iosr-Jm   Volume-18 ~ Issue-2 ~ Mar. – Apr. 2022

Abstract: A numerical simulation is performed to look into Newtonian physiological flows pattern on three dimensional idealized double abdominal aortic aneurysms (DAAA). The wall vessel is fixed as rigid during
calculation.Physiological and parabolic velocity profiles are set out to fix the conditions of inlet boundaries of artery. On the other way, physiological waveform is an significant part of compilation and it is successfully done by the act of utilizing of Fourier series having sixteen harmonics. The inquiry has a Reynolds number range of 77 to 894. Low Reynolds number
k   model has been used as governing equation. The investigation has been carried out to characterize two Non Newtonian........

Key words: Atherosclerosis, Carreau model, Cross model, Physiological flow, Aneurysm, Viscoelastic fluid.

[1]. Fukushima, T., Matsusawa, T., and Homma, T., 1989, ''Visualization and Finite Element Analysis of Pulsatile Flow in Models of the Abdominal Aortic Aneurysm,'' Biorheology, 26, pp. 109–130.
[2]. Taylor, T., and Yamaguchi, T., 1994, ''Three-Dimensional Simulation of Blood Flow in an Abdominal Aortic Aneurysm—Steady and Unsteady Flow Cases,''ASME J. Biomech. Eng., 116, pp. 89–97.
[3]. Wille, S., 1981, ''Pulsatile Pressure and Flow in an Arterial Aneurysm Simulated in a Mathematical Model,'' J.Biomed. Eng., 3, pp. 153–158.
[4]. Perktold, K., Gruber, K., Kenner, T., and Florian, H., 1984, ''Calculation of Pulsatile Flow and Particle Pathsinan Aneurysm- Model,'' Basic Res. Cardiol.,79, pp. 253–261.
[5]. Elger, D., Slippy, J., Budwig, R., Khraishi, T., and Johansen K., 1995, ''A Numerical Study of the Hemodynamics in a Model Abdominal Aortic Aneurysm AAA!,'' Proc. ASME Symposium on Biomedical Fluids Engineering, R. A. Gerbsch and K. Ohba, eds., ASME FED-Vol. 212, pp. 15–22.

Abstract: The study investigates the impact of population dynamics on health in Nigeria. The study employed the use time series secondary data from 1980 to 2018. The Augmented Dickey Fuller test for unit roots indicates that log life expectancy at birth (LOGLEXB), log population LOGPOP), gross saving rate (GSR) and birth rate (BR) stationary at levels, while percentage access to basic sanitation and total labour force participation rate (TLFPR) stabilized at second difference. The study therefore used ordinary least square method for the model estimation. The results of the findings are as follows: there exists a positive and significant relationship between percentage access to basic sanitation and life expectancy within the period of study; there exists a positive and significant relationship between gross saving rate........

Keywords: Birth rate, Gross saving rate, Population growth, Life expectancy at birth, Total labour force participation rate

[1]. Acemoglu D. and Johnson S. (2006). Disease and development: The effect of life expectancy on economic growth. National Bureau of Economic Research, Cambridge, Working Paper 12269: 1-88.
[2]. Akram N., Padda, I. and Khan M.(2008). The long term impact of health on economic growth in Pakistan.The Pakistan Development Review, 47(4): 487-500.
[3]. Alemu A. M. (2017). To what extent does access to improved sanitation explain the observed differences in infant mortality in Africa?African Journal of Primary Health Care andFamily Medicine, 9(1),e1–e9. https://doi.org/10.4102/phcfm.v9i1.1370
[4]. Bloom, D. E., Canning, D., and Graham, B. (2003).longevity and life-cycle savings. The Scandinavian Journal of Economics, 105(3), 319–338. http://www.jstor.org/stable/3440944
[5]. Cai, L. and Kalb, G. (2007). Health status and labour force status of older working-age Australian Journal of Labour Economics, 10(4): 227 – 252

Abstract: In this paper, support highly irregular interval-valued fuzzy graphs and support totally highly irregular interval-valued fuzzy graphs are defined. A necessary and sufficient condition under which they are equivalent is provided.

Keywords: support(2-degree) of a vertex in fuzzy graph, support neighbourly irregular fuzzy graph, support neighbourly totally regular fuzzy graph, support highly irregular fuzzy graph, support highly totally irregular fuzzy graph.

[1]. Akram, M. and W.A.Dudek Interval-valued fuzzy graphs, Computers Math Appl.,61(2011) 289-299.
[2]. A.Yu, M.Lu and F.Tian, On the spectral radius of graphs, Linear Algebra and Its Applications, 387 (2004) 41-49.
[3]. Dasong Cao, Bounds on eigen values and chromatic numbers, Linear algebra and its applications,270 ,1-13(1998).
[4]. J.Krishnaveni and N.R.Santhi Maheswari, Support neighbourly Irregular fuzzy Graphs,International Journal of advanced Research in Engineering and technology, Vol.11, Issue 1,January 2020,pp 147-154.
[5]. A.Nagoor Gani and K.Radha, On regular fuzzy graphs, Journal of Physical Sciences, 12 (2008) 33-40

Abstract:Background: The continuum hypothesis was originally proposed by Georg Cantor. The continuum hypothesis has remained a prominent conjecture, mainly because the mathematical tools of truth and provability have been developed much later. The continuum hypothesis has been shown to be independent of the axiom of choice. Materials and Methods: Besides proof and truth, the objects to which the mathematical statements apply need to be well-formulated. Inductive or recursive constructibility of the mathematical objects is a well-acknowledged prerequisite, for a mathematical theory to be consistent and verifiable. By recursion, only well-founded recursion is intended to be of opportuneness, in the construction of proofs and the mathematical objects to which the theorems refer......

Keywords: Set Theory; Mathematical Induction; Well-founded Recursion;

[1]. Willem Conradie and Valentin Goranko. Logic and Discrete Mathematics : A Concise Introduction. John Wiley & Sons Ltd. 2015
[2]. Daniel W. Cunningham. Set Theory : A First Course. Cambridge University Press. New York, 2016
[3]. Keith Devlin. Sets, Functions, and Logic : An Introduction to Abstract Mathematics. Chapman & Hall / CRC Press Company. 2005
[4]. Robert R. Stoll. Set Theory and Logic. Dover Publications Inc. New York, 1979, Corrected Republication of the Work Originally Published by W. H. Freeman and Company in 1963
[5]. George Tourlakis. Logic and Set Theory. Volume 1 : Mathematical Logic. Cambridge University Press. New York, 2003
[6]. George Tourlakis. Logic and Set Theory. Volume 2 : Set Theory. Cambridge University Press. New York, 2003

Abstract: This paper analyzes the unsteady mixed convective MHD flow of a viscous incompressible electrically conducting fluid past an accelerated infinite vertical porous flat plate with suction in presence of radiation. The governing equations are solved both analytically and numerically using finite difference scheme. The flow phenomenon has been characterized with the help of flow parameters such as magnetic parameter (M), suction parameter (a), Grashof number for heat and mass transfer (Gr, Gc), Schmidt number (Sc), radiation parameter (R) and Prandtl number (Pr). The effects of these parameters on the fluid velocity, temperature, concentration distribution, skin friction and heat flux have been analyzed and the results are presented graphically and discussed quantitatively. This type of problem is significantly relevant to geophysical, astrophysical and cosmical studies.

Keywords: MHD flow, mixed convection, mass transfer, accelerated plate,chemical reaction, thermal radiation

[1]. Abd El-Naby M.A., Elsayed, Elbarbary, M.E. and Nader, Y. A., (2004), Finite difference solution of radiation effects on MHD free
convection flow over a vertical porous plate , Appl.Math.Comp.,Vol.151, pp.327-346.
[2]. Alam, M. M. and Sattar, M. A., (1999), Transient MHD heat and mass transfer flow with thermal diffusion in a rotating system, J.
Energy, Heat and Mass Transfer, Vol.21, pp.9-21.
[3]. Bakier, A.Y. and Gorla, R.S.R. (1996), Thermal radiation effects on mixed convection from horizontal surfaces in porous media,
Transport in porous media, Vol. 23, pp.357-362.
[4]. Brewster M.Q. (1992), Thermal radiative transfer and properties, John Wiley & Sons, New York.
[5]. Brinkman, H. C., (1947), A calculation of viscous force extended by flowing fluid in a dense swarm of particles, Appl. Sci. Res.,
Vol.A (1), pp.27-34.

Abstract: This paper is about the study of heat flux/thermal flux and temperature distribution in solid medium. The work was carried out by transforming the second order heat equation into fractional differential equation and solved by using the integral transform and their fractional derivatives. The results are conveyed in term of wright function....

Key Words: Mittage Leffler function, Wright function, Error function, Fourier sine transform, Laplace transform, Heat flux

[1]. Zhang F, Chen G, Li C, Kurths J. 2013 Chaos synchronization in fractional differential systems. Phil. Trans. R. Soc. A 371, 20120155.
[2]. Baleanu D, Rezapour S, Mohammadi H. 2013 Some existence results on nonlinear fractional differential equations. Phil. Trans. R. Soc. A 371, 20120144.
[3]. Li C, Zhang F, Kurths J, Zeng F. 2013 Equivalent system for a multiple-rational-order fractional differential system. Phil. Trans. R. Soc. A 371, 20120156.
[4]. Klimek M. 2013 On reflection symmetry and its application to the Euler–Lagrange equations in fractional mechanics. Phil. Trans. R. Soc. A 371, 20120145.
[5]. Chen D, Sheng H, Chen YQ, Xue D. 2013 Fractional-order variational optical flow model for motion estimation. Phil. Trans. R. Soc. A 371, 20120148.

Abstract: Let the graph....

Keywords: Dominating sets, Domination polynomials, Corona graph, Ordinary generating function Mathematics subject classification: 05C30, 05C31, 05C69

[1]. Alikhani S. and Y. H. Peng, Introduction to domination polynomial of a graph, Ars Combin, 114 pp., (2014, )257–266.
[2]. Alikhani and Y. H. Peng, Dominating sets and domination polynomials of paths, Int. J. Math. Sci. 10, (2009),1–10.
[3]. Akbari, S. Alikhani and Y. H. Peng, Characterization of graphs using domination polynomials, European J. Combin 31, (2010),1714–1724.
[4]. . L. Arocha and Bernardo Llano, Mean value for the matching and dominating polynomial, Discussiones Mathematicae Graph Theory, 20(1), (2000), 57–70
[5]. Nayaka S.R., Puttaswamy and Purushothama, Pendant domination polynomials of graphs, International journal of pure and applied mathematics, 117, (2017),193–199

Abstract: This paper analyses method for handling missing data in research. All researchers have faced the problem of missing quantitative data at some point in their work. Research informants may decline or forget to answer a survey question, as such files are lost, or data are not recorded properly. Given the expenditure of collecting data, we cannot afford to start over or wait until we have developed perfect methods of assembling information. We find ourselves left with the decision of how to analyze data when we do not have complete information from all informants. Researchers either intentionally or by default in a statistical analysis drop informants who do not complete data........

Keywords: Exclusion, Simple Imputation, Model-Based imputation, Quantitative data, complete case analysis

[1]. Spineli, L.M., Kalyvas, C. Comparison of exclusion, imputation and modelling of missing binary outcome data in frequentist network meta-analysis. BMC Med Res Methodol 20, December 10, 2021 <https://doi.org/10.1186/s12874-020-00929-9>
[2]. Xu, X., Xia, L., Zhang, Q. et al. The ability of different imputation methods for missing values in mental measurement questionnaires. December 13, 2021< https://doi.org/10.1186/s12874-020-00932-0>3.
[3]. Alladoumbaye Ngueilbaye, Hongzhi Wang, Daouda Ahmat Mahamat, Sahalu B. Junaidu,
[4]. Modulo 9 model-based learning for missing data imputation, December 15, 2021 https://doi.org/10.1016/j.asoc.2021.107167
[5]. Weisstein, Eric W. Frobenius Norm. December27,2021 <,https://mathw,orld.wolfram.com/FrobeniusNorm.html >