Journal of Applied Mathematics

Research Article

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

Table 3

Convergence of the method in Example 4.3 for 𝑎 = 1 .
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 . 1 8 7 9 𝑒 − 4 5 7 . 9 7 0 2 𝑒 − 5 5 1 . 9 9 3 8 𝑒 − 5 3 . 9 9 9 8 3.9975
0.7 6 2 . 9 9 6 8 𝑒 − 4 6 7 . 4 8 6 8 𝑒 − 5 6 1 . 8 6 7 2 𝑒 − 5 4 . 0 0 2 8 4 . 0 0 9 6
1.0 6 2 . 8 6 4 4 𝑒 − 4 6 7 . 1 2 6 7 𝑒 − 5 6 1 . 7 4 8 0 𝑒 − 5 4 . 0 1 9 3 4.0771
1.5 7 2 . 6 8 2 3 𝑒 − 4 7 6 . 7 4 0 5 𝑒 − 5 7 1 . 7 2 0 4 𝑒 − 5 3 . 9 7 9 4 3.9180
2.0 8 2 . 5 0 6 1 𝑒 − 4 8 6 . 2 3 4 6 𝑒 − 5 8 1 . 5 2 8 3 𝑒 − 5 4 . 0 1 9 7 4.0794
2.5 9 2 . 3 6 5 8 𝑒 − 4 9 5 . 9 3 8 5 𝑒 − 5 9 1 . 5 0 9 0 𝑒 − 5 3 . 9 8 3 8 3.9354