- #1
SeM
Hi, I have that the Laplacian operator for three dimensions of two orders,
\nabla ^2 is:
1/r* d^2/dr^2 (r) + 1/r^2( 1/sin phi d/d phi sin phi d/d phi + 1/sin^2 phi * d^2/d theta^2)
Can this operator be used for a radial system, where r and phi are still valid, but theta absent, by setting theta = 0 ?
so giving:1/r* d^2/dr^2 (r) + 1/r^2( 1/sin phi d/d phi sin phi d/d phi) ?
Does that make sense or is the Laplacian operator of second order in radial (polar) coordinates different?
Thanks
\nabla ^2 is:
1/r* d^2/dr^2 (r) + 1/r^2( 1/sin phi d/d phi sin phi d/d phi + 1/sin^2 phi * d^2/d theta^2)
Can this operator be used for a radial system, where r and phi are still valid, but theta absent, by setting theta = 0 ?
so giving:1/r* d^2/dr^2 (r) + 1/r^2( 1/sin phi d/d phi sin phi d/d phi) ?
Does that make sense or is the Laplacian operator of second order in radial (polar) coordinates different?
Thanks