Laplace€™s equation in polar coordinates, Eq. (8.11), is complicated by the variable radius r. Consider the finite difference mesh in Fig. P8.106, with nodes (i, j) at equally spaced Δθ and Δr. Derive a finite-difference model for Eq. (8.11) similar to our Cartesian expression in Eq. (8.109).

Transcribed Image Text:

i,j+1 Vo i.j Ar