Emerging Advancements in Mathematical Sciences

218 Pages·2022·18.274 MB·English

by  Bhagwati Prasad Chamola, Pato Kumari, Lakhveer Kaur

Mathematics Research Developments

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Bhagwati Prasad Chamola,
Pato Kumari and Lakhveer Kaur
Editors

Emerging Advancements
in Mathematical Sciences
Copyright © 2022 by Nova Science Publishers, Inc.
DOI: https://doi.org/10.52305/RRIS1719

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Published by Nova Science Publishers, Inc. † New York
Contents

Preface .......................................................................................... vii
Acknowledgments ....................................................................................... ix
Chapter 1 Self-Dual and Modified Codes over
q Group Ring ....................................................................1
8
Shefali Gupta and Dinesh Udar
Chapter 2 SH Wave Propagation in Initially Stressed
Viscoelastic Orthotropic Medium over
Orthotropic Half-Space ...................................................23
Pato Kumari and Rupali Srivastava
Chapter 3 Role of Delay on Two Competing Plant
Populations under the Allelopathic Effect .....................39
Pankaj Kumar and Dipesh
Chapter 4 On Ch-Recurrent Finsler Spaces
with a Semi-Concurrent Vector Field ............................59
S. K. Shukla and Shivalika Saxena
Chapter 5 Numerical Solution of Boundary Layer Flow
Past a Stretching Sheet with Zero Flux
Saturated by a Nanofluid ................................................71
Mahendra Pratap Pal and Lokendra Kumar
Chapter 6 The Stability Analysis of the Effect
of Coriolis Force in Micropolar Fluids ..........................85
Riya Baby
Chapter 7 On the Nourishing Number of
Certain Graph Powers .................................................. 111
U. M. Prajapati and K. I. Vyas
vi Contents
Chapter 8 Wind Speed Forecasting Using Time
Series Methods: A Case Study ...................................... 125
Sarita Sheoran, Ritik Bavdekar,
Sumanta Pasar and Rakhee Kulshrestha
Chapter 9 Fuzzy Topology Induced by
Binary Fuzzy Relation ................................................... 135
Priti and Alka Tripathi
Chapter 10 N-Policy for Finite Queueing Models with
Unreliable Server and Working Vacation ................... 155
Aditya Pratap Singh and Amita Bhagat
Chapter 11 On Weakly 𝒈(𝒙)-Invo Clean Rings .............................. 171
Kanchan Jangra and Dinesh Udar
Chapter 12 Variational Iteration Method for Solving
Differential Equations in Various Science
and Engineering Applications: A Review .................... 183
Ajay Kumar Agrawal and Yogesh Gupta
About the Editors ...................................................................................... 201
Index ......................................................................................... 203
Preface

This book includes the proceedings of the accepted papers submitted to the 5th
International Conference on “Recent Advances in Mathematical Sciences and
its Applications (RAMSA-2021)” organized by the Department of
Mathematics, Jaypee Institute of Information Technology, Noida (UP) during
December 2-4, 2021 in online mode. The main objectives of it were to bring
together learned mathematicians, scientists, engineers, and researchers from
academia and industries to a common platform for the exchange of ideas
regarding research findings and new advances in the diverse areas of
mathematics, sciences and engineering and the solutions adopted thereto. We
hope that the contents of the book “Emerging Advancements in Mathematical
Sciences” will be able to enthuse the interest of researchers in the areas
involving vibrant implicational aspects of mathematics in relation to
engineering and sciences. The key topics included in it pertain to fuzzy
mathematics and logic, information and coding theory, decision making,
optimization and its applications, wave propagation and applications,
computational fluid dynamics, fuzzy topology, etc. The book can also be of
interest to research scholars, academicians and scientists who want to enhance
their knowledge in the context of new insight and mathematical ideas in the
aforementioned areas.
The book “Emerging Advancements in Mathematical Sciences” is
devoted to the recent developments in the different directions having use of
mathematical concepts. The articles included in this book are selected after a
rigorous peer review process by the committee of experts in the related areas
keeping in mind the novelty and usefulness of the contents. Undoubtedly, the
sole responsibility of the originality of the work included in this book will be
that of the contributing authors of the chapters.
This book includes twelve chapters. In Chapter 1, self-dual, singly even
and double-even extremal binary linear block code is constructed using the
unitary units of quaternion group. To improve the rates and error handling
capabilities, the modification techniques are applied on self-dual codes.
viii Bhagwati Prasad Chamola, Pato Kumari and Lakhveer Kaur
Chapter 2 investigates the SH waves propagation in an initially stressed
viscoelastic orthotropic layer over an orthotropic elastic half-space and the
effect of the coefficient of attenuation and the initial stress parameter on phase
velocity of SH waves travelling in layered orthotropic medium is studied in it.
Chapter 3 deals with mathematical modelling related to a system of non-linear
delay differential equations incorporating the fact that impact of one or more
toxicants on the ecosystem is beneficial for the development and wellbeing of
a single or interactive biological organism. Chapter 4 presents the differential
geometry of 𝐶ℎ-recurrent Finsler spaces and discusses a semi-concurrent
vector field in such spaces and other interesting results appear subsequently.
The numerical solution of boundary layer flow a past stretching sheet with
zero flux by using shooting method is studied in Chapter 5. The convection
initiation in a linear stability problem involving a micropolar fluid and Coriolis
force is studied and the eigenvalue problem for the condition of various
boundary combinations is solved with the help of the Boussinesq assumption,
linear stability concepts, and normal mode techniques in Chapter 6. In Chapter
7, nourishing number is determined for powers of various graphs. A case study
of wind speed forecasting using time series method is studied in Chapter 8.
Chapter 9 focusses on the study of fuzzy topology induced by binary fuzzy
relation and explores some important topological properties. In Chapter 10,
the Markovian queueing systems are explored when a server is unreliable and
works under N- policy. The study is concerned with servers rendering the
services at a lower rate instead of completely terminating the service when the
server is on vacation period. The behaviour of the system indices is depicted
by performance indices and numerical experiments. Chapter 11 presents a new
class of rings called weakly 𝑔(𝑥)-invo clean ring and concerning results. The
authors examine several recent developments and uses of variational iteration
method (VIM) encountered in the past studies in Chapter 12.
Although we have put our best efforts to ensure the accuracy of the book’s
contents, we cannot claim that the book is free from errors. We apologise to
readers for this.