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.
Transform Methods for Solving Partial Differential Equations, Second Edition
illustrates the use of Laplace, Fourier, and Hankel transforms to solve
partial differential equations encountered in science and engineering.
The author has expanded the second edition to provide a broader
perspective on the applicability and use of transform methods and
incorporated a number of significant refinements.
Title : Transform methods for solving partial differential equations
author(s) : Dean G. Duffy
size : 6.1 Mb
file type : DJVU
please if the url of download is not work , informed me by comment and thank you