Iterative Method for Solving a Beam Equation with Nonlinear Boundary Conditions

Table 2

The convergence in Example 2 for the starting approximation 𝑣₀=0.

𝑁	Number of iterations	||𝑢𝑘−𝑢||𝜔ℎ	2ℎ^2
80	4	0.00026809	0.0003125
100	4	0.000012153	0.0002
140	4	1.0204𝑒−4	3.5739𝑒−5
160	4	7.8125𝑒−5	3.0464𝑒−5
200	4	5𝑒−5	2.7057𝑒−5
250	4	3.2𝑒−5	2.6849𝑒−5