Abstract and Applied Analysis

Research Article

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

Table 2

Maximum pointwise error using JDPG method for 𝑁 = 1 2 , 2 4 , 3 6 , for Example 5.2.
𝑁 𝛼 𝛽 𝛾 1 𝛾 2 𝛾 3 JDPG 𝛾 1 𝛾 2 𝛾 3 JDPG
12 3 . 2 9 4 ⋅ 1 0 − 1 9 . 1 1 7 ⋅ 1 0 − 1
24 1 2 1 2 1 1 1 2 . 6 5 0 ⋅ 1 0 − 1 3 𝑁 𝑁 2 𝑁 3 1 . 0 5 2 ⋅ 1 0 − 1 0
36 2 . 1 1 6 ⋅ 1 0 − 1 6 4 . 7 7 0 ⋅ 1 0 − 1 6
12 3 . 0 2 4 ⋅ 1 0 − 1 8 . 3 6 6 ⋅ 1 0 − 1
24 0 0 111 1 . 9 8 2 ⋅ 1 0 − 1 3 𝑁 𝑁 2 𝑁 3 7 . 9 4 7 ⋅ 1 0 − 1 1
36 3 . 0 5 3 ⋅ 1 0 − 1 6 3 . 0 5 3 ⋅ 1 0 − 1 6
12 2 . 7 4 8 ⋅ 1 0 − 1 7 . 5 9 8 ⋅ 1 0 − 1
24 − 1 2 − 1 2 1 11 1 . 4 3 7 ⋅ 1 0 − 1 3 𝑁 𝑁 2 𝑁 3 5 . 8 2 8 ⋅ 1 0 − 1 1
36 2 . 1 1 6 ⋅ 1 0 − 1 6 1 . 3 8 7 ⋅ 1 0 − 1 6