Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Department of Mathematics

This paper is intended to introduce the standard three-step iteration algorithm to approximate endpoints of nonexpansive multi-valued mapping in the Banach spaces framework. Some weak and strong results under appropriate conditions for the iterative sequence generated by the proposed process convergence outcomes are discussed. In general, the results improve and unify some of Panyanak’s recent analysis (J. Fixed Point Theory Appl. (2018)). © 2021. NSP Natural Sciences Publishing Cor. All Rights Reserved.

World University root node

School of Advanced Sciences

Vellore Campus

Applied Mathematics and Information Sciences

Endpoint Approximation of Standard Three-Step Multi-Valued Iteration Algorithm for Nonexpansive Mappings

The main intention of this article is to explore the significance of electronmagnetohydrodynamic (EMHD) dusty nanofluid on the stagnation point flow in the presence of radiation and Ohmic heating. Water is considered as base fluid with single-wall carbon nanotubes along with suspended dust particles. The numerical solutions for both dusty phase and fluid phase differential systems are obtained by using Runge Kutta 4th order with shooting method. Influence of embedded parameters such as Biot number, electric field, viscous dissipation, magnetic field, thermal radiation, Joule heating and stagnation point flow are presented graphically. Dust particles play a significant role in food pharmaceutical industries particularly for efficient cultivation of microorganisms and also these type of studies may be applicable in atmospheric fields, wastewater treatment, metal objects covered with plastic materials and solids drying. The higher values of electric field parameter (E) increases the fluid phase velocity and dusty phase velocity. An increase in the thermal radiation parameter releases thermal energy into the flow, so this energy helps to increase the fluid phase temperature and dusty phase temperature. The fluid phase temperature and dusty phase temperature declines with increasing the electric field parameter for dusty fluid and dusty nanofluid cases. © IMechE 2021.

Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering

Comparative study on electromagnetohydrodynamic single-wall carbon nanotube–water dusty nanofluid in the presence of radiation and Ohmic heating

This article mainly emphases on the study of magneto Cu-Al2O3/water hybrid nanofluid flow in a non-Darcy porous square cavity. The square geometry is a lid-driven enclosure with an inside heated square obstacle. Cattaneo-Christov heat flux pattern is used for the formulation of the heat equation. This type of problems may be applicable in the high temperatures in the different scientific processes, extrusion of polymers, aerodynamics extrusion and cooling hot glass. Dimensionless forms of governing flow expressions are computed numerically with Finite Volume Method via SIMPLER algorithm simultaneously. The characteristics of numerous dimensionless parameters such as; Richardson number 0.1⩽Ri⩽100, Hartmann number 0⩽Ha⩽100, height of hot square obstacle 0.1⩽H⩽0.5, width of hot square obstacle 0.1⩽W⩽0.5, Reynolds number 0.1⩽Re⩽25 and Darcy number 10-2⩽Da⩽10-6 are analyzed. The achieved results are projected graphically via streamlines, isotherms, local and average Nusselt numbers. The fluid flow and rate of heat transfer in the direction of the moving heated obstacle isfound to play an important role. The higher values of Ha decreases the local Nusselt number. Hybrid nanofluid provides a higher heat transfer rate than the nanofluids. Increasing the width of the obstacle cause to decline in the thickness of the right wall, this enhances the heat transfer in the clockwise direction. © 2020 Faculty of Engineering, Alexandria University

Fulltext

Alexandria Engineering Journal

Impact of heated obstacle position on magneto-hybrid nanofluid flow in a lid-driven porous cavity with Cattaneo-Christov heat flux pattern

In this work the perception of vector space is initiated over Pre A*-algebras. This article discusses the basic properties of Pre A*-vector spaces, the notion of norm and their worth while representations. © 2020 the author(s).

Mathematics

Chennai Campus

Journal of Mathematical and Computational Science

Analysis on properties of vector spaces over pre A*-algebras

Remote sensor systems experience basic investigation of network security because of inexplicable operational imperatives. The challenge flinches with the fragment of worms in the remote system. A solitary contaminated hub is adequate to spread the worms over the entire system. The tainted hub hastily contaminates the contiguous hubs in a relentless way. In this paper, a scientific model depending on pandemic hypothesis is proposed which is an enhancement of the SIRS, SEIS, SEIRS models. SEIQRV (susceptible-exposed-infectious-quaraintain-recovered-vaccinated) model enriched with the additive white noise conquers the hindrances of existing models. Using Routh-Hurwitz criteria, reproduction number, existence of steady states, and stability about endemic steady state are analyzed. The proposed system’s stability is substantiated varying for different values of communication radii and node densities. The additional constituent to the proposed model is the stochastic fluctuation implemented and the examination of the stochastic variations. This model incorporates a limited correspondence span and the related hub thickness. The assessment of the proposed model with other existing models are presented and analyzed based on different executions. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature.

Wireless Personal Communications

Effect of Noise on Pandemic Structure for Proliferation of Malevolent Nodes in Remote Sensor Network

Peristaltic transport of Newtonian nanofluid in an inclined annulus terms of radii regarding peristalsis and elasticity. It is noticed that with an increase in amplitude ratio, flux is getting enhanced in the absence of nanoparticles when compared with viscous fluid with nanoparticles. Our results reduce to the corresponding ones of Rubinow and Keller as a special case for the viscous flow in an elastic tube. The effect of various emerging parameters bounded by two concentric cylinders is studied under the assumption of long wavelength and dominance of viscous effects over inertial effects. The outer cylinder is elastic in nature and has a sinusoidal wave traveling down in its wall, whereas the inner cylinder is rigid. Analytical solutions have been established for velocity, flux, pressure rise, temperature distribution, and nanoparticle concentration. The flux, pressure rise, and frictional forces have been obtained in on the flow characteristic are presented and discussed. Obtained results may be useful in understanding the behavior of peristaltic transport of blood flow in small blood vessels and blood flow through elastic arteries. © 2020 Wiley Periodicals LLC

Heat Transfer

Influence of elasticity in an inclined annulus of nanofluid with peristaltic transport

An unprecedented upsurge of COVID-19-positive cases and deaths is currently being witnessed across India. According to WHO, India reported an average of 3.9 lakhs of new cases during the first week of May 2021 which equals 47% of new cases reported globally and 276 daily cases per million population. In this letter, the concept of SIR and fractal interpolation models is applied to predict the number of positive cases in India by approximating the epidemic curve, where the epidemic curve denotes the two-dimensional graphical representation of COVID-19-positive cases in which the abscissa denotes the time, while the ordinate provides the number of positive cases. In order to estimate the epidemic curve, the fractal interpolation method is implemented on the prescribed data set. In particular, the vertical scaling factors of the fractal function are selected from the SIR model. The proposed fractal and SIR model can also be explored for the assessment and modeling of other epidemics to predict the transmission rate. This letter investigates the duration of the second and third waves in India, since the positive cases and death cases of COVID-19 in India have been highly increasing for the past few weeks, and India is in a midst of a catastrophizing second wave. The nation is recording more than 120 million cases of COVID-19, but pandemics are still concentrated in most states. In order to predict the forthcoming trend of the outbreaks, this study implements the SIR and fractal models on daily positive cases of COVID-19 in India and its provinces, namely Delhi, Karnataka, Tamil Nadu, Kerala and Maharashtra. © 2021, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.

European Physical Journal Plus

The second and third waves in India: when will the pandemic be culminated?

The purpose of this paper is to establish the uniqueness and existence of the common fixed point under generalized contractive conditions in b-metric spaces with supportive examples. We also approximate the common fixed point by Jungck-Picard and Picard iteration procedures along with the P property of the mappings. Further, (T,f)-stability of Jungck-Picard iterative and T-stability of Picard iterative schemes are proved. © 2022 World Scientific Publishing Company.

Asian-European Journal of Mathematics

On existence and approximation of common fixed points in b -metric spaces

Best proximity results for cyclic and noncyclic (Formula presented.) -contractive operators in (strictly convex) Banach spaces are obtained via the measure of noncompactness. The work extends some of recent investigations in this direction. The obtained results are applied to investigation of optimum solutions for a system of second order differential equations with two initial conditions followed by an example. © 2021 Taylor & Francis Group, LLC.

Numerical Functional Analysis and Optimization

Best Proximity Point Results via Measure of Noncompactness and Application

In this paper, we present existence, uniqueness and Ulam-Hyers stability results for the n−tupled fixed points of a pair of contractive type singlevalued and respectively multivalued operators on complete metric spaces. The approach is based on Perov type fixed point theorem for contractions in spaces endowed with vector-valued metrics. © Palestine Polytechnic University-PPU 2021.