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Matlab For Engineering [Hardback]

(Univ Degli Studi Napoli Federico Ii, Italy)
  • Formāts: Hardback, 328 pages
  • Izdošanas datums: 07-Oct-2021
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9811240663
  • ISBN-13: 9789811240669
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  • Hardback
  • Cena: 93,73 €
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Matlab For EngineeringPalielināt
  • Formāts: Hardback, 328 pages
  • Izdošanas datums: 07-Oct-2021
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9811240663
  • ISBN-13: 9789811240669
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9789811240669.html
This book presents an introduction to Matlab for students and professionals working in the field of engineering and other scientific and technical sectors, who have an interest or need to apply Matlab as a tool for undertaking simulations and formulating solutions for the problems concerned.The presentation is highly accessible, employing a step-by-step approach in discussing selected problems: deduction of the mathematical model from the physical phenomenon, followed by analysis of the solutions with Matlab. Since a physical phenomenon takes place in space and time, the corresponding mathematical model involves partial differential equations. For this reason, the book is dedicated to numerically solving these equations with the Finite Element Method and Finite Difference Method. Throughout, the text presents numerous examples and exercises with detailed worked solutions. Matlab for Engineering is a useful desktop reference for undergraduates and scientists alike in real world problem solving.Related Link(s)
Preface v
Chapter 1 Function Files
1(38)
1.1 Matrices
1(9)
1.1.1 Creating Matrices
1(1)
1.1.2 Matrix Indexing
2(2)
1.1.3 Matrix Manipulation
4(2)
1.1.4 Tridiagonal Matrices
6(2)
1.1.5 Matrix Operations
8(1)
1.1.6 Right and Left Divisions
9(1)
1.2 Script Files
10(5)
1.2.1 For Loop
10(1)
1.2.2 Examples of Script Files
11(4)
1.3 Introduction to Function Files
15(18)
1.3.1 Structure of Function Files
15(2)
1.3.2 Function with a Multiple Output Variable
17(2)
1.3.3 Flow Control Structures
19(6)
1.3.4 Local Functions, Anonymous Functions
25(2)
1.3.5 Logical Operators and Logical Functions
27(6)
1.4 Exercises
33(6)
Chapter 2 The Finite Difference Method
39(60)
2.1 Finite Difference Approximations of Derivatives
39(10)
2.1.1 Forward, Backward and Central Approximations
39(7)
2.1.2 Approximation of Functions Depending on Two Variables
46(1)
2.1.3 Approximation of Higher Order Derivatives
47(2)
2.2 Diffusion
49(9)
2.2.1 Fourier's Law and Heat Equation
49(6)
2.2.2 Fick's Law and Diffusion
55(1)
2.2.3 Free Boundary Value Problems
56(2)
2.3 Finite Difference Method
58(35)
2.3.1 Explicit Euler Method
58(6)
2.3.2 Stability, Convergence, Consistence
64(4)
2.3.3 Boundary Value Problems
68(8)
2.3.4 Diffusion in a Multi-layer Medium
76(4)
2.3.5 Implicit Euler Method
80(4)
2.3.6 Crank--Nicolson Method
84(5)
2.3.7 Von Neumann Stability Criterium
89(4)
2.4 Exercises
93(6)
Chapter 3 Diffusion and Convection
99(54)
3.1 Convection-diffusion Equation
99(19)
3.1.1 Upwind Method
99(8)
3.1.2 Other Finite Difference Methods for the Convection-Diffusion Equation
107(4)
3.1.3 Advection Equation
111(7)
3.2 Method of Lines
118(22)
3.2.1 Heat Equation
118(9)
3.2.2 Nonlinear Equations
127(6)
3.2.3 Variable Diffusivity Coefficient
133(3)
3.2.4 Convection-Diffusion Equation
136(4)
3.3 Saving Data and Figures
140(3)
3.3.1 Save Function
140(2)
3.3.2 Load Function
142(1)
3.3.3 Saving Figures
143(1)
3.4 Exercises
143(10)
Chapter 4 Introduction to the Finite Element Method
153(60)
4.1 Numerical Integration
153(11)
4.2 Finite Element Method
164(25)
4.2.1 Axial Motion of a Bar
164(3)
4.2.2 Weak Solution
167(2)
4.2.3 Shape Functions
169(2)
4.2.4 Boundary Value Problems
171(9)
4.2.5 Axial Displacement and Stress in a Bar
180(4)
4.2.6 Concentrated Force and Dirac Function
184(5)
4.3 Partial Differential Equations
189(16)
4.3.1 Diffusion Equation
189(8)
4.3.2 Wave Equation
197(8)
4.4 Exercises
205(8)
Chapter 5 Introduction to the Finite Element Method in Two Spatial Dimensions
213(54)
5.1 Elliptic Partial Differential Equations
213(4)
5.1.1 Green's Identities
213(1)
5.1.2 Boundary Value Problems
214(3)
5.2 Finite Element Method in Two Spatial Dimensions
217(23)
5.2.1 Shape Functions
217(8)
5.2.2 Weak Form of the Poisson Equation
225(5)
5.2.3 Dirichlet--Neumann Problem
230(4)
5.2.4 Applications to the Dam and Sheet Pile Wall
234(6)
5.3 Finite Difference Method
240(17)
5.3.1 Five-Point Method
240(7)
5.3.2 Model of a Dam
247(10)
5.4 Exercises
257(10)
Chapter 6 The Euler--Bernoulli Beam
267(44)
6.1 Finite Element Method
267(10)
6.1.1 Euler--Bernoulli Beam Equation
267(3)
6.1.2 Shape Functions
270(4)
6.1.3 Weak Form
274(3)
6.2 Statics
277(19)
6.3 Beam Subjected to Concentrated Forces
296(9)
6.4 Exercises
305(6)
Bibliography 311(2)
Index 313