Solving Fractional-Order Diffusion Equations in a Plasma and Fluids via a Novel Transform

Table 1

comparison of exact solution, our methods’ solution, and Absolute Error (AE) of Example 1.

	Absolute error	Absolute error	Exact solution	Our methods’ solution	Absolute error
0	5.2118400000E-04	5.0962000000E-05	1.0100501670000	1.0100501670000	0.00000000E+00
0.1	5.7599800000E-04	5.6322000000E-05	1.1162780700000	1.1162780700000	0.00000000E+00
0.2	6.3657500000E-04	6.2245000000E-05	1.2336780600000	1.2336780600000	0.00000000E+00
0.3	7.0352500000E-04	6.8792000000E-05	1.3634251140000	1.3634251140000	0.00000000E+00
0.4	7.7751600000E-04	7.6027000000E-05	1.5068177850000	1.5068177850000	0.00000000E+00
0.5	8.5928700000E-04	8.4022000000E-05	1.6652911950000	1.6652911950000	0.00000000E+00
0.6	9.4965800000E-04	9.2858000000E-05	1.8404313990000	1.8404313980000	1.00000000E-09
0.7	1.0495350000E-03	1.0262400000E-04	2.0339912590000	2.0339912580000	1.00000000E-09
0.8	1.1599150000E-03	1.1341700000E-04	2.2479079870000	2.2479079860000	1.00000000E-09
0.9	1.2819060000E-03	1.2534600000E-04	2.4843225330000	2.4843225330000	0.00000000E+00
1.0	1.4167240000E-03	1.3852800000E-04	2.7456010150000	2.7456010140000	1.00000000E-09