Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients

Table 1

Numerical values when 𝛼=1.5, 1.75, and 2.0 for (34).

𝑥	𝛼=1.5		𝛼=1.75		𝛼=2
	𝑢HPM	𝑢VIM	𝑢HPM	𝑢VIM	𝑢HPM	𝑢VIM	𝑢Exact
0.1	0.000144	0.000141	0.000139	0.000139	0.000136	0.000136	0.000136
0.2	0.001149	0.001127	0.034155	0.001108	0.001089	0.001089	0.001089
0.3	0.003867	0.003793	0.003740	0.003729	0.003668	0.003668	0.003667
0.4	0.009134	0.008960	0.007492	0.008809	0.008663	0.008664	0.008664
0.5	0.017759	0.017421	0.017175	0.017128	0.016845	0.016844	0.016845
0.6	0.030519	0.029939	0.029516	0.029435	0.028949	0.028948	0.028948
0.7	0.048149	0.047233	0.046566	0.046438	0.045671	0.045671	0.045671
0.8	0.071336	0.069978	0.068989	0.068801	0.067663	0.067663	0.067663
0.9	0.100708	0.098792	0.097396	0.097130	0.095524	0.095524	0.095524