🔍 参考代码:

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
clear all
m=22;
for k=1:m
for j=1:m
if k==1
V(j,k)=1;
elseif ((j==1)|(j==m)|(k==m))
V(j,k)=0;
else
V(j,k)=0.5;
end
end
end
cha=0.01;
delta=0;
n=0;
while(1)
n=n+1;
for k=2:m-1
for j=2:m-1
Vnew(j,k)=0.25*(V(j+1,k)+V(j-1,k)+V(j,k+1)+V(j,k-1));
d=abs((Vnew(j,k)-V(j,k))/V(j,k));
if d>delta
delta=d;
end
V(j,k)=Vnew(j,k);
end
end
if delta<cha
break;
end
if n>100
break;
end
delta=0.;
end
k=1:m;
j=1:m;
figure(1)
[DX,DY]=gradient(V,.4,.4);
hold on
quiver(k,j,DX,DY,2)
hold off
xlabel('电场线图像')
title('姓名')
figure(2)
[DX,DY]=gradient(V,.4,.4)
A=(DX.^2+DY.^2).^0.5;
[DA,DB]=gradient(A,.4,.4);
hold on
quiver(k,j,DA,DB,2)
hold off
xlabel('电力线图像')
title('姓名')