Journal of Mathematical Sciences & Computational Mathematics (JMSCM)
(ISSN Number (Online) - 2644-3368)
(ISSN Number (Print) - 2688-8300)

Volume1 Issue1:


Okedayo G.T1,Obi B.I.2,Olawuyi O.M.3,

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.



E.P.Mazi1,E.C. Godwin2 and T.O. Opoola3

1Department of Mathematics, University of Ilorin, Nigeria
2Department of Mathematics, Federal University of Technology Owerri, Nigeria
3Department of Mathematics, University of Ilorin, Nigeria.
Page Number:24-39

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.



Sibashis Nanda1*, Sayudh Ghosh2, Ronit Chaudhury3

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



Mohammad Ehteshamullah

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


Union of Brain Computer Interface and Internet of Things: An Integrated Platform to Enhance Cognitive Interaction in Real-time

Aritra Mukherji 1, Nirmalya Ganguli2

1Department of Electronics and Communication Engineering, Institute of Engineering & Management, Kolkata, India.
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.



A. K. Chatterjee

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


A novel approach for selecting the potentially best performing team in IPL

Sannoy Mitra, 1 Tiyash Patra 2,Raima Ghosh3

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



Supratik De

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



Soumendra Nath Banerjee

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.


Field Aided Semiconductor Superlattices, the Einstein Relation and All That

J. 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, Tripura-799055, India
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 Superlattices