Abstract and Applied Analysis

Research Article

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

Table 2

Maximum pointwise error using P-SJG method for 𝑁 = 8 , 1 6 , 2 4 for Example 6.2.
𝑁 𝛼 𝛽 P-SJG 𝛼 𝛽 P-SJG
8 7 . 3 4 6 ⋅ 1 0 − 4 6 . 8 4 8 ⋅ 1 0 − 4
16 1 1 3 . 1 7 3 ⋅ 1 0 − 1 1 1 2 1 2 2 . 6 5 9 ⋅ 1 0 − 1 1
24 1 . 5 3 3 ⋅ 1 0 − 1 2 1 . 0 5 6 ⋅ 1 0 − 1 2
8 6 . 3 6 6 ⋅ 1 0 − 4 4 . 4 5 9 ⋅ 1 0 − 4
16 0 0 1 . 3 6 3 ⋅ 1 0 − 1 1 − 3 4 − 3 4 5 . 5 7 4 ⋅ 1 0 − 1 2
24 2 . 3 1 8 ⋅ 1 0 − 1 2 2 . 6 2 6 ⋅ 1 0 − 1 2