About this ebook
Chapter One - Solution of a System of Linear Equations
Chapter Two - Solution of Nonlinear Equations
Chapter Three - Interpolation, Differentiation and Integration
Chapter Four- Numerical Solution of Ordinary Differential Equations
Chapter Five - Numerical solution of Partial Differential Equations
Chapter Six - Process Optimization
Chapter Seven - Parameter Estimation
Each chapter is arranged in four major parts. In the first part, the basic problem patterns that can be solved with MATLAB® are presented. The second part describes how to apply MAT-LAB® commands to solve the formulated problems in the field of chemical engineering. In the third and the fourth parts, exercises and summary of MATLAB® instructions are provided, respectively. The description of the chemical engineering example follows the sequence of problem formulation, model analysis, MATLAB® program design, execution results, and discussion. In this way, learners are first aware of the basic problem patterns and the underlying chemical engineering principles, followed by further familiarizing themselves with the relevant MATLAB® instructions and programming skills. Readers are encouraged to do exercises to practice their problem-solving skills and deepen the fundamental knowledge of chemical engineering and relevant application problems.
The table of contents is listed below:
Chapter 1: Solution of a System of Linear Equations 1
1.1 Properties of linear equation systems and the relevant MATLAB commands 1
1.2 Chemical engineering examples 10
1.3 Exercises 43
1.4 Summary of the MATLAB commands related to this chapter 48
Chapter 2: Solution of Nonlinear Equations 51
2.1 Relevant MATLAB commands and the Simulink solution interface 51
2.2 Chemical engineering examples 70
2.3 Exercises 103
2.4 Summary of MATLAB commands related to this chapter 122
Chapter 3: Interpolation, Differentiation, and Integration 125
3.1 Interpolation commands in MATLAB 125
3.2 Numerical differentiation 131
3.3 Numerical integration 153
3.4 Chemical engineering examples 157
3.5 Exercises 183
3.6 Summary of the MATLAB commands related to this chapter 195
Chapter 4: Numerical Solution of Ordinary Differential
Equations 197
4.1 Initial value problems for ordinary differential equations 197
4.2 Higher-order ordinary differential equations 222
4.3 Stiff differential equations 227
4.4 Differential-algebraic equation system 232
4.5 Boundary-valued ordinary differential equations 236
4.6 Chemical engineering examples 254
4.7 Exercises 285
4.8 Summary of the MATLAB commands related to this chapter 308
Chapter 5: Numerical Solution of Partial Differential Equations
311
5.1 Classifications of PDEs 311
5.2 The MATLAB PDE toolbox 316
5.3 Chemical engineering examples 341
5.4 Exercises 388
5.5 Summary of the MATLAB commands related to this chapter 397
Chapter 6: Process Optimization 399
6.1 The optimization problem and the relevant MATLAB commands 399
6.2 Chemical engineering examples 448
6.3 Exercises 481
6.4 Summary of the MATLAB commands related to this chapter 501
Chapter 7: Parameter Estimation 503
7.1 Parameter estimation using the least-squares method 503
7.2 Chemical engineering examples 517
7.3 Exercises 549
7.4 Summary of the MATLAB commands related to this chapter 560
References 563
Index 569
About the author
Chyi-Tsong Chen (陳奇中) , Ph.D.
Life-long Distinguished Professor, National Quemoy University, Taiwan
Prof. Chen received the B.S. and Ph.D. degrees from National Cheng Kung University, Taiwan, R.O.C., in 1985 and 1990, respectively, all in Chemical Engineering.
After two-year military service, he joined in the Department of Chemical Engineering, Feng Chia University in 1992 titled as the Associate Professor. In 1997, he promoted to Professor at the same university. Dr. Chen used to be the Director of Chemical Engineering Department (2001/8-2003/7), Associate Dean of College of Engineering (2003/8-2005/7), Dean of the College of Continuing Education (2005/8-2007/7), and Dean of FCU Extension (2007/8-2009/7). About academic activities and services, he is a member of the Society of Chemical Engineers and the honorary member of the Society of the Phi Tau Phi, Taiwan and served as the Associate Editor for the Journal of Taiwan Institute of Chemical Engineers (2012-2015).
During his professional career, he used to be a Visiting Professor at the Department of Chemical Engineering, University of California, Santa Barbara (2000/1-8) and a Visiting Scholar at Massachusetts Institute of Technology, USA (2010/8-2011/7). His research interests include nonlinear process control, intelligent techniques and applications, process design and optimization. He has over one hundred and fifty publications in journal articles, refereed proceedings and technical reports in the field of process system engineering. Dr. Chen received several Research Awards from both the Feng Chia University (1993-2010) and National Science Council of Taiwan (1997-2000). He also won the Best Educational Website Award from the Society of Taiwan Institute of Chemical Engineers (TWIChE) in 1999, the Best Teacher Award of Feng Chia University in 2006, and the Best Poster Paper Award of TWIChE Annual Meeting three times, respectively, in 2009, 2011 and 2013. Since 2014, he transferred to National Quemoy University (NQU) and served as the position of Vice President. He also serves in NQU as the Director of the Research Center for Environmental Education and Dean of Wu-Zhou College, aiming at cultivating students’ hard and soft skills for environmental preservation, conservation and protection.
