Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations

Table 1

This table shows the absolute error between the approximate solutions (32), (38) and the approximate solution in [34] when 𝑡=0.01 and 0<𝑥<1.

𝑥	𝑢HPM obtained by [34]	abs (𝑢FHPM)	abs (𝑢FVIM)	|𝑢HPM−𝑢FHPM|	|𝑢HPM−𝑢FVIM|
0.1	0.9212939744	0.9213768401	0.8630626710	8.2×10^−5	1.32×10^−1
0.2	0.8324061770	0. 8324750384	0.7892687927	6.8×10^−5	4.31×10^−2
0.3	0.7522920995	0.7523498752	0.7203427038	5.7×10^−5	3.19×10^−2
0.4	0.6800351886	0.6800841082	0.6563771349	4.8×10^−5	2.36×10^−2
0.5	0.6148272679	0.6148690447	0.5973128723	4.1×10^−5	1.75×10^−2
0.6	0.5559527414	0.5559886997	0.5429899342	3.5×10^−5	1.29×10^−2
0.7	0.5027757211	0.5028068923	0.4931844956	3.1×10^−5	9.59×10^−3
0.8	0.4547294332	0.4547566267	0.4476353171	2.7×10^−5	7.09×10^−3
0.9	0.4113074114	0.4113312679	0.4060624384	2.3×10^−5	5.24×10^−3
1	0.3720561063	0.3720771372	0.3681802017	2.1×10^−5	3.87×10^−3