Iterative Method for Solving a Beam Equation with Nonlinear Boundary Conditions

Table 1

The convergence in Example 1 for the starting approximation 𝑣₀=0.

𝑁	Number of iterations	||𝑢𝑘−𝑢||𝜔ℎ	ℎ^2
80	16	8.4293𝑒−5	1.5625𝑒−4
100	16	6.8623𝑒−5	1.0𝑒−4
150	18	3.2021𝑒−5	4.4444𝑒−5
200	20	3.586𝑒−6	2.5𝑒−5
250	22	1.3269𝑒−5	1.6𝑒−5