Research Article

Iterative Method for Solving the Second Boundary Value Problem for Biharmonic-Type Equation

Table 5

Convergence of the method in Example 4.4 for 𝑎 = 0 . 5 .

𝑏 Grid 6 5 × 6 5 Grid 1 2 9 × 1 2 9 Grid 2 5 7 × 2 5 7
𝐸 1 / 𝐸 2

𝐸 2 / 𝐸 3
𝑘 𝐸 1 𝑘 𝐸 2 𝑘 𝐸 3

0.35 5 . 1 8 7 5 𝑒 4 5 1 . 2 9 8 5 𝑒 4 5 3 . 2 5 8 9 𝑒 5 3 . 9 9 5 0 3.9845
0.77 4 . 8 2 0 9 𝑒 4 7 1 . 2 0 6 1 𝑒 4 7 3 . 0 1 8 4 𝑒 5 3 . 9 9 7 1 3 . 9 9 5 8
1.07 4 . 5 8 4 6 𝑒 4 7 1 . 1 4 9 5 𝑒 4 7 2 . 9 0 6 7 𝑒 5 3 . 9 8 8 3 3.9547
1.58 4 . 2 2 1 3 𝑒 4 8 1 . 0 4 9 8 𝑒 4 8 2 . 5 6 8 7 𝑒 5 4 . 0 2 1 1 4.0869
2.09 3 . 9 3 6 2 𝑒 4 9 9 . 9 0 9 9 𝑒 5 9 2 . 5 4 5 8 𝑒 5 3 . 9 7 2 0 3.8926
2.510 3 . 6 5 5 5 𝑒 4 1 0 9 . 0 7 0 9 𝑒 5 1 0 2 . 1 9 4 5 𝑒 5 4 . 0 2 9 9 4.1335