Abstract and Applied Analysis

Research Article

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

Table 1

Maximum pointwise error using SJG method for 𝑁 = 8 , 1 6 , 2 4 for Example 6.1.
𝑁 𝛼 𝛽 SJG 𝛼 𝛽 SJG
8 1 . 5 4 2 ⋅ 1 0 − 1 8 . 0 9 3 ⋅ 1 0 − 2
16 1 2 1 2 5 . 5 1 3 ⋅ 1 0 − 8 1 2 − 1 2 1 . 6 4 2 ⋅ 1 0 − 8
24 1 . 5 9 8 ⋅ 1 0 − 1 4 4 . 7 0 7 ⋅ 1 0 − 1 4
8 2 . 5 8 1 ⋅ 1 0 − 1 1 . 4 1 7 ⋅ 1 0 − 1
16 − 1 2 1 2 9 . 3 6 9 ⋅ 1 0 − 8 − 1 2 − 1 2 2 . 8 7 5 ⋅ 1 0 − 8
24 1 . 5 0 9 ⋅ 1 0 − 1 4 2 . 5 7 5 ⋅ 1 0 − 1 4