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