Abstract and Applied Analysis

Research Article

Numerical Solutions of Odd Order Linear and Nonlinear Initial Value Problems Using a Shifted Jacobi Spectral Approximations

Table 3

Maximum pointwise error using SJG method for 𝑁 = 8 , 1 6 , 2 4 for Example 6.3.
𝑁 𝛼 𝛽 SJG 𝛼 𝛽 SJG
8 3 . 7 4 2 ⋅ 1 0 − 2 2 . 7 8 2 ⋅ 1 0 − 2
16 1 2 1 2 9 . 6 2 9 ⋅ 1 0 − 1 1 1 2 − 1 2 4 . 3 1 9 ⋅ 1 0 − 1 1
24 2 . 2 2 0 ⋅ 1 0 − 1 5 1 . 9 9 8 ⋅ 1 0 − 1 5
8 6 . 0 1 1 ⋅ 1 0 − 2 4 . 6 9 1 ⋅ 1 0 − 2
16 − 1 2 1 2 1 . 7 5 5 ⋅ 1 0 − 1 0 − 1 2 − 1 2 8 . 0 9 5 ⋅ 1 0 − 1 1
24 1 . 4 4 3 ⋅ 1 0 − 1 5 1 . 4 4 3 ⋅ 1 0 − 1 5