ABSTRACT

The solution of partial differential equations can be split into a number of quite

different approaches depending on the types of equations involved. The general

formula for second-order linear PDEs can be written:

=+

+

∂∂

+

D

y

u

C

yx

u

B

x

u

A (16.1)

where x and y can be spatial coordinates, or one in space and one in time.

Furthermore, u will generally be a function of x and y, and A, B, C and D are

constants. The type of problem and therefore the type of solution can be

determined based on the quantity B