Skip to main content
Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Global relative error for Problem 1 when \(\lambda =5\) and \(\nu =-12\)

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

t

LBM [25]

QnBSM [27]

ExCBSM [31]

QnBS–DQM [6]

Proposed method

n = 600

n = 150

n = 150

n = 150

n = 100

Δt = 0.0001

Δt = 0.01

Δt = 0.01

 

Δt = 0.01

1

6.79 × 10−4

3.82 × 10−4

3.33 × 10−4

2.40 × 10−4

2.50 × 10−5

2

1.15 × 10−3

5.51 × 10−4

5.56 × 10−4

2.99 × 10−4

4.57 × 10−5

3

1.59 × 10−3

7.04 × 10−4

8.75 × 10−4

3.63 × 10−4

6.35 × 10−5

4

2.01 × 10−3

8.64 × 10−4

1.25 × 10−3

4.33 × 10−4

7.86 × 10−5

Back to article page