瀹為獙璇剧▼鍚嶇О锛氭暟鍊煎垎鏋?/p>
瀹為獙椤圭洰鍚嶇О
杩愮敤鎻掑�兼硶
瀹為獙鎴愮哗
瀹為獙鑰?/p>
姹熼獜
涓撲笟鐝骇
杞欢
0803
缁勫埆
鍚岀粍鑰?/p>
瀹為獙鏃ユ湡
骞?/p>
鏈?/p>
鏃?/p>
绗竴閮ㄥ垎锛氬疄楠屽垎鏋愪笌璁捐
涓�銆?/p>
瀹?/p>
楠屽唴瀹规弿杩?/p>
鈶寸爺绌剁敤
Jacobi
杩唬娉曚笌
Gauss-Seidel
杩唬娉曡В涓嬪垪鏂圭▼缁?/p>
Ax=b
鐨勬敹鏁涙�э紝閫氳繃涓婃満璁＄畻锛岄獙璇佸垎鏋愭槸
鍚︽纭紝骞惰瀵熷彸绔」瀵硅凯浠ｆ敹鏁涙槸鍚︽湁褰卞搷锛屾瘮杈冧袱娉曠殑鏀舵暃閫熷害
鈶垫澗寮涘洜瀛愬瓒呮澗寮涘洜瀛愯凯浠ｆ硶鏀舵暃閫熷害鐨勫奖鍝嶏紝瑕佹眰瀵逛笉鍚岀殑闃舵暟杩涜杩唬
鈶惰瀵熸鎷夋樉寮忔柟娉曠殑鏀舵暃鎬?/p>
鈶疯瀵熸鎷夐殣寮忔柟娉曠殑鏀舵暃鎬?/p>
鈶稿啓鍑哄疄楠屾姤鍛?/p>
浜屻�?/p>
瀹?/p>
楠屽熀鏈師鐞嗕笌璁捐
鈶?/p>
Jacobi
杩唬娉曪細鍒�
1=1
鐜勮�?/p>
x
j
=b(i=1,2,
鈥?/p>
,n)
鈶?/p>
Gauss-Seidel
杩唬娉曪細
x
i
(K+1)
=[b
i
-
鍒�
i-1
j=1
a
j
X
j
(k+1)
-
鍒�鐖?/p>
+
1
涓?/p>
(k)
]/a
j
鈶?/p>
瓒呮澗寮涘洜瀛愯凯浠ｆ硶锛?/p>
Dx
(k+1)
=Dx
(k)
+Ex
(k+1)
+Fx
(k)
+b-Dx
(k)
X
(k+1)
=x
(k)
+D
-1
R
鈶?/p>
涓夎鍒嗚В娉曪細鍒╃敤涓夎鐭╅樀灏嗘柟绋嬬粍鍖栬В涓轰袱涓柟绋嬬粍锛屼粠鑰岀畝鍖栬繍绠椼�?/p>
鈶?/p>
娆ф媺鏄惧紡鏂规硶锛氬湪浠绘剰鑺傜偣
t
n+1
=t
o
+(n+1)h
澶勶紝
u(t
n+1
)
鐨勮繎浼煎�肩敱
Euler
鍏紡缁欏嚭锛?/p>
U
n+1
=U
n
+hf(t
n
,u
n
)
鈶?/p>
娆ф媺闅愬紡鏂规硶锛氭敼杩涚殑
Euler
鍏紡
y
n+1
=y
n
+hf(x
n
,y
n
)
h
y
n+1
=y
n
+ [f(x
n
,y
n
)+f(x
n+1
, y
n+1
)]
2
涓夈�?/p>
涓?/p>
瑕佷华鍣ㄨ澶囧強鑰楁潗
Win dowsXp VC++6.0
绗簩閮ㄥ垎锛氬疄楠岃皟璇曚笌缁撴灉鍒嗘瀽
涓�銆佽皟璇曡繃绋?/p>
鈶?/p>
Jacobi
杩唬娉?/p>
#in clude <stdio.h>
#defi ne N 10
float ABS(float,float);
int
main (void)
{
int i, j, n;
float a[N][N], b[N];