Journal of Applied Mathematics

Research Article

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

Table 1

Convergence of the method in Example 4.3 for 𝑎 = 0 .
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 9 . 3 5 2 7 𝑒 − 5 5 2 . 3 4 7 7 𝑒 − 5 3 . 9 9 6 5 3.9838
0.7 6 3 . 4 1 2 5 𝑒 − 4 6 8 . 4 8 5 9 𝑒 − 5 6 2 . 0 7 7 1 𝑒 − 5 4 . 0 2 1 4 4 . 0 8 5 5
1.0 7 3 . 2 1 7 9 𝑒 − 4 7 8 . 0 7 9 3 𝑒 − 5 7 2 . 0 5 5 0 𝑒 − 5 3 . 9 8 2 9 3.9315
1.5 8 2 . 9 1 1 8 𝑒 − 4 8 7 . 2 1 0 1 𝑒 − 5 8 1 . 7 3 3 7 𝑒 − 5 4 . 0 3 8 5 4.1588
2.0 9 2 . 6 9 0 4 𝑒 − 4 9 6 . 8 2 1 5 𝑒 − 5 9 1 . 8 0 1 3 𝑒 − 5 3 . 9 4 4 0 3.7870
2.5 10 2 . 4 5 6 1 𝑒 − 4 1 0 6 . 0 2 4 7 𝑒 − 5 1 0 1 . 3 9 0 9 𝑒 − 5 4 . 0 7 6 7 4.3315