PDE Toolbox Primer for Engineering Applications with MATLAB® Basics (Hardcover)

Chapter 1. Introduction 1.1.Preamble 1.2.A bit of history and advantages of the software presented in this book 1.3. The goals of the book and its audience 1.4.About material in chapters. 1.5.Material arrangement in the chapter and the available program Editors. 1.6.MATLAB® and PDE toolbox versions used in this book. 1.7.The order of mastering the material.Chapter 2. Basics of the software2.1. Introduction 2.2. Running the MATLAB® 2.3. Vectors, matrices and arrays. 2.4. Flow control 2.5. Application examples Chapter 3. Program managing. Editor and Live Editor3.1. Introduction3.2. Scripts and script files3.3. User-defined functions and function files3.4. Interactive script and function programs: Live Editor3.5. Application examplesChapter 4. Basics of Graphics4.1. Introduction4.2. 2D plots generating and formatting4.3. Three-dimensional plots4.4. Supplementary 2D and 3D plot commands4.5. Application examples Chapter 5. ODE solvers for initial and boundary value problems5.1. Introduction5.2. ODE solver for IVP5.3. Solver for boundary value problem of ODEs5.4. Application examples for IVP of the ODEs5.5. Application examples for BVPChapter 6. Partial differential equations and programmatic tool of the PDE toolbox.6.1. Introduction.6.2. About numerical methods used for solution of the PDEs.6.3. PDE tool and types of differential equations that can be solved.6.4. Programmatic tool of the PDE toolbox.6.5. Application examplesChapter 7. Solving two-dimensional partial differential equations with PDE Modeler7.1. Introduction.7.2. PDE toolbox interface.7.3. Drawing two-dimensional objects.7.4. Application examples.Chapter 8. Solving one-dimensional partial differential equations8.1. Introduction8.2. Standard forms for 1D PDE and initial and boundary conditions.8.3. The pdepe command, its input and output.8.4. Application Examples. Chapter 9. Coupled 2D PDE solutions and 3D PDE solutions.9.1. Introduction.9.2. Solving a set of two PDEs using PDE Modeler.9.3. 3D PDEs and steps to its solution.9.4. Supplementary commands of the 2D/3D PDE programmatic tool.9.5. Application examples.Chapter 10. Towards solving ODE and PDE problems in the life sciences.10.1. Introduction10.2. Solving ODEs with ode- and bvp- solvers.10.3. Solving 1D PDEs using the pdepe command.10.4. Solving 2D PDEs using the PDE toolbox.