Abstract and Applied Analysis

Research Article

A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations

Table 3

Maximum pointwise error of 𝑢 − 𝑢 𝑁 for 𝑁 = 1 5 , 1 8 , 2 5 , 3 1 , for Example 5.3.
𝑁 − 5 𝛼 𝛽 Our algorithm In [31] In [32]In [29]In [30]
1 2 1 2 2 . 5 0 ⋅ 1 0 − 6
1000 2 . 2 8 ⋅ 1 0 − 6 0.1570 2 . 2 5 9 3 ⋅ 1 0 − 4 6 . 2 9 8 8 7 ⋅ 1 0 − 5
− 1 2 − 1 2 2 . 0 5 ⋅ 1 0 − 6
1 2 1 2 1 . 3 5 ⋅ 1 0 − 1 0
1300 1 . 1 7 ⋅ 1 0 − 1 0 1 . 3 7 6 7 ⋅ 1 0 − 4 5 . 9 1 7 3 9 ⋅ 1 0 − 5
− 1 2 − 1 2 1 . 0 0 ⋅ 1 0 − 1 0
1 2 1 2 2 . 4 9 ⋅ 1 0 − 1 6
2000 2 . 2 2 ⋅ 1 0 − 1 6 0.0747 1 . 3 3 0 0 ⋅ 1 0 − 5 2 . 1 4 1 1 6 ⋅ 1 0 − 6
− 1 2 − 1 2 1 . 8 7 ⋅ 1 0 − 1 6
1 2 1 2 2 . 2 2 ⋅ 1 0 − 1 6
2600 1 . 1 8 ⋅ 1 0 − 1 6 7 . 1 2 7 3 ⋅ 1 0 − 6 3 . 4 0 7 0 5 ⋅ 1 0 − 7
− 1 2 − 1 2 1 . 9 4 ⋅ 1 0 − 1 6