Journal of Applied Mathematics

Research Article

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

Table 4

Convergence of the method in Example 4.4 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 6 5 . 4 8 1 5 𝑒 − 4 6 1 . 3 7 0 3 𝑒 − 4 6 3 . 4 2 4 7 𝑒 − 5 4 . 0 0 0 2 4.0012
0.7 7 5 . 0 1 3 6 𝑒 − 4 7 1 . 2 5 5 5 𝑒 − 4 7 3 . 1 5 2 5 𝑒 − 5 3 . 9 9 3 3 3 . 9 8 2 6
1.0 8 4 . 7 1 0 1 𝑒 − 4 8 1 . 1 7 6 3 𝑒 − 4 8 2 . 9 2 5 7 𝑒 − 5 4 . 0 0 4 2 4.0206
1.5 9 4 . 2 9 0 9 𝑒 − 4 9 1 . 0 7 7 0 𝑒 − 4 9 2 . 7 3 4 1 𝑒 − 5 3 . 9 8 4 1 3.9391
2.0 1 0 3 . 9 1 9 1 𝑒 − 4 1 0 9 . 7 2 6 4 𝑒 − 5 1 0 2 . 3 5 8 2 𝑒 − 5 4 . 0 2 9 3 4.1245
2.5 1 1 3 . 6 4 2 0 𝑒 − 4 1 1 9 . 2 1 4 1 𝑒 − 5 1 1 2 . 4 0 7 8 𝑒 − 5 3 . 9 5 2 6 3.8268