Research Article

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

Table 2

Convergence of the method in Example 4.3 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 . 3 5 3 . 7 3 7 8 𝑒 4 5 8 . 5 2 9 1 𝑒 5 5 2 . 1 3 5 4 𝑒 5 3 . 9 9 9 0 3.9941
0.7 6 3 . 4 1 2 5 𝑒 4 6 7 . 9 0 9 7 𝑒 5 6 1 . 9 6 4 8 𝑒 5 4 . 0 0 6 9 4 . 0 2 5 7
1.0 7 3 . 2 1 7 9 𝑒 4 7 7 . 5 4 1 5 𝑒 5 7 1 . 8 9 3 8 𝑒 5 3 . 9 9 5 9 3.9822
1.5 8 2 . 9 1 1 8 𝑒 4 8 6 . 9 3 1 6 𝑒 5 8 1 . 7 1 8 4 𝑒 5 4 . 0 0 8 6 4.0338
2.0 9 2 . 6 9 0 4 𝑒 4 9 6 . 4 7 8 2 𝑒 5 9 1 . 6 3 7 4 𝑒 5 3 . 9 8 9 2 3.9564
2.5 9 2 . 4 5 6 1 𝑒 4 9 6 . 1 5 2 1 𝑒 5 9 1 . 6 3 4 0 𝑒 5 3 . 9 3 7 8 3.7651