Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB

by Stanoyevitch, Alexander

• ISBN13: 9780471697381
• ISBN10: 0471697389
• Edition: 1st
• Format: Hardcover
• Copyright: 2004-12-31
• Publisher: Wiley-Interscience

Summary

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB(r) teaches you how to numerically solve both ordinary and partial differential equations with ease. This innovative resource brings together a skillful treatment of MATLAB and programming alongside current theory and modeling methods. All the tools needed to master MATLAB and then use it to solve differential equations are provided. "Exercises for the Reader" range from routine computations to more advanced conceptual and theoretical questions, while illustrative examples demonstrate MATLAB's powerful ability to solve differential equations. With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB(r) is an unsurpassed pedagogical tool.

Author Biography

ALEXANDER STANOYEVITCH, PhD, is a professor of mathematics and has served as department chairman at the University of Guam. He completed his graduate work in mathematical analysis at the University of Michigan–Ann Arbor. He has published several articles in leading mathematical journals and has been an invited speaker at numerous lectures and conferences. Dr. Stanoyevitch makes extensive use of MATLAB in most of the classes that he teaches.

Table of Contents

Preface.

PART I. INTRODUCTION TO MATLAB AND NUMERICAL PRELIMINARIES.

Chapter 1. MATLAB Basics.

Chapter 2. Basic Concepts of Numerical Analysis with Taylor’s Theorem.

Chapter 3. Introduction to M-Files.

Chapter 4. Programming in MATLAB.

Chapter 5. Floating Point Arithmetic and Error Analysis.

Chapter 6. Rootfinding.

Chapter 7. Matrices and Linear Systems.

PART II. ORDINARY DIFFERENTIAL EQUATIONS.

Chapter 8. Introduction to Differential Equations.

Chapter 9. Systems of First Order Differential Equations and Higher Order Differential Equations.

Chapter 10. Boundary Value Problems for Ordinary Differential Equations.

PART III. PARTIAL DIFFERENTIAL EQUATIONS.

Chapter 11. Introduction to Partial Differential Equations.

Chapter 12. Parabolic and Hyperbolic Partial Differential Equations.

Chapter 13. The Finite Element Method.

Appendix A. Introduction to MATLAB’s Symbolic Toolbox.

Appendix B. Solutions to All Exercises for the Reader.

References.

MATLAB Command Index.

General Index.