Solving ODEs with MATLAB / Edition 1

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Overview

This book is for people who need to solve ordinary differential equations (ODEs), both initial value problems (IVPs) and boundary value problems (BVPs) as well as delay differential equations (DDEs). These topics are usually taught in separate courses of length one semester each, but solving ODEs with Matlab provides a sound treatment of all three in about 250 pages. The chapters on each of these topics begin with a discussion of "the facts of life" for the problem, mainly by means of examples. Numerical methods for the problem are then developed - but only the methods most widely used. Although the treatment of each method is brief and technical issues are minimized, the issues important in practice and for understanding the codes are discussed. Often solving a real problem is much more than just learning how to call a code. The last part of each chapter is a tutorial that shows how to solve problems by means of small but realistic examples.
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Editorial Reviews

From the Publisher
"The authors provide an excellent treatment of the fundamentals for solving ODEs using MATLAB. Their vast experience from research, the solution of real problems, and the teaching of this material is evident throughout the book." Mathematical Reviews

"...a very useful book to those who are looking to expand their MATLAB experience." Amanda Bligh, Product Design Engineer, Hasbor, Inc.

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Product Details

  • ISBN-13: 9780521530941
  • Publisher: Cambridge University Press
  • Publication date: 4/1/2003
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 272
  • Product dimensions: 7.76 (w) x 8.98 (h) x 0.59 (d)

Table of Contents

Preface
1 Getting Started 1
1.1 Introduction 1
1.2 Existence, Uniqueness, and Well-Posedness 6
1.3 Standard Form 19
1.4 Control of the Error 34
1.5 Qualitative Properties 34
2 Initial Value Problems 39
2.1 Introduction 39
2.2 Numerical Methods for IVPs 40
2.3 Solving IVPs in Matlab 81
3 Boundary Value Problems 133
3.1 Introduction 133
3.2 Boundary Value Problem 135
3.3 Boundary Conditions 138
3.4 Numerical Methods for BVPs 156
3.5 Solving BVPs in Matlab 168
4 Delay Differential Equations 213
4.1 Introduction 213
4.2 Delay Differential Equations 214
4.3 Numerical Methods for DDEs 217
4.4 Solving DDEs in Matlab 221
4.5 Other Kinds of DDEs and Software 247
Bibliography 251
Index 257
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