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