Mathematics in Computational Science and Engineering

Ramakant Bhardwaj, Jyoti Mishra, Satyendra Narayan, Gopalakrishnan Suseendran, Ramakant Bhardwaj, Jyoti Mishra, Satyendra Narayan, Gopalakrishnan Suseendran

• Verlag: Wiley-Scrivener
• Jahr: 2022
• ISBN:
  9781119777533
• Auflage: 1
• Thema: Mathematics
• Thema: Applied Mathematics

MATHEMATICS IN COMPUTATIONAL SCIENCE AND ENGINEERING

This groundbreaking new volume, written by industry experts, is a must-have for engineers, scientists, and students across all engineering disciplines working in mathematics and computational science who want to stay abreast with the most current and provocative new trends in the industry.

Applied science and engineering is the application of fundamental concepts and knowledge to design, build and maintain a product or a process, which provides a solution to a problem and fulfills a need. This book contains advanced topics in computational techniques across all the major engineering disciplines for undergraduate, postgraduate, doctoral and postdoctoral students. This will also be found useful for professionals in an industrial setting. It covers the most recent trends and issues in computational techniques and methodologies for applied sciences and engineering, production planning, and manufacturing systems. More importantly, it explores the application of computational techniques and simulations through mathematics in the field of engineering and the sciences.

Whether for the veteran engineer, scientist, student, or other industry professional, this volume is a must-have for any library. Useful across all engineering disciplines, it is a multifactional tool that can be put to use immediately in practical applications.

This groundbreaking new volume:

• Includes detailed theory with illustrations
• Uses an algorithmic approach for a unique learning experience
• Presents a brief summary consisting of concepts and formulae
• Is pedagogically designed to make learning highly effective and productive
• Is comprised of peer-reviewed articles written by leading scholars, researchers and professors

AUDIENCE:

Engineers, scientists, students, researchers, and other professionals working in the field of computational science and mathematics across multiple disciplines

1
Brownian Motion in EOQ

K. Suganthi and G. Jayalalitha*

Department of Mathematics, VELS Institute of Science Technology & Advanced Studies (VISTAS) - Chennai, Tamil Nadu, India

Abstract

EOQ is a fixed factor proposed to assist organizations to reduce the expense of ordering and holding Inventory. It is an estimation exploit inside the zone of Operations, Logistics, and Supply Management. The main goal of the EOQ is the ideal proportion of a thing to be purchased at one time in order to decrease the consolidated yearly costs of the ordering cycle. Shortages are not permitted and Inventory control plays a vital role in reducing the cost of production rates, additional time, subcontracting, inordinate Inventory costs and delay purchase penalties during peak time.

The exact result is achieved by using sensitive analysis, proposed model and numerical examples which are developed in it. In this paper, three techniques are used to resolve the EOQ in Inventory model: (i) Assumptions of the EOQ; (ii) Inventory Control in Instantaneous demand Model under development of the Item; (iii) Classic EOQ in Inventory. These three strategies give Brownian motion as per Trapezoidal Rule which give Brownian Path. This path can be found by external estimate, and it is varied, on the basis of Hausdorff Measure and Levy’s processes. Subsequently it is known as Fractals.

Keywords: EOQ, inventory, brownian motion, levy’s processes, fractals

1.1 Introduction

Fractals is a continuous pattern. It is endlessly convoluted examples that are self-comparable across various scales. They are produced by repeating easy procedures again and again in a continuing response loop [20]. Clouds, rivers, mountains, coastlines, seashells, and hurricanes, etc., are a few examples of fractals. The physical system of Brownian movement was first seen in 1827 by botanist Robert Brown while analysing dust grains in water under a magnifying lens. Brownian movement is characterized as the rampant or inconsistent development of molecule in a liquid due to their consistent collision with other quick atoms [10]. This clarification of Brownian movement filled in as persuading proof that molecules exist and was additionally confirmed tentatively by Jean Perrin in 1908. Perrin was granted the Nobel Prize in Physics in 1926 “for his work on the endless structure of matter” [15]. The direction of the power of nuclear bombardment is continually changing, and at various occasions the molecule is hit more on one side than another, prompting the apparently irregular nature of the movement [11].

The many-body connections that yield the Br...