Research Article
Numerical Investigation of the Time-Fractional Whitham–Broer–Kaup Equation Involving without Singular Kernel Operators
Table 4
Comparison of different methods for the approximate solution of Example
1.
| | Absolute error of ADM | Absolute error of VIM | Absolute error of OHAM | Absolute error HPTM |
| | (0.1, 0.1) | 6.41419 × 10−3 | 1.10430 × 10−4 | 5.86860 × 10−5 | 3.28081 × 10−12 | | (0.1, 0.3) | 5.99783 × 10−3 | 3.31865 × 10−4 | 3.04565 × 10−4 | 8.85812 × 10−11 | | (0.1, 0.5) | 5.61507 × 10−3 | 5.54071 × 10−4 | 3.08812 × 10−4 | 4.10099 × 10−10 | | (0.2, 0.1) | 1.33181 × 10−2 | 1.07016 × 10−4 | 5.56884 × 10−5 | 3.07768 × 10−12 | | (0.2, 0.3) | 1.24441 × 10−2 | 3.21601 × 10−4 | 2.97260 × 10−4 | 8.30963 × 10−11 | | (0.2, 0.5) | 1.16416 × 10−2 | 5.36927 × 10−4 | 2.92626 × 10−4 | 3.84706 × 10−10 | | (0.3, 0.1) | 2.07641 × 10−2 | 1.03737 × 10−4 | 5.28609 × 10−5 | 2.88849 × 10−12 | | (0.3, 0.3) | 1.93852 × 10−2 | 3.11737 × 10−4 | 2.90150 × 10−4 | 7.79908 × 10−11 | | (0.3, 0.5) | 1.81209 × 10−2 | 5.20447 × 10−4 | 2.77382 × 10−4 | 3.6107 × 10−10 | | (0.4, 0.1) | 2.88100 × 10−2 | 1.00579 × 10−4 | 5.01929 × 10−5 | 2.71246 × 10−12 | | (0.4, 0.3) | 2.68724 × 10−2 | 3.02245 × 10−4 | 2.83229 × 10−4 | 7.32356 × 10−11 | | (0.4, 0.5) | 2.50985 × 10−2 | 5.04593 × 10−4 | 2.63019 × 10−4 | 3.39055 × 10−10 | | (0.5, 0.1) | 3.75193 × 10−2 | 9.75385 × 10−5 | 4.76741 × 10−5 | 2.54828 × 10−12 | | (0.5, 0.3) | 3.49617 × 10−2 | 2.93107 × 10−4 | 2.76492 × 10−4 | 6.88039 × 10−11 | | (0.5, 0.5) | 3.26239 × 10−2 | 4.89335 × 10−4 | 2.49480 × 10−4 | 3.18537 × 10−10 |
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