated)
[2]. G.Helen Rajapushpam, P.Sivagami and G. Hari siva annam, Some new operators on -closed sets in GITS, J.Math.Comput.Sci.11(2021) , No:2,1868-1887,ISSN:1927-5307.
[3]. G.Helen Rajapushpam, P.Sivagami and G. Hari siva annam, -Dense sets and -Baire Spaces in GITS, Asia Mathematica,Vol:5,Issue:1,(2021) Pages:158-167.
[4]. P.Sivagami, G.Helen Rajapushpam, and G. Hari siva annam, Intuitionistic Generalized closed sets in Generalized intuitionistic topological space, Malaya Journal Of Mathematik, vol.8, No3, 1142-1147. E ISSN:2251-5666, P ISSN:2319-3786.
[5]. G.Thangaraj and E.Poongothai, On Fuzzy -Baire Spaces,International Journal of Fuzzy Mathematics and Systems.ISSN:2248-9940, Vol-3, No-4(2013), pp.275-283.