Abstract and Applied Analysis

Research Article

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

Table 5

Absolute error using SJC method for 𝑁 = 1 4 Example 6.5.
𝑥 𝛼 = − 1 / 2 , 𝛽 = 1 / 2 𝛼 = 0 , 𝛽 = 0 𝛼 = 1 / 2 , 𝛽 = − 1 / 2
0.0 3 . 6 1 3 ⋅ 1 0 − 1 7 6 . 9 1 8 ⋅ 1 0 − 1 8 8 . 4 7 4 ⋅ 1 0 − 1 7
0.1 1 . 1 9 2 ⋅ 1 0 − 1 7 4 . 5 5 3 ⋅ 1 0 − 1 8 2 . 9 3 6 ⋅ 1 0 − 1 6
0.2 2 . 0 8 1 ⋅ 1 0 − 1 7 1 . 3 8 7 ⋅ 1 0 − 1 7 3 . 3 3 0 ⋅ 1 0 − 1 6
0.3 3 . 4 6 9 ⋅ 1 0 − 1 8 5 . 5 5 1 ⋅ 1 0 − 1 7 3 . 4 6 9 ⋅ 1 0 − 1 8
0.4 1 . 3 8 7 ⋅ 1 0 − 1 7 6 . 9 3 8 ⋅ 1 0 − 1 8 2 . 0 8 1 ⋅ 1 0 − 1 7
0.5 4 . 1 6 3 ⋅ 1 0 − 1 7 4 . 1 6 3 ⋅ 1 0 − 1 7 1 . 3 8 7 ⋅ 1 0 − 1 7
0.6 1 . 1 1 0 ⋅ 1 0 − 1 6 1 . 1 1 0 ⋅ 1 0 − 1 6 5 . 5 5 1 ⋅ 1 0 − 1 7
0.7 5 . 5 5 1 ⋅ 1 0 − 1 7 1 . 1 1 0 ⋅ 1 0 − 1 6 5 . 5 5 1 ⋅ 1 0 − 1 7
0.8 5 . 5 5 1 ⋅ 1 0 − 1 7 5 . 5 5 1 ⋅ 1 0 − 1 7 1 . 1 1 0 ⋅ 1 0 − 1 6
0.9 0 1 . 1 1 0 ⋅ 1 0 − 1 6 1 . 1 1 0 ⋅ 1 0 − 1 6
1.0 0 1 . 1 1 0 ⋅ 1 0 − 1 6 1 . 1 1 0 ⋅ 1 0 − 1 6