TY - JOUR

T1 - Matlab solution for first order differential equations on real time engineering applications

AU - Arjunan, R. Vijaya

AU - Sarala, S.

AU - Nirmala, M.

N1 - Publisher Copyright:
© 2018, Institute of Advanced Scientific Research, Inc. All rights reserved.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2018

Y1 - 2018

N2 - A differential equation is an equation involving derivatives of an unknown function and possibly the function itself as well as the independent variables [1]. Differential equations have a remarkable ability to predict the world around us. They are used in a wide variety of disciplines, from Biology, Economics, Physics, Chemistry and Engineering. They can describe exponential growth and decay, the population growth of species or the change in investment return over time. The concept of differential equations is an integral part of Mathematics for understanding the physical sciences [3]. Most differential equations arise from problems in Physics, Engineering and other basic Sciences and these equations serve as mathematical models for solving numerous problems in the field of Science and Engineering. Formulating differential equation to real world problem is not easy. Firstly, those real world problems requiring differential equation need to be identified, formulate Mathematical model based on some assumption and enumeration [4]. The formulated equations are interpreted using Matlab as a tool for verification and synthesis. In the present study differential equation formulation to Rate of change of moisture, Speed of racer, One Cistern mixing problem and Sky diving are discussed and relevant synthesis are obtained and shown using Matlab tool.

AB - A differential equation is an equation involving derivatives of an unknown function and possibly the function itself as well as the independent variables [1]. Differential equations have a remarkable ability to predict the world around us. They are used in a wide variety of disciplines, from Biology, Economics, Physics, Chemistry and Engineering. They can describe exponential growth and decay, the population growth of species or the change in investment return over time. The concept of differential equations is an integral part of Mathematics for understanding the physical sciences [3]. Most differential equations arise from problems in Physics, Engineering and other basic Sciences and these equations serve as mathematical models for solving numerous problems in the field of Science and Engineering. Formulating differential equation to real world problem is not easy. Firstly, those real world problems requiring differential equation need to be identified, formulate Mathematical model based on some assumption and enumeration [4]. The formulated equations are interpreted using Matlab as a tool for verification and synthesis. In the present study differential equation formulation to Rate of change of moisture, Speed of racer, One Cistern mixing problem and Sky diving are discussed and relevant synthesis are obtained and shown using Matlab tool.

UR - http://www.scopus.com/inward/record.url?scp=85058674836&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85058674836&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85058674836

SN - 1943-023X

VL - 10

SP - 202

EP - 209

JO - Journal of Advanced Research in Dynamical and Control Systems

JF - Journal of Advanced Research in Dynamical and Control Systems

IS - 7

ER -