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Partial differential equations : analytical solution techniques / J. Kevorkian

By: Material type: TextTextSeries: Texts in applied mathematics ; 35Publication details: New York : Springer, ©2000.Description: xi, 636 pages : illustrations ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0534981801 (paperback)
  • 9780534981808 (paperback)
Subject(s): DDC classification:
  • 515.353 21
LOC classification:
  • QA377 .K48 2000
Contents:
1. The diffusion equation -- 2. Laplace's Equation -- 3. The wave equation -- 4. Linear second-order equations with two independent variables -- 5. The Scalar quasilinear first-order equation -- 6. Nonlinear first-order equations -- 7. Quasilinear hyperbolic systems -- 8. Approximate solutions by perturbation methods -- Appendices: -- 1. Review of Green's function for ODEs using the Dirac delta function -- 2. Review of Fourier and Laplace transforms -- 3. Review of asymptotic expansions
Review: "This book contains a broad treatment of partial differential equations that arise in the sciences and engineering, particularly emphasizing the analytical solution techniques. In each chapter the author discusses the important applications that lead to the class of equations to be studied, presents different methods for tackling these equations, and concludes with a selection of instructive problems. A relevant bibliography has also been included at the end of this book." "Students and researchers in the sciences and engineering will find this book useful."--Jacket
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Holdings
Item type Current library Collection Call number Status Notes Date due Barcode Item holds
Books Books Junaid Zaidi Library, COMSATS University Islamabad Ground Floor Books 515.353 KEV-P 63569 (Browse shelf(Opens below)) Available Paperback. 10001000063569
Total holds: 0

Includes bibliographical references (pages 617-619) and index

1. The diffusion equation -- 2. Laplace's Equation -- 3. The wave equation -- 4. Linear second-order equations with two independent variables -- 5. The Scalar quasilinear first-order equation -- 6. Nonlinear first-order equations -- 7. Quasilinear hyperbolic systems -- 8. Approximate solutions by perturbation methods -- Appendices: -- 1. Review of Green's function for ODEs using the Dirac delta function -- 2. Review of Fourier and Laplace transforms -- 3. Review of asymptotic expansions

"This book contains a broad treatment of partial differential equations that arise in the sciences and engineering, particularly emphasizing the analytical solution techniques. In each chapter the author discusses the important applications that lead to the class of equations to be studied, presents different methods for tackling these equations, and concludes with a selection of instructive problems. A relevant bibliography has also been included at the end of this book." "Students and researchers in the sciences and engineering will find this book useful."--Jacket

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