ABSTRACT

An Introduction to Partial Differential Equations with MATLAB, Second Edition illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. Updated throughout, this second edition of a bestseller shows students how PDEs can model diverse problems, including the flow of heat,

part |2 pages

Prelude to Chapter 1

chapter 1|38 pages

Introduction

part |2 pages

Prelude to Chapter 2

chapter 2|34 pages

The Big Three PDEs

part |2 pages

Prelude to Chapter 3

chapter 3|48 pages

Fourier Series

part |2 pages

Prelude to Chapter 4

part |2 pages

Prelude to Chapter 5

chapter 5|48 pages

Characteristics

part |2 pages

Prelude to Chapter 6

chapter 6|62 pages

Integral Transforms

part |2 pages

Prelude to Chapter 7

part |2 pages

Prelude to Chapter 8

part |2 pages

Prelude to Chapter 9

chapter 9|88 pages

PDEs in Higher Dimensions

part |2 pages

Prelude to Chapter 10

part |2 pages

Prelude to Chapter 11

chapter 11|40 pages

Numerical Methods

chapter |6 pages

B Other Important Theorems

chapter |10 pages

C Existence and Uniqueness Theorems

chapter |12 pages

D A Menagerie of PDEs