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Theory and Modern Applications

Table 3 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

(0.001,130)

1.81e–8

2.20e–8

1.63e–8

9.01e–9

2.04e–9

2.80e–11

(CPU)

(0.153)

(0.296)

(0.602)

(0.862)

(1.423)

(2.850)

SC-SL1

(0.001,130)

3.64e–8

3.11e–8

1.66e–8

8.91e–9

2.03e–9

2.95e–11

(CPU)

(0.126)

(0.247)

(0.486)

(0.737)

(1.216)

(2.407)

SC-SL2

(0.001,130)

1.82e–8

2.20e–8

1.63e–8

9.02e–9

2.04e–9

2.80e–11

(CPU)

(0.121)

(0.241)

(0.487)

(0.730)

(1.206)

(2.402)

SC-SL3

(0.001,130)

1.82e–8

2.20e–8

1.63e–8

9.02e–9

2.04e–9

2.80e–11

(CPU)

(0.120)

(0.237)

(0.461)

(0.695)

(1.167)

(2.323)

CBSLM2 [2]

(0.001,130)

1.18e–7

5.38e–8

3.21e–8

2.37e–8

6.86e–9

1.08e–10

(CPU)

(0.120)

(0.225)

(0.427)

(0.673)

(1.082)

(2.073)

Başhan [5]

(0.001,130)

2.61e–6

1.57e–6

1.01e–6

5.47e–7

1.37e–7

1.02e–8