Table of Nodal Finite Difference Equations

Table 4.2 in textbook, used with nodal networks.

Configuration	Finite-Difference Equation for Δx = Δy
	(4.29) $T_{m, n + 1} + T_{m, n - 1} + T_{m + 1, n} + T_{m - 1, n} - 4 T_{m, n} = 0$ Case 1. Interior node
	(4.41) $2 (T_{m - 1, n} + T_{m, n + 1}) + (T_{m + 1, n} + T_{m, n - 1}) + 2 \frac{h Δ x}{k} T_{\infty} - 2 (3 + \frac{h Δ x}{k}) T_{m, n} = 0$ Case 2. Node at an internal corner with convection
	(4.42) $(2 T_{m - 1, n} + T_{m, n + 1} + T_{m, n - 1}) + \frac{2 h Δ x}{k} T_{\infty} - 2 (\frac{h Δ x}{k} + 2) T_{m, n} = 0$ a Case 3. Node at a plane surface with convection
	(4.43) $(T_{m, n - 1} + T_{m - 1, n}) + 2 \frac{h Δ x}{k} T_{\infty} - 2 (\frac{h Δ x}{k} + 1) T_{m, n} = 0$ Case 4. Node at an external corner with convection
	(4.44) $(2 T_{m - 1, n} + T_{m, n + 1} + T_{m, n - 1}) + \frac{2 q^{″} Δ x}{k} - 4 T_{m, n} = 0$ b Case 5. Node at a plane surface with uniform heat flux