Research Article
Numerical Solutions for the Eighth-Order Initial and Boundary Value Problems Using the Second Kind Chebyshev Wavelets
Table 3
Comparison of numerical results for Example
2.
| | Exact solution | Absolute error , | Absolute error , | Absolute error , | Absolute error reported in [5] |
| 0.1 | 0.994653826268083 | 3.44169e − 15 | 7.77156e − 16 | 1.11022e − 16 | 2.55072e − 9 | 0.2 | 0.977122206528136 | 1.97619e − 13 | 4.16333e − 14 | 1.11022e − 16 | 2.83738e − 9 | 0.3 | 0.944901165303202 | 2.00095e − 12 | 4.30100e − 13 | 0 | 3.12018e − 9 | 0.4 | 0.895094818584762 | 9.89686e − 12 | 2.17337e − 12 | 0 | 3.39829e − 9 | 0.5 | 0.824360635350064 | 3.28992e − 11 | 7.36377e − 12 | 0 | 3.67096e − 9 | 0.6 | 0.728847520156204 | 8.43374e − 11 | 1.92198e − 11 | 0 | 3.93756e − 9 | 0.7 | 0.604125812241143 | 1.78625e − 10 | 4.14863e − 11 | 1.11022e − 16 | 4.19756e − 9 | 0.8 | 0.445108185698493 | 3.22716e − 10 | 7.68903e − 11 | 3.88578e − 16 | 4.45065e − 9 | 0.9 | 0.245960311115695 | 4.97527e − 10 | 1.24352e − 10 | 7.77156e − 16 | 4.69673e − 9 |
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