Research Article

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

Table 7

Convergence of the method in Example 4.5 for grid 6 5 × 6 5 .

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

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