Research Article

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

Table 8

Convergence of the method in Example 4.5 for grid 1 2 9 × 1 2 9 .

𝑏 𝑎 = 0 𝑎 = 0 . 5 𝑎 = 1
𝑘 error 𝑘 error 𝑘 error

0.3 5 7 . 7 9 3 9 𝑒 9 5 3 . 7 0 9 4 𝑒 9 5 1 . 9 4 3 7 𝑒 9
0.7 6 1 . 7 6 7 9 𝑒 8 5 2 . 3 9 0 1 𝑒 7 5 1 . 2 6 3 0 𝑒 7
1.0 6 1 . 3 9 3 5 𝑒 7 6 5 . 8 5 7 9 𝑒 8 6 2 . 7 4 7 6 𝑒 8
1.5 7 1 . 0 2 3 1 𝑒 7 7 3 . 8 0 0 9 𝑒 8 6 2 . 8 4 7 4 𝑒 7
2.0 7 6 . 6 3 3 8 𝑒 7 7 2 . 5 1 0 9 𝑒 7 7 1 . 0 7 0 1 𝑒 7
2.5 8 3 . 1 9 6 8 𝑒 7 8 1 . 0 7 7 3 𝑒 7 7 4 . 5 7 4 4 𝑒 7