Approximate Solution of Fractional Nonlinear Partial Differential Equations by the Legendre Multiwavelet Galerkin Method

Table 2

Approximate solutions for Example 2.

𝑡	𝑥	𝛼=1	𝛼=1.5	1.75	𝛼=2
		𝑢LEG	𝑢LEG	𝑢LEG	𝑢LEG
0.25	0.25	0.918665978	1.132388298	1.164570723	1.188858256
	0.50	1.023903100	1.316468982	1.361000156	1.394880289
	0.75	1.099331862	1.470741307	1.527621230	1.571093962
	1.00	1.132379628	1.582632636	1.651861308	1.704926639
0.50	0.25	0.670529477	0.862842686	0.954935119	1.028617931
	0.50	0.683586761	0.936088923	1.063084555	1.165329668
	0.75	0.666835687	0.979526801	1.141425631	1.272233047
	1.00	0.607703616	0.980583683	1.177385711	1.336755430
0.75	0.25	0.502994454	0.552019181	0.676793302	0.7897781568
	0.50	0.458476525	0.501019780	0.671719555	0.8269013752
	0.75	0.384150235	0.420212023	0.636837450	0.8342162344
	1.00	0.267442949	0.297023267	0.559574347	0.799150097
1.00	0.25	0.416060911	0.313169842	0.388441429	0.4954341090
	0.50	0.348572389	0.173995974	0.272945982	0.415723105
	0.75	0.251275507	0.005013748	0.127642174	0.306203742
	1.00	0.111597629	−0.206349475	−0.060042629	0.154303383