Research Article
Numerical Investigation of the Time-Fractional Whitham–Broer–Kaup Equation Involving without Singular Kernel Operators
Table 1
HPTM for the approximate solution of Example
1.
| | at | at | at | Exact solution |
| (0.1, 0.1) | −0.500817 | −0.500795 | −0.500782 | −0.500782 | (0.1, 0.3) | −0.500853 | −0.500829 | −0.50081 | −0.50081 | (0.1, 0.5) | −0.500878 | −0.500857 | −0.500837 | −0.500837 | (0.2, 0.1) | −0.49812 | −0.498098 | −0.498085 | −0.498085 | (0.2, 0.3) | −0.498154 | −0.498131 | −0.498112 | −0.498112 | (0.2, 0.5) | −0.498178 | −0.498158 | −0.498139 | −0.498139 | (0.3, 0.1) | −0.495491 | −0.49547 | −0.495458 | −0.495458 | (0.3, 0.3) | −0.495525 | −0.495502 | −0.495484 | −0.495484 | (0.3, 0.5) | −0.495548 | −0.495529 | −0.49551 | −0.49551 | (0.4, 0.1) | −0.49293 | −0.492909 | −0.492897 | −0.492897 | (0.4, 0.3) | −0.492963 | −0.49294 | −0.492922 | −0.492922 | (0.4, 0.5) | −0.492985 | −0.492966 | −0.492948 | −0.492948 | (0.5, 0.1) | −0.490433 | −0.490413 | −0.490401 | −0.490401 | (0.5, 0.3) | −0.490465 | −0.490443 | −0.490426 | −0.490426 | (0.5, 0.5) | −0.490487 | −0.490469 | −0.490451 | −0.490451 |
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