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Mathematical Problems in Engineering
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Table of Contents
Special Issues
Mathematical Problems in Engineering
/
2009
/
Article
/
Tab 4
/
Review Article
A Review of Some Recent Results for the Approximate Analytical Solutions of Nonlinear Differential Equations
Table 4
Numerical results (in
x
direction) for
|
𝑢
(
𝑥
,
𝑡
)
−
𝜙
2
0
(
𝑥
,
𝑡
)
|
where
𝑢
(
𝑥
,
𝑡
)
=
(
1
+
2
𝑥
)
/
(
𝑥
2
+
𝑥
+
6
𝑡
+
1
)
for (
3.19
), (
3.24
)-(
3.25
).
𝑡
𝑖
∣
𝑥
𝑖
0
.
0
1
0
.
0
2
0
.
0
3
0
.
0
4
0
.
0
5
0
.
0
1
1
.
0
0
0
0
𝐸
−
2
0
1
.
0
0
0
0
𝐸
−
2
0
1
.
0
0
0
0
𝐸
−
2
0
1
.
0
0
0
0
𝐸
−
2
0
1
.
0
0
0
0
𝐸
−
2
0
0
.
0
2
1
.
0
0
0
0
𝐸
−
2
0
1
.
0
0
0
0
𝐸
−
2
0
0
.
0
0
0
0
𝐸
+
0
0
1
.
0
0
0
0
𝐸
−
2
0
0
.
0
0
0
0
𝐸
+
0
0
0
.
0
3
0
.
0
0
0
0
𝐸
+
0
0
1
.
0
0
0
0
𝐸
−
2
0
2
.
0
0
0
0
𝐸
−
2
0
1
.
0
0
0
0
𝐸
−
2
0
1
.
0
0
0
0
𝐸
−
2
0
0
.
0
4
0
.
0
0
0
0
𝐸
+
0
0
0
.
0
0
0
0
𝐸
+
0
0
3
.
0
0
0
0
𝐸
−
2
0
2
.
0
0
0
0
𝐸
−
2
0
2
.
0
0
0
0
𝐸
−
2
0
0
.
0
5
1
.
0
0
0
0
𝐸
−
2
0
0
.
0
0
0
0
𝐸
+
0
0
1
.
0
0
0
0
𝐸
−
2
0
0
.
0
0
0
0
𝐸
+
0
0
1
.
0
0
0
0
𝐸
−
2
0