Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet

Table 1

The numerical solutions obtained by our method and those obtained by CAS wavelet method when , , .

		Anal. Sol.
			Our method	CAS wavelet	Our method	CAS wavelet	Our method	CAS wavelet
0.2	0.3	0.0036000	0.00362673	0.01527126	0.00360257	0.00471281	0.00360019	0.00382719
	0.6	0.0144000	0.01445390	0.03638127	0.01440370	0.01673180	0.01440048	0.01492319
	0.9	0.0324000	0.03248217	0.07371928	0.03240631	0.03631963	0.03240060	0.03273187
0.5	0.3	0.0225000	0.02253176	0.04872121	0.02250487	0.02826189	0.02250046	0.02293819
	0.6	0.0900000	0.09061074	0.12739812	0.09006721	0.09537428	0.09000059	0.09072347
	0.9	0.2025000	0.20257431	0.25873179	0.20250850	0.20736183	0.20250074	0.20301829
0.8	0.3	0.0576000	0.05765362	0.09381981	0.05760489	0.60121872	0.05760062	0.05830218
	0.6	0.2304000	0.23048904	0.28237189	0.23040790	0.23833829	0.23040074	0.23138192
	0.9	0.5184000	0.51851904	0.60381038	0.51841027	0.52478172	0.51840112	0.51953785