Skip to main content
Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Global relative error for Problem 2 when \(\lambda =5\) and \(\nu =-25\)

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 = 1000

n = 200

n = 200

n = 150

n = 100

Δt = 0.0001

Δt = 0.01

Δt = 0.01

 

Δt = 0.01

6

7.88 × 10−6

6.51 × 10−6

9.34 × 10−6

3.59 × 10−6

3.00 × 10−7

8

9.53 × 10−6

7.13 × 10−6

1.57 × 10−5

4.29 × 10−6

3.62 × 10−7

10

1.09 × 10−5

7.31 × 10−6

2.37 × 10−5

5.09 × 10−6

4.14 × 10−7

12

1.18 × 10−5

8.78 × 10−6

3.33 × 10−5

3.79 × 10−6

4.43 × 10−7

Back to article page