# Solving Differential Equations in R

Springer Science & Business Media, Jun 6, 2012 - Computers - 248 pages
Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical and theoretical account of how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differential equations and delay differential equations. The solution of differential equations using R is the main focus of this book. It is therefore intended for the practitioner, the student and the scientist, who wants to know how to use R for solving differential equations. However, it has been our goal that non-mathematicians should at least understand the basics of the methods, while obtaining entrance into the relevant literature that provides more mathematical background. Therefore, each chapter that deals with R examples is preceded by a chapter where the theory behind the numerical methods being used is introduced. In the sections that deal with the use of R for solving differential equations, we have taken examples from a variety of disciplines, including biology, chemistry, physics, pharmacokinetics. Many examples are well-known test examples, used frequently in the field of numerical analysis.

### What people are saying -Write a review

We haven't found any reviews in the usual places.

### Contents

 Chapter 1 Differential Equations 1 Chapter 2 Initial Value Problems 15 Chapter 3 Solving Ordinary Differential Equations in R 41 Chapter 4 Differential Algebraic Equations 81 Chapter 5 Solving Differential Algebraic Equations in R 95 Chapter 6 Delay Differential Equations 116 Chapter 7 Solving Delay Differential Equations in R 123
 Chapter 8 Partial Differential Equations 137 Chapter 9 Solving Partial Differential Equations in R 156 Chapter 10 Boundary Value Problems 187 Chapter 11 Solving Boundary Value Problems in R 206 Appendix A 239 Index 245 Copyright