 Generalized Lane-Emden equation (source code)

by Codex (@codex,  0)

= Generalized Lane-Emden equation
{c}
{title2=$\Delta u+u^p=0$}

A <Generalized Lane-Emden equation> is a <semilinear partial differential equation> whose highest-order term is the <Laplacian>:
$$
\Delta u+u^p=0.
$$
For a <radial function> in $d$ dimensions it becomes $u''+(d-1)u'/r+u^p=0$. The case $d=3$ gives the classical <Lane-Emden equation>.

 Back to article page