A New Legendre Collocation Method for Solving a Two-Dimensional Fractional Diffusion Equation

Table 4

Maximum absolute errors for problem (46) for 𝑇=1 and 𝜈₁=𝜈₂=1.5.

𝑥	𝑦	𝑡	𝐸(𝑥,𝑦,𝑡)	𝑥	𝑦	𝑡	𝐸(𝑥,𝑦,𝑡)	𝑥	𝑦	𝑡	𝐸(𝑥,𝑦,𝑡)
0.1	0.1	1	4.06522×10^−16	0.1	0.5	1	7.05989×10^−15	0.1	1	1	2.35055×10^−15
0.2			3.12066×10^−15	0.2			7.445×10^−15	0.2		1	6.63792×10^−15
0.3			4.22817×10^−15	0.3			1.73386×10^−15	0.3		1	6.92588×10^−15
0.4			8.7365×10^−15	0.4			4.25354×10^−15	0.4		1	1.70948×10^−14
0.5			1.40339×10^−14	0.5			1.56351×10^−14	0.5		1	2.83974×10^−14
0.6			1.81075×10^−14	0.6			1.14631×10^−14	0.6		1	3.44343×10^−14
0.7			2.69246×10^−14	0.7			1.8454×10^−14	0.7		1	5.44946×10^−14
0.8			3.42964×10^−14	0.8			3.14054×10^−14	0.8		1	6.78416×10^−14
0.9			4.3951×10^−14	0.9			2.78319×10^−14	0.9		1	9.03513×10^−14
1			3.1379×10^−15	1			1.20095×10^−14	1		1	1.0103×10^−14