Elements of partial differential equations / Pavel Drabek, Gabriela Holubova.

Format:

Book

Author/Creator:

Drábek, Pavel, 1953-

Contributor:

Holubová, Gabriela.

Series:

De Gruyter textbook.

De Gruyter textbook

De Gruyter Textbook

Language:

English

Subjects (All):

Differential equations, Partial--Textbooks.

Differential equations, Partial.

Wave-motion, Theory of--Textbooks.

Wave-motion, Theory of.

Physical Description:

1 online resource (256 pages) : illustrations.

Place of Publication:

Berlin ; New York : Walter de Gruyter, [2007]

Language Note:

English

Summary:

This textbook presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. An elementary introduction to the basic principles of partial differential equations. With many illustrations. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.

Contents:

Preface

1. Mathematical models, conservation and constitutive laws

2. Classification, types of equations, boundary and initial conditions

3. Linear partial differential equations of the first oder

4. Wave equation in one spatial variable

Cauchy problem R

5. Diffusion equation in one spatial variable

Cauchy problem in R

6. Laplace and Poisson equations in two dimensions

7. Solutions of initial boundary value problems for evolution equations

8. Solutions of boundary value problems for stationary equations

9. Methods of integral transforms

10. General principles

11. Laplace and Poisson equations in higher dimensions

12. Diffusion equation in higher dimensions

13. Wave equation in higher dimensions

14. Appendix

Some typical problems considered in this book

Notation

Bibliography

Index.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (pages [239]-240) and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

Description based on print version record.

ISBN:

9783110206753

3110206757

OCLC:

979954973