Abstract
The use of the Fourier transform to obtain a form of solution to a partial differential equation (together with associated boundary conditions) is a very general technique.1 For simple problems, the integral representation obtained as the solution will be amenable to exact analysis; more often the method converts the original problem to the technical matter of evaluating a difficult integral. Numerical methods may be necessary in general, although asymptotic and other useful information may often be obtained directly by appropriate methods. We illustrate some of the more simple problems in this chapter, leaving applications involving mixed boundary values. Green’s functions, and transforms in several variables, to later chapters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K.K. Puri, J. Eng. Math., 4 (1970), 283.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Davies, B. (2002). Partial Differential Equations II. In: Integral Transforms and Their Applications. Texts in Applied Mathematics, vol 41. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9283-5_8
Download citation
DOI: https://doi.org/10.1007/978-1-4684-9283-5_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2950-1
Online ISBN: 978-1-4684-9283-5
eBook Packages: Springer Book Archive