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Theory and Modern Applications

Table 2 Comparison of \(\mathrm{E}_{\infty}(u,t)\) for Example 2 with \((h,J)\) at different times t

From: Algorithms for coupled Burgers’ equations by sharing characteristic curves within BSLM

Method

(h,J)

t = 0.5

t = 1.0

t = 2.0

t = 3.0

t = 5.0

t = 10.0

CBSLM3

(0.01,100)

4.27e–7

2.60e–7

5.12e–8

5.70e–9

6.30e–9

1.41e–10

(CPU)

(0.014)

(0.027)

(0.053)

(0.075)

(0.130)

(0.253)

SC-SL1

(0.01,100)

1.04e–5

2.67e–6

3.38e–7

1.10e–7

9.32e–9

4.53e–10

(CPU)

(0.011)

(0.022)

(0.043)

(0.063)

(0.106)

(0.205)

SC-SL2

(0.01,100)

4.03e–7

2.45e–7

4.56e–8

8.11e–9

6.66e–9

1.44e–10

(CPU)

(0.011)

(0.021)

(0.042)

(0.061)

(0.108)

(0.205)

SC-SL3

(0.01,100)

3.91e–7

2.38e–7

4.29e–8

9.36e–9

6.84e–9

1.45e–10

(CPU)

(0.011)

(0.021)

(0.041)

(0.061)

(0.102)

(0.204)

CBSLM2 [2]

(0.01,100)

1.01e–5

6.45e–6

4.68e–6

3.25e–6

8.89e–7

1.36e–8

(CPU)

(0.010)

(0.0189)

(0.037)

(0.052)

(0.080)

(0.158)

Mohanty [16]

(0.01,100)

2.51e–6

3.04e–6

2.24e–6

1.24e–6

Zhang [21]

(0.01,100)

2.53e–6

3.07e–6

2.26e–6

1.25e–6

Başhan [5]

(0.01,190)

1.90e–6

2.25e–6

1.68e–6

9.62e–7

2.40e–7

1.67e–8