Computational Methods with MATLAB Examples and Exercises

Computational methods commonly taught to mechanical engineering undergraduates. Contains a workbook, m-files, solutions and supporting data.

The zip file contains the pdf and docx for the workbook, m-files, solutions, and other supporting data files. The book is available free of charge, with a CC BY-NC 4.0 International License.

Cite as:

King, Martin P., 2022, Computational Methods with MATLAB Examples and Exercises, [Book and Codes], doi: https://doi.org/10.5281/zenodo.6208040

Table of Contents

Foreword.........................................................................5

Exercise 1. 2D Laplace Equation (an elliptic PDE).........7

Exercise 2. 2D Poisson Equation (an elliptic PDE).........11

Exercise 3. 1D Time-dependent Heat Conduction Equation (a parabolic PDE)................................................................15

Exercise 4. 2D Time-dependent Heat Conduction Equation (a parabolic PDE)................................................................18

Exercise 5. ODE – Numerical Order of Accuracy............26

Exercise 6. ODE – Numerical Order of Accuracy and Stability............................................................................30

Exercise 7. ODE – Lorenz Equations..............................35

Exercise 8. ODE – Eigenvalues and Eigenvectors..........41

Exercise 9. ODE – Boundary Value Problems.................44

Exercise 10. Interpolation................................................47

Exercise 11. Filters..........................................................51

Bibliography......................................................................56