Transform methods for solving partial differential equations / Dean G. Duffy.

Author
Duffy, Dean G. [Browse]
Format
Book
Language
English
Εdition
2nd ed.
Published/​Created
Boca Raton : Chapman & Hall/CRC, ©2004.
Description
xvii, 708 p. : ill. ; 25 cm.

Availability

Copies in the Library

Location Call Number Status Location Service Notes
Lewis Library - Stacks QA403.5 .D84 2004 Browse related items Request

    Details

    Subject(s)
    Summary note
    Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found analytically, numeric and asymptotic techniques now exist for their inversion, and because the problem retains some of its analytic aspect, one can gain greater physical insight than typically obtained from a purely numerical approach. This book illustrates the use of Laplace, Fourier, and Hankel transforms to solve partial differential equations encountered in science and engineering.
    Bibliographic references
    Includes bibliographical references and index.
    Contents
    • 1. The fundamentals
    • 2. Methods involving single-valued laplace transforms
    • 3. Methods involving single-valued fourier and hankel transforms
    • 4. Methods involving multivalued laplace transforms
    • 5. Methods involving multivalued fourier transforms
    • 6. The joint transform method
    • 7. The Wiener-Hopf technique.
    ISBN
    • 1584884517 ((alk. paper))
    • 9781584884514 ((alk. paper))
    LCCN
    2004049448
    OCLC
    55044706
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