# Solving ODEs with MATLAB

Cambridge University Press, Apr 28, 2003 - Computers - 263 pages
This book is a text for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics. Prerequisites are a first course in the theory of ODEs and a survey course in numerical analysis, in addition to specific programming experience, preferably in MATLAB, and knowledge of elementary matrix theory. Professionals will also find that this useful concise reference contains reviews of technical issues and realistic and detailed examples. The programs for the examples are supplied on the accompanying web site and can serve as templates for solving other problems. Each chapter begins 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 those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understaning the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.

### Contents

 Getting Started 1 12 Existence Uniqueness and WellPosedness 6 13 Standard Form 19 14 Control of the Error 27 15 Qualitative Properties 34 Initial Value Problems 39 22 Numerical Methods for IVPs 40 221 OneStep Methods 41
 32 Boundary Value Problems 135 33 Boundary Conditions 138 331 Boundary Conditions at Singular Points 139 332 Boundary Conditions at Infinity 146 34 Numerical Methods for BVPs 156 35 Solving BVPs in MATLAB 168 Delay Differential Equations 213 42 Delay Differential Equations 214

 222 Methods with Memory 57 23 Solving IVPs in MATLAB 81 231 Event Location 92 232 ODEs Involving a Mass Matrix 105 233 Large Systems and the Method of Lines 114 234 Singularities 127 Boundary Value Problems 133
 43 Numerical Methods for DDEs 217 44 Solving DDEs in MATLAB 221 45 Other Kinds of DDEs and Software 247 Bibliography 251 Index 257 Copyright

### References to this book

 Solving ODEs with MATLABLimited preview - 2003
 MATLAB GuideNo preview available - 2005
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