绗?/p>
1
椤?/p>
鍏?/p>
4
椤?/p>
bu
娣卞湷澶у鑰冭瘯绛旈绾?/p>
(
浠ヨ鏂囥�佹姤鍛婄瓑褰㈠紡鑰冩牳涓撶敤
)
浜屸棆鈼?/p>
涔?/p>
锝炰簩鈼嬧棆
鍗?/p>
瀛﹀勾搴︾
涓�
瀛︽湡
璇剧▼缂栧彿
2316000801
璇剧▼鍚嶇О
Matlab
涓庢暟瀛﹀疄楠?/p>
涓昏鏁欏笀
浠囬珮鏂?/p>
璇勫垎
瀛?/p>
鍙?/p>
2007160036
濮撳悕
姊侀敠妗?/p>
涓撲笟骞寸骇
07
寰數涓�鐝?/p>
鏁欏笀璇勮锛?/p>
棰樼洰锛?/p>
銆?/p>
Matlab
涓庢暟瀛﹀疄楠屻�?/p>
鏈熸湯浣滀笟
1.
鐢ㄦ暟鍊肩Н鍒嗗叕寮忚绠?/p>
(
缁撴灉淇濈暀灏忔暟鐐瑰悗
8
浣?/p>
)
锛?/p>
胃
d
胃
sin
15
.
0
1
2
0
2
2
飪?
飥?/p>
飥?/p>
飦?
S
(1)
鍙栫Н鍒嗘闀?/p>
2
/
飦?/p>
飥?/p>
h
,
鐢ㄦ褰㈠叕寮忚绠?/p>
S=
6.24764132
銆?/p>
>>
format long;
>> x=0:pi/2:2*pi;
>> trapz(x,(1-(0.15.^2)*(sin(x)).^2).^0.5)
(2)
瑕佹眰鐩稿璇樊涓?/p>
10
-6
,
鐢?/p>
Simpson
鍏紡
S=
6.24769188
锛?/p>
Matlab
鍛戒护鏄?/p>
___
quad('(1-(0.15.^2)*(sin(x)).^2).^0.5',0,2*pi)_
______________________.
>>
format long;
>>quad('(1-(0.15.^2)*(sin(x)).^2).^0.5',0,2*pi)
2.
璁?/p>
,
0
)
0
(
,
1
)
0
(
,
0
sin
)
(
)
(
飥?/p>
飩?/p>
飥?/p>
飥?/p>
飥?/p>
飩?/p>
飩?/p>
y
y
x
x
y
x
y
鐢ㄦ暟鍊艰В娉曠畻鍑?/p>
y
(1)=
1.1635
,
浣犵敤
鐨?/p>
鏂?/p>
娉?/p>
鏄?/p>
Runga-Kutta
鏂?/p>
娉?/p>
锛?/p>
璋?/p>
鐢?/p>
鐨?/p>
Matlab
鍛?/p>
浠?/p>
鏄?/p>
[x,t]=ode45('verderpol',[0:0.1:1.2],[1,0])
锛岀畻娉曠簿搴︿负
4
闃?/p>
銆?/p>
瑙ｏ細寤虹珛鍑芥暟鏂囦欢
verderpol.m
function xprime = verderpol(x,t)
xprime = [t(2); t(1)*sin(x)];
杩愯鍛戒护锛?/p>
[x,t]=ode45('verderpol',[0:0.1:1.2],[1,0])
3.
璁?
,
0
)
0
(
,
1
)
0
(
,
0
sin
)
(
)
(
飥?/p>
飩?/p>
飥?/p>
飥?/p>
飥?/p>
飩?/p>
飥?/p>
飩?/p>
飩?/p>
y
y
ye
x
x
y
x
y
x
鐢ㄦ暟鍊艰В娉曠畻鍑?/p>
y
(1)=
0.2713
锛堢簿纭埌
4
浣嶅皬鏁帮級
,
浣犵敤鐨勬柟娉曟槸
Runga-Kutta
鏂规硶
锛岃皟鐢ㄧ殑
Matlab
鍛戒护鏄?/p>
[x,t]=ode45('verderpol2',[0:0.1:1.2],[1,0])
锛岀畻娉曠簿搴︿负
4~5
闃?/p>
銆?/p>
瑙ｏ細寤虹珛鍑芥暟鏂囦欢
verderpol2.m
function xprime = verderpol2(x,t)
xprime = [t(2);t(2)*sin(x)-t(1)*exp(x)];
杩愯鍛戒护锛?/p>
[x,t]=ode45('verderpol2',[0:0.1:1.2],[1,0])