Abstract and Applied Analysis

Research Article

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

Table 1

Maximum pointwise error using JDPG method for 𝑁 = 8 , 1 6 , 2 4 , for Example 5.1.
𝑁 𝛼 𝛽 JDPG 𝛼 𝛽 JDPG
8 8 . 2 7 8 ⋅ 1 0 − 2 3 . 6 4 5 ⋅ 1 0 − 2
16 1 2 1 2 1 . 4 0 4 ⋅ 1 0 − 1 1 − 1 2 1 2 3 . 3 6 8 ⋅ 1 0 − 1 2
24 1 . 2 4 9 ⋅ 1 0 − 1 6 2 . 2 2 0 ⋅ 1 0 − 1 6
8 1 . 1 6 5 ⋅ 1 0 − 1 5 . 6 4 4 ⋅ 1 0 − 2
16 1 2 − 1 2 2 . 4 3 9 ⋅ 1 0 − 1 1 − 1 2 − 1 2 6 . 3 1 1 ⋅ 1 0 − 1 2
24 2 . 2 2 0 ⋅ 1 0 − 1 6 2 . 2 2 0 ⋅ 1 0 − 1 6