Transform Methods for Solving Partial Differential Equations

by Dean G. Duffy

Overview

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 ana

Product Details

ISBN-13:	9781040208960
Publisher:	CRC Press
Publication date:	07/15/2004
Series:	Symbolic & Numeric Computation
Sold by:	Barnes & Noble
Format:	eBook
Pages:	728
File size:	23 MB
Note:	This product may take a few minutes to download.

Table of Contents

The Fundamentals. Methods Involving Single-Valued Transforms. Methods Involving Multivalued Transforms. The Joint Transform Method. The Wiener-Hopf Technique. Worked Solutions to Some of the Problems. Index.

Editorial Reviews

This book provides a detailed account of the application of transform methods to solving linear PDEs in science and engineering. The main techniques studied are the Fourier and Laplace transform, Hankel transforms, and the Wiener-Hopf technique. In this second edition the references have been extended and numerical and asymptotic techniques are included. It provides a valuable source of concrete examples from diverse fields of applications with detailed solutions.”
  — M. Kunzinger

“The discussed solutions typically involve quite difficult algebra, while non-trivial mathematical steps, such as a change of order of integration or expansion into infinite series (product) are not justified. This gives the book more of an ‘engineering’ flavour; nonetheless it is certainly of interest to a wider interest.”
—EMS Newsletter, Sept. 2005

“The book contains many examples and exercises taken from a wide variety of scientific and engineering sources. Also numerical examples are presented using Matlab to help readers for better understanding of the physical problems.”
—Studia Univ. “Babes-Bolyai” Mathematica, Sept. 2005

From the Publisher