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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 5 Global relative error for Problem 4 when \(\lambda =6\), \(\mu =0.5\) and \(\nu =-10\)

From: Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto–Sivashinsky equation

t

LBM [25]

QnBS–DQM [6]

Proposed method

n = 600

n = 150

n = 150

Δt = 0.0001

 

Δt = 0.001

1

2.59 × 10−2

2.56 × 10−3

5.14 × 10−4

2

2.80 × 10−2

4.91 × 10−3

1.39 × 10−3

3

2.67 × 10−2

1.11 × 10−2

3.02 × 10−3

4

3.52 × 10−2

1.92 × 10−2

5.03 × 10−3

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