Exercises of Partial Differential Equations

Exercises of Partial Differential Equations

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following mathematical topics:

solving first-order partial-derivative differential equations

solving second-order partial derivative differential equations: elliptic, parabolic and hyperbolic

weak problem formulation

Initial theoretical hints are also presented to make the conduct of the exercises understandable.

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

––––––––

INTRODUCTION

––––––––

I – THEORETICAL OUTLINE

Introduction and definitions

Resolution methods

Second order equations

Weak wording

Remarkable differential equations

––––––––

II – EXERCISES

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

Exercise 20

Exercise 21

Exercise 22

Exercise 23

Exercise 24

Exercise 25

Exercise 26

Exercise 27

Exercise 28

Exercise 29

Exercise 30

Exercise 31

Exercise 32

Exercise 33

INTRODUCTION

In this workbook, some examples of calculations relating to partial differential equations are carried out.

Furthermore, the main theorems used in differential analysis are presented.

Partial differential equations represent one of the high points in the study of mathematical analysis.

The majority of physical events are governed precisely by differential equations of this type and their resolution