1Department of Mathematical Sciences, Ondo State University of Science and Technology,Okitipupa,Nigeria
2Department of Mathematics, Imo State University, Owerri, Nigeria
3Department of Basic Sciences, Alvan Ikoku Federal College of Education, Owerri
Page Number: 13-23
The computational analysis of reactive MHD third grade fluid in an electrically conductive cylindrical
channel with axial Magnetic field is carried out in this study. The weighted residual collocation method is
used as a computational method of solution and a parametric study of the influence of various thermos-
physical parameter is conducted and it was observed that critical values of the Frank–Kamenetskii and the
third grade parameter exist for which the solution seizes to be unique. Keywords: Collocation, weighted residual, reactive, MHD, third grade.
1Department of Mathematics, University of Ilorin, Nigeria
2Department of Mathematics, Federal University of Technology Owerri, Nigeria
3Department of Mathematics, University of Ilorin, Nigeria.
In this work, two new subclasses of bi-univalent functions M Σn (α, λ) and M Σn (λ, β) using the
Salagean differential operator are discussed. The coefficients estimates for |a 2 | and |a 3 | and the
upper bounds for the Fekete-Szego functionals for functions belonging to the classes are obtained.
Results obtained generalized some known results.
Mathematical Subject Classification (2010): 30C45.
Keywords: Analytic and Univalent functions, Bi-univalent functions, λ-convex functions, Coefficients
bounds, Fekete-Szego functional estimate.
1Founder and CEO, LEARNIKX EDUCATION,Sydney, Australia 2Graduate Teaching Assistant Department of Mechanical Engineering
Colorado State University, Fort Collins, Colorado, USA 3Department of Mechanical Engineering
Institute of Engineering & Management
Salt Lake Electronics Complex, Kolkata-700091. India
Page Number: 40-49
This theoretical investigation focusses on blood flow through a multiple stenosed human artery under
porous effects. A mathematical model is developed for estimating the effect of porous parameter on blood
flow taking Harschel-Bulkley fluid model (to account for the presence of erythrocytes in plasma) and artery
as circular tube with an axially non-symmetric but radially symmetric mild stenosis. The mathematical
expression for the geometry of the artery with stenoses is given by the polynomial function model. The
velocity slip condition is also given due weightage in the investigation. It is necessary to study the blood
flow through such type of stenosis to improve the arterial system. An extensive quantitative analysis is
carried out by performing large scale numerical computations of the measurable flow variables having more
physiological significance. The variations of velocity profile, volumetric flow rate and pressure gradient
with porous parameter are calculated numerically by developing computer codes. Their graphical
representations with appropriate scientific discussions are presented at the end of the paper.
Keywords: stenoses, stenotic geometry, stenotic height, H-B fluid model, Darcy’s number, fluid index
parameter, slip velocity, flow flux
Department of Electronics and Communication Engineering,
Institute of Engineering & Management, India
Page Number: 50-54
Artificial Neural Networking or ANN is the way by which computers can mimic the biological nervous
system by building a huge number of simulated neurons, which are joined together in a number of ways to
form networks. A neural network has multiple processors instead of just one central processor and thus is
very task efficient. They cannot be made to perform a specific task because they learn via experience, which
is unlike any other computer processor. They follow certain learning laws while receiving feedback from
the environment. This paper gives an overview of Artificial Neural Network, its working and training. Keywords: Artificial Neural Network (ANN), Neurons
1Department of Electronics and Communication Engineering, Institute of Engineering & Management,
2Department of Electrical Engineering, Institute of Engineering & Management, Kolkata, India.
Page Number: 55-59
Brain Computer Interface (BCI) is a platform which receives brain signals, measures and analyses them,
providing a pathway for the human brain to interact with external utilities in real-time. It is entirely
independent of the normal output of peripheral nerves and muscles. On the other hand, with the exposure
of Internet of Things, the concept of connectivity of devices has evolved. The number of connected devices
is expected to grow phenomenally across multiple industries, thereby boosting productivity and efficiency
in coming years. This paper elaborates the procedure of developing a system merging Brain Computer
interface and internet of things, the possible applications of human-thing cognitive interactivity and the
challenges we face while working with it.
Keywords: :Brain-Computer Interface, Internet of Things, cognitive, interactivity.
Department of Basic Science and Humanities, Institute of Engineering & Management, D1 Management
House, Salt Lake, Sector V, Kolkata-700091, West Bengal, India
Page Number: 60-63
An attempt is made to show how an important mathematical constant (namely ), in use for ages, is
evaluated computers are used, no doubt, but what is the philosophy behind the program created to carry out
the evaluation (to any specified degree of accuracy). The discussion focuses on what exactly is (or are) the
cornerstone(s) of such programs.
Keywords: Pi, Gregory’s Series, Maclaurin’s series, Accuracy
1Electronics and Communication Engineering, Institute of Engineering & Management, India
2Information Technology, Institute of Engineering & Management, India
3Electronics and Communication Engineering, Institute of Engineering & Management, India
Page Number: 64-69
In this paper, we propose to design a framework to analyze what should be the playing eleven of a particular
squad. The framework designed uses data mining to find out the player statistics and hence helps to choose
the best possible playing eleven on the basis of the pitch. This is done by creating a rank system on the
basis of strike rate, economy rate, average runs, wickets taken of each player. Then we analyze their
performance with the help of the designed framework and find out the best playing eleven. Henceforth, the
paper provides a method to find out the best possible team when pitch conditions are provided by the user. Keywords: Cricket analytics; Indian Premier League; Performance quantification
Department of Electronics and Communication Engineering
Institute of Engineering & Management, Kolkata, West Bengal, India.
Page Number: 70-74
Probability on itself is a hypothesis. It is defined as the chance of occurrence of an event out of the possible
number of outcomes in a sample space. But things can slightly change if we take into account the concept
of multiverse, as the existence of multiverse itself is probabilistic and the occurrence of an event and its
outcomes can’t be known and judged practically. Statistics is the most beloved child of mathematics, which
has a lot of question everyday on various data. But here, it too may suffer difficulties as you don’t even
know specifically all the data. Keywords: probability, conditional probability, multiverse, complex numbers, hypothesis
Department of Electronics and Communication Engineering ,
Institute of Engineering & Management, Kolkata, West Bengal, India.
Page Number: 75-78
A formula expressing n C r in summation form is formulated by the use of algorithmic counting techniques.
Initially, a general counting problem is mathematically modeled and its solution is given by a formula
derived using algorithmic counting. Thus, by generalization a formula for nCr as a series is obtained. Keywords: n C r, summation, algorithm, counting, mathematical modeling, generalization, series.
Pal1, M. Debbarma2 ,N. Debbarma3 ,Paulami Basu Mallik4 , K. P. Ghatak 5
1Department of Physics, Meghnad Saha Institute of Technology, Nazirabad,
P.O. Uchepota, Anandapur, Kolkata-700150, India
2 Department of Physics, Women’s College, Agartala, Tripura- 799001, India
3Department of Computer Science and Engineering,National Institute of Technology, Agartala,
4Chartered Engineer, Department of Electronics & Communication Engineering, The Institution
of Engineers (India), 8, Gokhale Road, Kolakta-700020. India
5 Department of Computer Science and Engineering, University of Engineering and
Management and Institute of Engineering and Management, Kolkata and Jaipur, India
Page Number: 79-118
In this paper we study the Einstein relation for the diffusivity mobility ratio (DMR) under magnetic
quantization in III-V, II-VI, IV-VI and HgTe/CdTe SLs with graded interfaces by formulating the
appropriate electron statistics. We have also investigated the DMR in III-V, II-VI, IV-VI and HgTe/CdTe
effective mass SLs in the presence of quantizing magnetic field respectively. The DMRs in quantum wire
GaAs/Ga 1-x Al x As, CdS/CdTe, PbTe/PbSnTe and HgTe/CdTe SLs and the corresponding effective mass
SLs have further been studied. It appears that the DMR oscillates both with inverse quantizing magnetic
field and electron concentration for GaAs/Ga 1-x Al x As, CdS/CdTe, PbTe/PbSnTe and HgTe/CdTe
superlattices with graded interfaces. The DMR decreases with increasing film thickness and decreasing
electron concentration for the said superlattices under 2D quantization of wave vector space. Keywords: Einstein Relation, Semiconductor Superlattices, Magnetic Quantization, Quantum Wire
Journal of Mathematical Sciences & Computational Mathematics (JMSCM)
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