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Mathematics in Computational Science and Engineering
Edited by
Ramakant Bhardwaj
Jyoti Mishra
Satyendra Narayan
and
Gopalakrishnan Suseendran
This edition first published 2022 by John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, USA and Scrivener Publishing LLC, 100 Cummings Center, Suite 541J, Beverly, MA 01915, USA
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Library of Congress Cataloging-in-Publication Data
ISBN 978-1-119-77715-1
Cover image: Pixabay.com Cover design by Russell Richardson
Set in size of 11pt and Minion Pro by Manila Typesetting Company, Makati, Philippines
Printed in the USA
10 9 8 7 6 5 4 3 2 1
Dedication
Gopalakrishnan Suseendran, Assistant Professor, who is now deceased, as the co-author of this book. He received his PhD in Information Technology-Mathematics from Presidency College, University of Madras, Tamil Nadu, India. He worked as assistant professor in the Department of Information Technology, School of Computing Sciences, Vels Institute of Science, Technology & Advanced Studies (VISTAS). He published more than 75 research papers in various referred journals, authored 11 books and received 6 awards.
Preface
Chapter 1 The main aim of Inventory EOQ model is to reduce the Ordering Cost and Holding Cost in the Company. Based on Numerical Example, three proposed models are applied in EOQ. This leads to Brownian Path, which is based on Hausdroff Measure and Levy processes. Hence it is Fractals.
Chapter 2 This chapter gives a good description of ill-posed inverse problems encountered in the field of electrical geophysics. It begins with an overview of the present state of knowledge about electrical resistivity methods for mapping and monitoring in-situ processes that cannot be accessed directly. Based on reciprocity and perturbation analysis, an attempt has been made to introduce generalized multi-dimensional resistivity inversion methods. It may be found highly useful in environmental geophysics and geoengineering discipline to mapping and monitoring in-situ processes where electrical resistivity contrast is encountered.
Chapter 3 In this chapter, theoretical formulations of shadowed sets approximations (SSA) which hinge on ideas of uncertainty balance, average uncertainty and minimum approximation error are presented. Also, decision-theoretic three-way approximation (DTA) models which