Skip to main content

Theory and Modern Applications

Table 4 Comparison between C–N high-order finite difference method and HEGM for Example 2 when \(\gamma =0.75\)

From: A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid

h/τ

Iteration

Time

Maximum error

Average error

HEGM

C–N

HEGM

C–N

HEGM

C–N

HEGM

C–N

\(h=\tau =\frac{1}{10}\)

41

39

17.39

15.67

1.0025 ×10−2

1.0025 ×10−2

2.7431 ×10−3

2.7423 ×10−3

\(h=\tau =\frac{1}{18}\)

36

45

164.84

196.07

5.4258 ×10−3

5.4142 ×10−3

1.5410 ×10−3

1.5363 ×10−3

\(h=\tau =\frac{1}{22}\)

36

41

387.83

421.71

4.4612 ×10−3

4.4652 ×10−3

1.2528 ×10−3

1.2530 ×10−3

\(h=\tau =\frac{1}{30}\)

37

37

1602.14

1810.40

3.3128 ×10−3

3.3150 ×10−3

9.1139 ×10−4

9.1040 ×10−4