24СʱÈÈÃŰæ¿éÅÅÐаñ    

Znn3bq.jpeg
²é¿´: 2948  |  »Ø¸´: 2

unicorn111

Í­³æ (³õÈëÎÄ̳)

[ÇóÖú] ÇóÖúÒ»¸ömatlab³ÌÐòµÄÎÊÌâ ÒÑÓÐ1È˲ÎÓë

mÎļþÈçÏÂ
function R = R4(f,g,m,n,a,b,xa,ya,ua,va,N)
f=@(u)(u);
g=@(v)(v);
m=@(x,y,u)(5.487*(10^20)*(16*x*y/pi+(1-4*y)*(1/pi+log(4*x)))*x/(sqrt(x*x+y*y)-3468*u));
n=@(x,y,v)(5.487*(10^20)*(16*x*y/pi+(1-4*y)*(1/pi+log(4*x)))*y/(sqrt(x*x+y*y)-3468*(v-1)));
h=(b-a)/N;
T=zeros(1,N+1);
X=zeros(1,N+1);
Y=zeros(1,N+1);
U=zeros(1,N+1);
V=zeros(1,N+1);
for n=1:N
    K1=feval(f,U(n));
    K2=feval(f,U(n)+h/2*K1);
    K3=feval(f,U(n)+h/2*K2);
    K4=feval(f,U(n)+h*K3);
    X(n+1)=X(n)+h*(K1+2*K2+2*K3+K4)/6;
    L1=feval(g,V(n));
    L2=feval(g,V(n)+h/2*L1);
    L3=feval(g,V(n)+h/2*L2);
    L4=feval(g,V(n)+h*L3);
    Y(n+1)=Y(n)+h*(L1+2*L2+2*L3+L4)/6;
    M1=feval(m,X(n),Y(n),U(n));
    N1=feval(n,X(n),Y(n),V(n));
    M2=feval(m,X(n)+h/2*K1,Y(n)+h/2*L1,U(n)+h/2*M1);
    N2=feval(n,X(n)+h/2*K1,Y(n)+h/2*L1,V(n)+h/2*N1);
    M3=feval(m,X(n)+h/2*K2,Y(n)+h/2*L2,U(n)+h/2*M2);
    N3=feval(n,X(n)+h/2*K2,Y(n)+h/2*L2,V(n)+h/2*N2);
    M4=feval(m,X(n)+h*K3,Y(n)+h*L3,U(n)+h*M3);
    N4=feval(n,X(n)+h*k3,Y(n)+h*L3,V(n)+h*N3);
    U(n+1)=U(n)+h*(M1+2*M2+2*M3+M4);
    V(n+1)=V(n)+h*(N1+2*N2+2*N3+N4);
    R=[X' Y' U' V'];
   

end




È»ºóÃüÁîÐÐÊäÈë
R4('f','g','m','n',0,250,0,0,0,1,250)ºó³ö´í

´íÎóʹÓà feval
²ÎÊý±ØÐë°üº¬×Ö·ûʸÁ¿»òº¯Êý¾ä±ú¡£

³ö´í R4 (line 24)
    N1=feval(n,X(n),Y(n),V(n));
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

unicorn111

Í­³æ (³õÈëÎÄ̳)

ÇóÎÊÔõô¸Ä
2Â¥2017-05-08 12:21:38
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

1314168apple

½ð³æ (ÖªÃû×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
ºÜ¶à´íÎó£¬
1¡¢º¯ÊýÈçºÎ¶¨Òå¶¼²»ÖªµÀ¡£f¡¢g¡¢m¡¢nÊôÓÚº¯Êý£¬²»Äܹ»ÔÚÊäÈë´¦¡£
2¡¢¶¨ÒånΪº¯Êý£¬ÔÚÑ­»·µÄµØ·½ÔÙ´ÎʹÓÃnʹ֮±äΪÊýÖµ¡£
3¡¢xa£¬ya£¬ua£¬va²»ÖªµÀÓÃÔÚÄÇÀ
4¡¢´óСд²»×¢Òâ K3¡¢k3¡£
5¡¢TÒ²²»ÖªËùν¡£
6¡¢f¡¢gµÄº¯ÊýÒ²¶à´ËÒ»¾Ù(ÎÒÕâÀï²»ÐÞ¸ÄÁË)¡£

X(1)¡¢Y(1)¡¢U(1)¡¢V(1)µÄÖµµÄΪÁ㣬Õâ²»·ûºÏ¡£
¿´ÄãµÄÃüÁîºÃÏñÊÇÏ£Íû¼ÆËã΢·Ö·½³Ì£¬ÓõÄÊÇ4-5½×Runge-Kutta ¡£Æäʵ¿ÉÒÔÓÃ×Ô´øÃüÁîode45.
function R = R4(a,b,N)
f=@(u)(u);
g=@(v)(v);
m=@(x,y,u)(5.487*(10^20)*(16*x*y/pi+(1-4*y)*(1/pi+log(4*x)))*x/(sqrt(x*x+y*y)-3468*u));
k=@(x,y,v)(5.487*(10^20)*(16*x*y/pi+(1-4*y)*(1/pi+log(4*x)))*y/(sqrt(x*x+y*y)-3468*(v-1)));
h=(b-a)/N;
T=zeros(1,N+1);
X=zeros(1,N+1);
Y=zeros(1,N+1);
U=zeros(1,N+1);
V=zeros(1,N+1);
for n=1:N
    K1=feval(f,U(n));
    K2=feval(f,U(n)+h/2*K1);
    K3=feval(f,U(n)+h/2*K2);
    K4=feval(f,U(n)+h*K3);
    X(n+1)=X(n)+h*(K1+2*K2+2*K3+K4)/6;
    L1=feval(g,V(n));
    L2=feval(g,V(n)+h/2*L1);
    L3=feval(g,V(n)+h/2*L2);
    L4=feval(g,V(n)+h*L3);
    Y(n+1)=Y(n)+h*(L1+2*L2+2*L3+L4)/6;
    M1=feval(m,X(n),Y(n),U(n));
    N1=feval(k,X(n),Y(n),V(n));
    M2=feval(m,X(n)+h/2*K1,Y(n)+h/2*L1,U(n)+h/2*M1);
    N2=feval(k,X(n)+h/2*K1,Y(n)+h/2*L1,V(n)+h/2*N1);
    M3=feval(m,X(n)+h/2*K2,Y(n)+h/2*L2,U(n)+h/2*M2);
    N3=feval(k,X(n)+h/2*K2,Y(n)+h/2*L2,V(n)+h/2*N2);
    M4=feval(m,X(n)+h*K3,Y(n)+h*L3,U(n)+h*M3);
    N4=feval(k,X(n)+h*K3,Y(n)+h*L3,V(n)+h*N3);
    U(n+1)=U(n)+h*(M1+2*M2+2*M3+M4);
    V(n+1)=V(n)+h*(N1+2*N2+2*N3+N4);
end
R=[X' Y' U' V'];


R4(0,250,250)

ans =

     0     0     0     0
     0     0   NaN   NaN
   NaN   NaN   NaN   NaN
   NaN   NaN   NaN   NaN
¡£¡£¡£¡£¡£¡£¡£¡£¡£¡£¡£¡£¡£
ΪÁË×îÖÕÀí½âÄãËù²»Àí½âµÄ£¬Äã±ØÐë¾­ÀúÒ»ÌõÓÞÃÁÎÞÖªµÄµÀ·¡£ÎªÁËÕ¼ÓÐÄã´ÓδռÓеĶ«Î÷£¬Äã±ØÐë¾­Àú±»°þ¶áµÄµÀ·¡£ÎªÁË´ïµ½ÄãÏÖÔÚËù²»ÔÚµÄÃû룬Äã±ØÐë¾­ÀúÄÇ...
3Â¥2017-05-11 09:13:55
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ unicorn111 µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] ±¾¿Æ211 ¹¤¿Æ085400 280·ÖÇóµ÷¼Á ¿É¿çרҵ +10 LZH£¨µÈ´ýµ÷¼ÁÖÐ 2026-04-10 10/500 2026-04-10 21:47 by fxue1114
[¿¼ÑÐ] 342µç×ÓÐÅϢר˶Çóµ÷¼Á +8 ÄãÈÃÎÒÔõôÀóÖ¦ 2026-04-10 9/450 2026-04-10 21:46 by fxue1114
[¿¼ÑÐ] 284Çóµ÷¼Á +19 èó@@ 2026-04-06 21/1050 2026-04-10 21:12 by zhouxiaoyu
[¿¼ÑÐ] ±¾9Ò»Ö¾Ô¸2 0854µÍ·Öר˶286Çóµ÷¼Á +10 âÖÖ111 2026-04-04 10/500 2026-04-10 12:31 by luosha500
[¿¼ÑÐ] 297Çóµ÷¼Á +8 Kwgyz 2026-04-09 8/400 2026-04-09 23:22 by may_ÐÂÓî
[¿¼ÑÐ] Òѵ÷¼Á +18 ²ñ¿¤Ã¨_ 2026-04-09 19/950 2026-04-09 22:10 by ²ñ¿¤Ã¨_
[¿¼ÑÐ] ¿¼Ñе÷¼Á-²ÄÁÏÀà-284 +28 Ïë»»ÊÖ»ú²»Ïë½âÊ 2026-04-08 28/1400 2026-04-09 20:08 by µ¹Êý321?
[¿¼ÑÐ] 1U¶Ü¼ÇµÃ¼ÇµÃ¾Í +9 sanjin020722 2026-04-08 10/500 2026-04-09 14:11 by Ê«Óë×ÔÓÉ
[¿¼ÑÐ] Çóµ÷¼Á£¬262»úеר˶ +6 àÅyyl 2026-04-08 6/300 2026-04-09 12:01 by zhouyuwinner
[¿¼ÑÐ] 334Çóµ÷¼Á +16 Riot2025 2026-04-08 17/850 2026-04-09 09:28 by wdyheheeh
[¿¼ÑÐ] »úеר˶273ÇëÇóµ÷¼Á +6 ¸ýÉêÈÉÉê 2026-04-07 6/300 2026-04-08 22:41 by bljnqdcc
[¿¼ÑÐ] 318Çóµ÷¼Á +5 ÀîÇàɽɽɽ 2026-04-07 5/250 2026-04-07 18:24 by À¶ÔÆË¼Óê
[¿¼ÑÐ] Èí¹¤Ñ§Ë¶299Çóµ÷¼Á +6 useryy 2026-04-07 6/300 2026-04-07 09:50 by vgtyfty
[¿¼ÑÐ] 333Çóµ÷¼Á +6 ºÏ³ËÑîϰϦ 2026-04-06 6/300 2026-04-07 09:44 by Öí»á·É
[¿¼ÑÐ] 277¹¤¿ÆÇóµ÷¼Á +10 1915668 2026-04-04 11/550 2026-04-06 23:53 by ÐÄæÂÒâ±±
[¿¼ÑÐ] Çóµ÷¼Áµ½0856²ÄÁϹ¤³Ì +3 ³Ì9915 2026-04-05 3/150 2026-04-05 18:15 by À¶ÔÆË¼Óê
[¿¼ÑÐ] 085500»úеר˶³õÊÔ288Çóµ÷¼Á +3 GZJguo666- 2026-04-05 3/150 2026-04-05 18:06 by jkddd
[¿¼ÑÐ] 081200-11408-276ѧ˶Çóµ÷¼Á +4 ´Þwj 2026-04-04 5/250 2026-04-05 14:06 by imissbao
[¿¼ÑÐ] ²ÄÁÏ»¯¹¤306·ÖÕÒºÏÊʵ÷¼Á +14 ²×º£ÇáÖÛe 2026-04-04 14/700 2026-04-05 09:53 by ÖìÔÆ»¢202
[¿¼ÑÐ] 085602µ÷¼Á ³õÊÔ×Ü·Ö335 +12 19123253302 2026-04-04 12/600 2026-04-05 08:08 by 544594351
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û