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Special Issues
Mathematical Problems in Engineering
/
2011
/
Article
/
Tab 1
/
Research Article
C-N Difference Schemes for Dissipative Symmetric Regularized Long Wave Equations with Damping Term
Table 1
The error comparison in the sense of
𝑙
∞
at various time step when
𝜐
=
𝛾
=
0
.
2
.
𝜏
=
ℎ
=
0
.
1
𝜏
=
ℎ
=
0
.
0
5
𝜏
=
ℎ
=
0
.
0
2
5
Scheme I
Scheme II
Scheme I
Scheme II
Scheme I
Scheme II
𝑢
𝑡
=
1
2
.
0
5
1
8
2
8
e
−
3
3
.
0
3
1
2
2
8
e
−
3
5
.
0
8
6
9
9
7
e
−
4
7
.
7
1
5
0
4
2
e
−
4
1
.
2
1
2
0
6
2
e
−
4
1
.
9
6
3
6
1
6
e
−
4
𝑡
=
2
3
.
6
5
8
8
6
1
e
−
3
4
.
4
4
4
1
6
1
e
−
3
9
.
0
6
2
5
9
8
e
−
4
1
.
1
3
0
5
4
5
e
−
3
2
.
1
5
9
8
2
6
e
−
4
2
.
8
9
1
3
0
8
e
−
4
𝑡
=
3
4
.
6
5
9
5
2
3
e
−
3
5
.
2
4
8
7
0
0
e
−
3
1
.
1
5
4
1
7
1
e
−
3
1
.
3
3
2
2
3
6
e
−
3
2
.
7
4
9
8
0
7
e
−
4
3
.
3
6
3
1
6
7
e
−
4
𝑡
=
4
5
.
2
3
0
4
6
3
e
−
3
5
.
8
1
7
1
7
1
e
−
3
1
.
2
9
5
6
8
1
e
−
3
1
.
4
7
6
3
2
6
e
−
3
3
.
0
8
7
0
0
2
e
−
4
3
.
7
3
6
6
0
9
e
−
4
𝑡
=
5
5
.
5
0
9
9
4
7
e
−
3
6
.
5
7
0
9
2
2
e
−
3
1
.
3
6
5
0
1
1
e
−
3
1
.
6
6
0
7
4
5
e
−
3
3
.
2
5
2
2
4
1
e
−
4
4
.
2
1
3
1
1
6
e
−
4
𝜌
𝑡
=
1
1
.
6
7
2
6
2
3
e
−
3
1
.
9
8
1
7
1
8
e
−
3
4
.
1
4
6
2
3
3
e
−
4
5
.
0
0
9
1
0
5
e
−
4
9
.
8
8
2
7
0
5
e
−
5
1
.
2
7
4
2
8
1
e
−
4
𝑡
=
2
2
.
7
7
5
2
4
7
e
−
3
3
.
2
3
1
0
8
7
e
−
3
6
.
8
8
0
9
6
9
e
−
4
8
.
1
1
0
3
5
3
e
−
4
1
.
6
4
0
1
2
8
e
−
4
2
.
0
7
4
0
9
1
e
−
4
𝑡
=
3
3
.
6
1
9
0
2
2
e
−
3
4
.
4
9
5
8
8
8
e
−
3
8
.
9
7
1
7
1
6
e
−
4
1
.
1
4
4
5
5
5
e
−
3
2
.
1
3
8
3
2
6
e
−
4
2
.
9
1
2
4
0
3
e
−
4
𝑡
=
4
4
.
1
5
0
3
8
7
e
−
3
5
.
1
6
9
2
5
7
e
−
3
1
.
0
2
8
9
6
2
e
−
3
1
.
3
1
4
3
3
4
e
−
3
2
.
4
5
2
4
9
5
e
−
4
3
.
3
2
9
7
0
2
e
−
4
𝑡
=
5
4
.
4
3
4
6
9
2
e
−
3
5
.
7
9
2
7
1
7
e
−
3
1
.
1
0
0
0
8
9
e
−
3
1
.
4
6
6
3
2
6
e
−
3
2
.
6
2
1
2
9
6
e
−
4
3
.
7
1
6
6
0
9
e
−
4
