Research Article
Numerical Investigation of the Time-Fractional Whitham–Broer–Kaup Equation Involving without Singular Kernel Operators
Table 3
HPTM 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) | 1.04892 × 10−4 | 1.23033 × 10−4 | 1.07078 × 10−4 | 1.67111 × 10−12 | | (0.1, 0.3) | 9.64474 × 10−5 | 3.69597 × 10−4 | 3.04565 × 10−4 | 4.51196 × 10−11 | | (0.1, 0.5) | 8.88312 × 10−5 | 6.16873 × 10−4 | 4.81303 × 10−4 | 2.08888 × 10−10 | | (0.2, 0.1) | 4.25408 × 10−4 | 1.19869 × 10−4 | 1.04388 × 10−4 | 1.57879 × 10−12 | | (0.2, 0.3) | 3.91098 × 10−4 | 3.60098 × 10−4 | 2.97260 × 10−4 | 4.26227 × 10−11 | | (0.2, 0.5) | 3.60161 × 10−4 | 6.01006 × 10−4 | 4.70138 × 10−4 | 1.97328 × 10−10 | | (0.3, 0.1) | 9.71922 × 10−4 | 1.16789 × 10−4 | 1.01776 × 10−4 | 1.49181 × 10−12 | | (0.3, 0.3) | 8.93309 × 10−4 | 3.50866 × 10−4 | 2.90150 × 10−4 | 4.02799 × 10−11 | | (0.3, 0.5) | 8.22452 × 10−4 | 5.85610 × 10−4 | 4.59590 × 10−4 | 1.86481 × 10−10 | | (0.4, 0.1) | 1.75596 × 10−3 | 1.13829 × 10−4 | 9.92418 × 10−5 | 1.41043 × 10−12 | | (0.4, 0.3) | 1.61430 × 10−3 | 3.41948 × 10−4 | 2.83229 × 10−4 | 3.80803 × 10−11 | | (0.4, 0.5) | 1.48578 × 10−3 | 5.70710 × 10−4 | 4.49118 × 10−4 | 1.76298 × 10−10 | | (0.5, 0.1) | 2.79519 × 10−3 | 1.10936 × 10−4 | 9.67808 × 10−4 | 1.33388 × 10−12 | | (0.5, 0.3) | 2.56714 × 10−3 | 3.33274 × 10−4 | 2.76492 × 10−4 | 3.60145 × 10−11 | | (0.5, 0.5) | 2.36184 × 10−3 | 5.56235 × 10−4 | 4.38895 × 10−4 | 1.66734 × 10−10 |
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