Finite Element Multigrid Method for the Boundary Value Problem of Fractional Advection Dispersion Equation

Table 1

Experimental error ‖𝑢−𝑢_𝑘‖_𝐿²_(Ω) for different 𝛽.

ℎ𝑘	𝛽=0.3		𝛽=0.6		𝛽=0.9
	Error	Conv. rate	Error	Conv. rate	Error	Conv. rate
1/4	9.3587𝑒−3		8.3460𝑒−3		7.6044𝑒−3
1/8	2.1751𝑒−3	2.1388	1.8444𝑒−3	2.1779	1.6348𝑒−3	2.2177
1/16	5.0679𝑒−4	2.1016	4.1362𝑒−4	2.1568	3.6349𝑒−4	2.1692
1/32	1.1967𝑒−4	2.0823	9.4937𝑒−5	2.1233	8.3872𝑒−5	2.1157
1/64	2.9496𝑒−5	2.0205	2.2629𝑒−5	2.0688	2.0343𝑒−5	2.0436
1/128	7.0818𝑒−6	2.0583	5.4727𝑒−6	2.0478	5.0852𝑒−6	2.0002