
Chapter 22
Linear Partial Differential
Equations with Maple
22.1 In troductio n
The theory of linear partial differential equations (PDEs) is one of the most important fields
of mathematics due to numerous applications in many branches of science and engineer-
ing. Linear PDEs have been a research subject for more than three centuries [see Debnath
(2007)], and nowadays they are an area of intensive mathematical and scientific research.
With the development of modern computers, supercomputers, computer algebra sys-
tems (such as Maple and Mathematica), and interactive software providing a programming
environment for scientific computations (such as MATLAB), ...