MATLAB Numerical Methods with Chemical Engineering Applications 1st edition by Kamal Malah – Ebook PDF Instant Download/Delivery: 0071831291, 9780071831291
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ISBN 10: 0071831291
ISBN 13: 9780071831291
Author: Kamal Malah
A practical, professional guide to MATLAB computational techniques and engineering applications MATLAB Numerical Methods with Chemical Engineering Applications shows you, step by step, how to use MATLAB® to model and simulate physical problems in the chemical engineering realm. Written for MATLAB 7.11, this hands-on resource contains concise explanations of essential MATLAB commands, as well as easy-to-follow instructions for using the programming features, graphical capabilities, and desktop interface. Every step needed toward the final solution is algorithmically explained via snapshots of the MATLAB platform in parallel with the text. End-of-chapter problems help you practice what you’ve learned. Master this powerful computational tool using this detailed, self-teaching guide. COVERAGE INCLUDES: MATLAB basics Matrices MATLAB scripting language: M-file Image and image analysis Curve-fitting Numerical integration Solving differential equations A system of algebraic equations Statistics Chemic
MATLAB Numerical Methods with Chemical Engineering Applications 1st Table of contents:
1. MATLAB Basics
1.1. Starting MATLAB
1.2. Online Help
1.3. Simple Arithmetic Operations
1.4. MATLAB Built-in Library Functions
1.5. Output Display in MATLAB
1.6. Algebra
1.7. Vectors
1.7.1. The Row Vectors
1.7.2. The Column Vectors
1.7.3. The Colon Notation
1.7.4. Transpose
1.8. Plots and Graphs
1.8.1. Non-ASCII Character Display
1.8.2. Font-Related Attributes
1.8.3. Plotted Curve (Line) Attributes
1.8.4. Super-Positioning of Plots
1.8.5. Subplotting
1.8.6. Axes Control
1.8.7. Graphics of Functions of Two Variables
1.9. Interrupting Calculations
1.10. Syntax Errors
1.11. Suppressing Output
1.12. Problems
2. Living with Matrices
2.1. Defining Matrices
2.1.1. Referencing an Element in a Matrix
2.2. Size of Matrices
2.3. The Identity Matrix
2.4. Diagonal Matrix
2.5. Specialized Matrices
2.6. The Colon Operator
2.7. Manipulating Matrices
2.8. Array (Element-by-Element) Operations on Matrices
2.9. Matrix Multiplication
2.9.1. Matrix Exponentiation
2.10. String Arrays
2.10.1. Assignment
2.10.2. Input
2.10.3. Concatenation of Strings
2.10.4. Interconversion between Double and Char
2.10.5. Strings Comparison
2.11. Printing Output
2.12. Problems
3. MATLAB Scripting Language: M-File
3.1. What Is an M-File?
3.2. MATLAB Search Path, Path Management, and Startup
3.3. Script M-File
3.3.1. Effective Naming and Referencing of M-Files
3.4. Function M-File
3.5. Errors and Debugging
3.5.1. Scientific Notation, Significant Figures, and Precision
3.5.2. Errors Related to Floating-Point Arithmetic
3.5.3. Numerical Stability
3.5.4. Syntax Errors
3.5.5. Run-Time Logic Errors
3.5.6. Remedies to Minimize Errors
3.6. Problems
4. Image and Image Analysis
4.1. Reading a Graphics Image
4.2. Graphics Image Display
4.3. MATLAB Image-Modifying Functions
4.4. Image Saving
4.5. Image Resizing
4.6. Mathematical Manipulation of Image Arrays
4.7. Image Acquisition/Quality Control
4.8. Image Acquisition/Bacterial Colony Counting
4.9. MATLAB Image Acquisition Tool (imaqtool)
4.10. Problems
5. Curve-Fitting
5.1. (Two-Parameter) Linear Regression
5.2. Importing Data
5.3. Data Visualization
5.4. Statistical Definitions
5.4.1. Residuals
5.4.2. Sum of Residuals
5.4.3. Residual Sum of Squares
5.4.4. Error Variance
5.4.5. R2, or the Coefficient of Multiple Determination
5.4.6. AdjR2 (R2a), Adjusted Coefficient of Multiple Determination
5.5. The Model Goodness
5.5.1. By-the-Naked-Eye Test (No Statistics)
5.5.2. The Model Goodness (with Statistics)
5.6. MATLAB’s Curve Fitting Toolbox (cftool)
5.6.1. Results of MATLAB’s cftool
5.7. MATLAB’s Surface Fitting ToolBox (sftool)
5.8. Problems
6. Numerical Integration
6.1. Trapezoid Rule
6.1.1. Description (MATLAB’s Trapz Help)
6.2. Simpson’s Rule
6.3. Symbolic Integration
6.4. Problems
7. Solving Differential Equations
7.1. Euler’s Explicit Method
7.2. Euler’s Implicit Method
7.3. Runge–Kutta (R–K) Method
7.4. Solution of a Set of Ordinary Differential Equations
7.5. Solution of a Higher-Order Ordinary Differential Equation
7.6. ODE and System Solver Using MATLAB dsolve
7.7. The Shooting Method for a Higher-Order Ordinary Differential Equation
7.8. Problems
8. A System of Algebraic Equations
8.1. The Determinant of a Matrix and Its Inverse
8.1.1. (2 × 2) Square Matrix
8.1.2. (3 × 3) Square Matrix
8.2. A System of (n × n) Linear Algebraic Equations
8.2.1. A System of (n × n) Linearly Independent Equations (⇒ | A| ≠ 0)
8.2.2. Gauss Elimination Method with Partial Pivoting
8.2.3. Ill-Conditioning
8.3. Problems
9. Statistics
9.1. Probability
9.2. Typical Distribution Functions
9.2.1. Uniform Distribution
9.2.2. Normal Distribution
9.2.3. Binomial Distribution
9.2.4. Poisson Distribution
9.2.5. Exponential Distribution Function
9.2.6. Gamma Distribution Function
9.2.7. Chi-Square Distribution
9.2.8. Weibull Distribution
9.2.9. Beta Distribution
9.3. Maximum Likelihood Estimates (MLE)
9.4. A Full-Fledged Example Showing Statistical Data Acquisition, Analysis, and Visualization by MATLAB
9.4.1. Load In the Data Using the Dataset Array
9.4.2. Data Management and Manipulation
9.4.3. Show Plot by a Category
9.4.4. Customize the Plot
9.4.5. Hypothesis Testing
9.4.6. Screening Data Using Hypothesis Testing
9.4.7. Flagging or Labeling Data: Alive vs. Dead Sensor
9.4.8. Analysis of Variance (ANOVA)
9.4.9. Clustering (Showing Groups and Outliers)
9.4.10. Curve-Fitting
9.5. Problems
10. Chemical Engineering Applications
10.1. A Simple Electric Circuit
10.2. Van der Waals’ Equation of State
10.3. A Simple Cooling Tank
10.4. Isothermal Batch Reactor
10.5. A Non-Isothermal CSTR with Water Cooling Jacket
10.6. A Pressurized, Isothermal Gas-Phase CSTR
10.7. One-Dimensional Heat Flow
10.7.1. Solving 1D Heat Equation Using the MATLAB PDE Solver
10.8. One-Dimensional Mass Flow
10.8.1. Solving 1D Mass Equation Using the MATLAB PDE Solver
10.9. Unconstrained 1D Function Minimization
10.10. Unconstrained 2D Function Minimization
10.11. Constrained 2D Function Minimization
10.11.1. Inequality Constraint
10.11.2. Equality Constraint
10.12. Bubble-Point Calculation for Benzene-Toluene Mixture
10.13. Dew-Point Calculation for Benzene-Toluene Mixture
10.14. Problems
11. MATLAB Graphical User Interface Design Environment (GUIDE)
11.1. What Is the MATLAB Graphical User Interface Design Environment?
11.2. Invoking the MATLAB GUIDE
11.3. Simple Tasks with the MATLAB GUIDE
11.4. Graphical User Interface for an Ideal Gas Volume Calculation
11.5. Graphical User Interface for Evaluating Volume-Related Properties of a Pure Substance
11.6. Saving Results to a File
11.7. Deployment of MATLAB-Based Applications
11.8. Problems
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