Journal of Applied Mathematics

Research Article

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

Table 6

Convergence of the method in Example 4.4 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 4 . 9 8 4 3 𝑒 − 4 5 1 . 2 4 7 2 𝑒 − 4 5 3 . 1 2 3 2 𝑒 − 5 3 . 9 9 6 4 3.9933
0.7 6 4 . 6 8 3 9 𝑒 − 4 6 1 . 1 6 9 6 𝑒 − 4 6 2 . 9 0 6 7 𝑒 − 5 4 . 0 0 4 7 4 . 0 2 3 8
1.0 7 4 . 4 8 7 1 𝑒 − 4 7 1 . 1 2 2 9 𝑒 − 4 7 2 . 8 1 7 4 𝑒 − 5 3 . 9 9 6 0 3.9856
1.5 8 4 . 1 8 5 2 𝑒 − 4 8 1 . 0 4 4 9 𝑒 − 4 8 2 . 5 9 7 0 𝑒 − 5 4 . 0 0 5 4 4.0235
2.0 9 3 . 9 2 7 8 𝑒 − 4 9 9 . 8 3 6 9 𝑒 − 5 9 2 . 4 7 6 0 𝑒 − 5 3 . 9 9 2 9 3.9729
2.5 9 3 . 7 0 6 8 𝑒 − 4 9 9 . 3 6 3 6 𝑒 − 5 9 2 . 4 3 3 8 𝑒 − 5 3 . 9 5 8 7 3.8473