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

Table 2

Comparisons for solving Example 30 with 𝛽=0.7 by the GE method, the CGNR method, and the FV-MGM, respectively.

ℎ𝑘	FVMGM	GE		CGNR			FVMGM
	Error	CPU(s)	𝑅cpu	Iter	CPU(s)	𝑅cpu	Iter = 𝑛𝑘	CPU(s)	𝑅cpu
1/128	2.0270𝑒−5	0.0313		29	0.0000		4	0.0000
1/256	1.3811𝑒−5	0.0625	0.995	46	0.0156		5	0.0156
1/512	1.1507𝑒−5	0.1719	1.451	72	0.0313	0.999	5	0.0469	1.579
1/1024	1.1101𝑒−5	0.5156	1.580	112	0.2187	2.796	3	0.1250	1.417
1/2048	1.1002𝑒−5	2.5000	2.274	174	1.5625	2.833	1	0.2688	1.103
1/4096	1.0849𝑒−5	15.484	2.627	270	9.2031	2.554	1	0.5719	1.088