I don't understand where to even start with this problem. This book has ZERO examples. I would appreciate some help.(adsbygoogle = window.adsbygoogle || []).push({});

Show that by a suitable scaling of the space coordinates, the heat equation

[tex]u_{t}=\kappa\left(u_{xx}+u_{yy}+u_{zz}\right)[/tex]

can be reduced to the standard form

[tex]v_{t} = \Delta v [/tex] where u becomes v after scaling. [tex]\Delta [/tex] is the Laplacian operator

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Scaling a PDE

**Physics Forums | Science Articles, Homework Help, Discussion**