t ξ t ξ ξ

u^ (t,x)
5
4
3
2
1
0
1
10
8
6
4
2
0
2
4
6
8
10
0
0.2
0.4
0.6
0.8
1
‹211›
‹11›
‹212›
‹21›
‹12›
‹1 ›
t
‹3›
c4= 0
‹4›
S2
S3 > T‹3›
‹0›
m (T‹3›,x‹3›) u^ 0(x‹3›)
‹2›
m'(S2 , x‹0›)
m'(S1 , x‹0›)
‹2›
‹1›
‹1›
t
S‹111›
S0
x ‹ 0›
S0
‹0›
x
h2
h0
‹0›
‹112›
m'(S0 , x‹0›)
‹111›
x
x‹0›
J‹11›=2
S‹2›< T‹2›
S1
t
S1
‹3›
h1
‹2 ›
N=3
N=4
T‹4›
‹22›
‹N›
S‹11›
c‹12›=0
‹12›
‹11›
J‹1›=2
‹2›
k‹2›< 2k
0
S‹1›
‹1›
‹0›
J‹0›=1
0.03
k=k‹0›
k0 2k0
0.025
S‹0›
0.02
‹0›
‹0›
bj
x ‹ 0›
x
x ‹ 0›
0.015
0.01
0.005
1
0
2
0.8
3
0.6
4
5
6
x
0.4
7
t
0.2
8
0
9
u (t,x)
^
0.5
0.4
0.3
x=2
0.03
x=3
0.03
0.1
0
^
0. 1
0.02
0.02
0.01
0.01
0.0
0. 2
0
0.2
0.4
0.6
0.8
1.0
t
0.0
0
0.2
0.4
0.6
x=2
0.03
0.2
0.8
1.0
t
0.02
0.02
0.01
0.01
0.0
0
0.2
x=3
0.03
0.4
0.6
0.8
t
1.0
0.0
0
0.2
0.4
0.6
0.8
1.0
0.8
1.0
t
0. 3
0. 4
3
0. 5
10
5
1
0
5
x
10
2
0.015
t
0.01
x=4
0
x = 0,1,-1
x = 0,1,-1
x = 2,-2
x = 2,-2
0.5
0.1
0.5
0.25
0.05
0.25
0.05
0
u 0
0
0
0.25
-0.05
0.25
-0.05
0.5
1
^
0
1
3
-0.1
0
x = 3,-3
-2
x10
2
t
1
1
x10
2
3
t
x = 4,-4
-3
-0.5
1
0
x10
1
2
3
t
0.1
-0.1
0
x = 3,-3
-2
1
0.5
0.5
0.5
0
u^ 0
0
0
-0.5
-0.5
-0.5
-0.5
-1
5
0
x10
1
2
3
t
-1
x = 5,-5
-5
1
0
x10
1
2
3
t
-1
x = 6,-6
-6
5
0
x10
1
2
3
t
0.5
-1
x = 5,-5
-5
1
2.5
0.5
2.5
0.5
0
u^ 0
0
0
-2.5
-0.5
-2.5
-0.5
-5
5
0
x10
1
2
3
t
x = 7,-7
-8
-1
5
0
x10
1
2
3
t
x = 8,-8
-10
-5
1
0
x10
1
2
3
t
-1
x = 7,-7
-8
1
2.5
2.5
0.5
0.5
0
u^ 0
0
0
-2.5
-2.5
-0.5
-0.5
-5
0
1
2
3
t
-5
0
1
2
3
t
-1
0
1
2
3
t
-1
x10
1
x10
1
x10
0
2
3
2
3
2
3
t
x = 6,-6
-6
0
3
x = 4,-4
-3
0
2
t
1
t
x = 8,-8
-10
1
t
0.2
x10
0.4
0.6
0.8
1.0
t
-3
x=6
3.0
2.0
2.0
1.0
0.0
t 0.0
0
0.2
x10
0.4
0.6
0.8
1.0
-3
1.0
1.0
0.5
0.0
t 0.0
0.4
0.6
x10
0.05
0.8
1.0
0
0.4
0.6
0.8
1.0
t
0.0
0
0.2
0.4
0.6
0.8
1.0
t
0.0
0
0.2
0.4
0.6
t
-3
1.5 x10
x=8
0.2
0.2
x=7
x=6
4.0
x=7
3.0
2.0
2.0
0
2.0
0
0.01
0.0
0
4.0
3.0
x=5
0.01
0.005
0
6.0
x=4
0.015
4.0
0.005
0.0
x=5
8.0
0.2
0.4
0.6
0.8
1.0
t
0.0
0
1.0
0.2
0.4
0.6
0.8
1.0
t
t
0.0
0
0.2
0.4
0.6
0.8
1.0
0.8
1.0
-3
x=9
x=8
1.5
x=9
1.0
1.0
0.5
0.5
0.2
0.4
0.6
0.8
1.0
t
0.0
0
0.2
0.4
0.6
0.8
1.0
t
0.0
0
0.2
0.4
0.6
t