Home   >   CSC-OpenAccess Library   >    Manuscript Information
Full Text Available

(102.13KB)
This is an Open Access publication published under CSC-OpenAccess Policy.
Publications from CSC-OpenAccess Library are being accessed from over 74 countries worldwide.
Advantages and Disadvantages of Using MATLAB/ode45 for Solving Differential Equations in Engineering Applications
Waleed K. Ahmed
Pages - 25 - 31     |    Revised - 15-01-2013     |    Published - 28-02-2013
Volume - 7   Issue - 1    |    Publication Date - April 2013  Table of Contents
MORE INFORMATION
KEYWORDS
DE, Disadvantages, Engineering, MATLAB, ode45
ABSTRACT
The present paper demonstrates the route used for solving differential equations for the engineering applications at UAEU. Usually students at the Engineering Requirements Unit (ERU) stage of the Faculty of Engineering at the UAEU must enroll in a course of Differential Equations and Engineering Applications (MATH 2210) as a prerequisite for the subsequent stages of their study. Mainly, one of the objectives of this course is that the students practice MATLAB software package during the course. The aim of using this software is to solve differential equations individually and as a system of equation in parallel with analytical mathematics trends. In general, mathematical models of the engineering systems like mechanical, thermal, electrical, chemical and civil are modeled and solve to predict the behavior of the system under different conditions. The paper presents the technique which is used to solve DE using MATLAB. The main code that utilized and presented is MATLAB/ode45 to enable the students solving initial value DE and experience the response of the engineering systems for different applied conditions. Moreover, both advantages and disadvantages are presented especially the student mostly face in solving system of DE using ode45 code
CITED BY (4)  
1 Nehra, V., & Sehgal, R. (2015). Symbolic Computation ofMathematical Transforms and Its Application: A MATLAB Computational Project-Based Approach. IUP Journal of Electrical and Electronics Engineering, 8(1), 53.
2 Bikorimana, J. M. V., & Van den Bossche, A. (2014). Using numerical inverse laplace for optimizing the current control in grid coupled inverters. In International Conference on Electro-Energy (ICEE'2014) (pp. 13-17). Skikda University.
3 Nehra, V. (2014). MATLAB/Simulink Based Study of Different Approaches Using Mathematical Model of Differential Equations. International Journal of Intelligent Systems and Applications (IJISA), 6(5), 1.
4 Kaur, D., Bath, S. K., & Sidhu, D. S. Short Circuit Fault Analysis of Electrical Power System using MATLAB.
1 Google Scholar 
2 CiteSeerX 
3 refSeek 
4 Scribd 
5 SlideShare 
6 PdfSR 
1 D. Ibrahim. “Engineering simulation with MATLAB: improving teaching and learning effectiveness”. Procedia Computer Science 3, 2011, pp. 853–858.
2 G.F. Simmons and S.G. Krantz. “Differential Equations: Theory, Techniques, and Practice”,International Edition, New York: McGraw Hill, 2007.
3 P.V. O'Neil. “Advanced Engineering Mathematics”, International Student Edition, Ontario:Thomson, 1995.
4 F. Pietryga. “Solving Differential Equations Using MATLAB/Simulink”, Proceedings of the American Society for Engineering Education Annual Conference & Exposition, 2005.
5 J. Walkenbach. “Excel 2007 Bible”, Indianapolis: John Wiley & Sons, 2007.
6 B. Hahn, D. Valentine. “Essential Matlab for Engineers and Scientists”, 4th edition, MA:Academic Press, 2007.
7 MatriXx Software Suite, National Semiconductors, web site: http://www.ni.com .
8 S.C. Chapra. “Applied Numerical Methods with MATLAB”, 2nd ed., New York: McGraw Hill,,2008.
9 D. Zill. “A First Course in Differential Equations with Modeling and Applications”, Brooks/Cole Publishing Company, 6th ed, 1997.
10 C. Close, D. Frederick, J. Newell. “Modeling and Analysis of Dynamic Systems”, John Wiley and Sons, Inc., 3rd ed, 2002.
11 K. Ogata. “System Dynamics”, 4th ed., New Jersy: Pearson Prentice Hall, 2004.
12 W.J. Palm. “System Dynamics”, International 2nd Edition, New York: McGraw Hill, 2010.
13 http://www.mathworks.com/support/tech-notes/1500/1510.html.
14 W.Ahmed, K.Harib, ”MATLAB/SIMULINK to Solve Mathematical Models of Engineering Systems: Class Activity”, ICERI2011, Proceedings of the 4th International Conference of Education, Research and Innovation, Madrid, Spain, 14-16 November, 2011. ISBN: 978-84-615-3324-4.
Dr. Waleed K. Ahmed
UAE University - United Arab Emirates
wkh.ahmed@gmail.com