An Introduction to Partial Differential Equations with MATLAB
eBook - ePub

An Introduction to Partial Differential Equations with MATLAB

  1. 516 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

An Introduction to Partial Differential Equations with MATLAB

About this book

The first two editions of An Introduction to Partial Differential Equations with MATLABĀ® gained popularity among instructors and students at various universities throughout the world. Plain mathematical language is used in a friendly manner to provide a basic introduction to partial differential equations (PDEs).

Suitable for a one- or two-semester introduction to PDEs and Fourier series, the book strives to provide physical, mathematical, and historical motivation for each topic. Equations are studied based on method of solution, rather than on type of equation.

This third edition of this popular textbook updates the structure of the book by increasing the role of the computational portion, compared to previous editions. The redesigned content will be extremely useful for students of mathematics, physics, and engineering who would like to focus on the practical aspects of the study of PDEs, without sacrificing mathematical rigor. The authors have maintained flexibility in the order of topics.

In addition, students will be able to use what they have learned in some later courses (for example, courses in numerical analysis, optimization, and PDE-based programming). Included in this new edition is a substantial amount of material on reviewing computational methods for solving ODEs (symbolically and numerically), visualizing solutions of PDEs, using MATLABĀ®'s symbolic programming toolbox, and applying various schemes from numerical analysis, along with suggestions for topics of course projects.

Students will use sample MATLABĀ® or Python codes available online for their practical experiments and for completing computational lab assignments and course projects.

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Yes, you can access An Introduction to Partial Differential Equations with MATLAB by Matthew P. Coleman,Vladislav Bukshtynov in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Chapman and Hall/CRC
Year
2024
Print ISBN
9781032639383
eBook ISBN
9781040090152
Edition
3
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Dedication Page
  7. Contents
  8. Preface
  9. Acronyms and Abbreviations
  10. Author Biographies
  11. 1 Introduction
  12. 2 The Big Three PDEs
  13. 3 Using MATLABĀ® for Solving Differential Equations and Visualizing Solutions
  14. 4 Fourier Series
  15. 5 Solving the Big Three PDEs on Finite Domains
  16. 6 Review of Numerical Methods for Solving ODEs
  17. 7 Solving PDEs Using Finite Difference Approximations
  18. 8 Integral Transforms
  19. 9 Using MATLABĀ®'s Symbolic Math Toolbox with Integral Transforms
  20. 10 PDEs in Higher Dimensions
  21. 11 Overview of Spectral, Finite Element, and Finite Volume Methods
  22. A Important Definitions and Theorems
  23. B Bessel's Equation and the Method of Frobenius
  24. C A Menagerie of PDEs
  25. D Review of Math with MATLABĀ®
  26. E Answers to Selected Exercises
  27. Bibliography
  28. Index