# Solving ODEs with MATLAB / Edition 1

ISBN-10: 0521530946

ISBN-13: 9780521530941

Pub. Date: 04/01/2003

Publisher: Cambridge University Press

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.…  See more details below

## 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.

## Product Details

ISBN-13:
9780521530941
Publisher:
Cambridge University Press
Publication date:
04/01/2003
Edition description:
New Edition
Pages:
272
Product dimensions:
7.76(w) x 8.98(h) x 0.59(d)

## Related Subjects

 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