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Theory and Modern Applications

Table 4 The time costs of Explicit–Implicit Method and Newton Method when \(T=2\)

From: A Galerkin FEM for Riesz space-fractional CNLS

α

τ,h

Algorithm

CPU time (s)

α = 0.55

0.04,0.1

Explicit–Implicit Method

41.82

 

0.04,0.1

Newton Method

105.04

α = 0.75

0.025,0.05

Explicit–Implicit Method

504.05

 

0.025,0.05

Newton Method

977.68

α = 0.95

0.02,0.03125

Explicit–Implicit Method

2212.33

 

0.02,0.03125

Newton Method

5809.25