
Chapter 23
Linear Partial Differential
Equations with Mathematica
23.1 In troductio n
23.1.1 Som e Notational Conventions
In this chapter, we use the following conventions introduced in Mathematica:
C[n]
(
n=1,2,...
) stands for arbitrary constants or arbitrary functions.
In general, arbitrary parameters (e.g., F
1
, F
2
, . . . ) can be specified by applying the
option
GeneratedParameters->(Subscript[F,#]&)
of the predefined function
DSolve
.
We also introduce the following notation (where
n=1,2,...
) for Mathematica solu-
tions:
eqn
for equations
pden/oden
for PDEs/ODEs
trn
for transformations
sysn
for systems
ic
,
bc
,
ibc
for initial and/or boundary conditions
listn
for lists