ABSTRACT
The most frequently occurring partial differential equations (PDEs) involving two independent variables are as follows:
Parabolic:
∂ ∂ =
∂ ∂
u
t
u
x
2 one-dimensional unsteady state (8.1)
Elliptic:
∂ ∂
+ ∂ ∂
=
2 0
u
y
u
x two-dimensional steady state (8.2)
Hyperbolic:
∂ ∂
+ ∂ ∂
=
2 0
u
t
u
x vibration of a string (8.3)
In this chapter, only parabolic and elliptic PDEs are considered.
