±±¾©Ê¯ÓÍ»¯¹¤Ñ§Ôº2026ÄêÑо¿ÉúÕÐÉú½ÓÊÕµ÷¼Á¹«¸æ
²é¿´: 960  |  »Ø¸´: 13
µ±Ç°Ö÷ÌâÒѾ­´æµµ¡£
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

adjoinff

°æÖ÷

ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡

[½»Á÷] ÊýÖµ·ÖÎöµÄcÓïÑÔ³ÌÐò£¬°ïæ¿´Ï£¬¸Ä¸Ä´í

http://d.namipan.com/d/79567bb4f ... dda82dcaf2d009e0100
http://d.namipan.com/d/79567bb4f ... dda82dcaf2d009e0100
ÎÒµÄÌâÄ¿ÒѾ­·Åµ½Ã×ÈËÀïÁË£¬ÇëÅóÓÑÃǰïæ¿´¿´¡£
ÏÈл¹ýÁË¡£

ÆäÖÐÖ®Ò»ÊÇÏÂÃæµÄ£¬´óÔ¼ÓÐ6¸öÌ⣬ÆäËû¶¼´«µ½Ã×ÈËÁË¡£

Óö¨²½³¤ËĽ×Runge-Kutta·¨Çó½â
   dy1/dt=1
   dy2/dt=y3
   dy3/dt=1000-1000y2-100y3
   y1(0)=0
   y2(0)=0
   y3(0)=0
·½³Ì×éÊÇÉÏÃæÁù¸öʽ×Ó
h=0.0005,´òÓ¡yi(0.025), yi(0.045), yi(0.085), yi(0.1),(i=1,2,3)


ÎÒÊÇÕâô±àµÄ
#include  
main()
{
   double  t,h=0.0005,y1=0,y2=0,y3=0,ky1[5],ky2[5],ky3[5];
   for(t=h;t<=0.1001;t+=h)                                  /*Runge-KuttaËã·¨¾ßÌå¹ý³Ì*/
   {  ky1[1]=h*1;  ky2[1]=h*y3;             ky3[1]=h*(1000-1000*y2-100*y3);
      ky1[2]=h*1;  ky2[2]=h*(y3+ky3[1]/2);  ky3[2]=h*(1000-1000*(y2+ky2[1]/2)-100*(y3+ky3[1]/2));
      ky1[3]=h*1;  ky2[3]=h*(y3+ky3[2]/2);  ky3[3]=h*(1000-1000*(y2+ky2[2]/2)-100*(y3+ky3[2]/2));
      ky1[4]=h*1;  ky2[4]=h*(y3+ky3[3]);    ky3[4]=h*(1000-1000*(y2+ky2[3])-100*(y3+ky3[3]));
      y1+=(ky1[1]+2*ky1[2]+2*ky1[3]+ky1[4])/6;
      y2+=(ky2[1]+2*ky2[2]+2*ky2[3]+ky2[4])/6;
      y3+=(ky3[1]+2*ky3[2]+2*ky3[3]+ky3[4])/6;
      if((t>0.0249&&t<0.0251)||(t>0.0449&&t<0.0451)||(t>0.0849&&t<0.0851)||(t>0.0999&&t<0.1001))
        printf("y1(%f)=%f,y2(%f)=%f,y3(%f)=%f\n",t,y1,t,y2,t,y3);       /*Êä³öº¯ÊýÖµ*/
   }
}
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

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

bluesine

¶Ò»»¹ó±ö

¿ÆÔ·Ð¡Ä¾³æ

ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡

ÒýÓûØÌû:
Originally posted by wfgwfgwfg at 2009-12-2 14:48:

²»»á°É.ÔõôŪµÄ?

copy µÄ½á¹û°¡£¬²»È»»¹ÄÜÔõôŪ¡£¡£¡£
°åµÊÒª×öÊ®ÄêÀäÎÄÕ²»·¢Ò»¸ö×Ö
7Â¥2009-12-03 12:53:30
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 14 ¸ö»Ø´ð

haixing2008

½û³æ

¡ï ¡ï ¡ï
Сľ³æ(½ð±Ò+0.5):¹§Ï²ÇÀɳ·¢£¬¸ø¸öºì°ü
adjoinff(½ð±Ò+2,VIP+0):лл°ïÖú 12-1 21:24
main()Õâ¸öÇ°ÃæÒª¼Ó¸ö void ¼´£º void main()
t<=0.1001;Õâ¸öºÃÏñÒ²ÓÐÎÊÌâ
»¹ÓоÍÊDZà³ÌËÆºõ²»ÊǺÜÃÀ¹Û¡£
ÎÒҲѧµÃ²»ºÃ£¬½ö¹©²Î¿¼£¬ÆÚ´ýר¼Ò½â´ð
ƽƽµ­µ­²ÅÊÇÕæ£¡
2Â¥2009-11-30 22:46:29
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

éêéêéê²Ð¿á

ר¼Ò¹ËÎÊ

ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡

¡ï ¡ï
Сľ³æ(½ð±Ò+0.2):ÇÀÁ˸öС°åµÊ£¬¸ø¸öºì°ü
adjoinff(½ð±Ò+1,VIP+0): 12-1 21:24
£¬ÎÒÊÔһϣ¡1
ѧÊõÎÊÌ⣬½»ÅóÓÑ
3Â¥2009-12-01 13:08:17
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

bluesine

Ö÷¹ÜÇø³¤

¿ÆÔ·Ð¡Ä¾³æ

ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡

¡ï ¡ï ¡ï ¡ï
formleaf(½ð±Ò+2,VIP+0):лл²ÎÓ룡 12-1 16:03
adjoinff(½ð±Ò+2,VIP+0):лл°ïÖú 12-1 21:24
ÄãµÄÕâ¸ö³ÌÐò¿ÉÒÔÔËÐа¡¡£¡£¡£

y1(0.025000)=0.025000,y2(0.025000)=0.151599,y3(0.025000)=8.335426
y1(0.045000)=0.045000,y2(0.045000)=0.312860,y3(0.045000)=7.536280
y1(0.085000)=0.085000,y2(0.085000)=0.560581,y3(0.085000)=4.946353
y1(0.100000)=0.100000,y2(0.100000)=0.628881,y3(0.100000)=4.180993
Press any key to continue
°åµÊÒª×öÊ®ÄêÀäÎÄÕ²»·¢Ò»¸ö×Ö
4Â¥2009-12-01 15:49:30
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] ÉúÎïÓëÒ½Ò©¿¼Ñе÷¼Á +3 Ìúº©º©123425 2026-03-31 3/150 2026-04-01 10:53 by judy105
[¿¼ÑÐ] 348Çóµ÷¼Á +7 zzzzyk123 2026-04-01 7/350 2026-04-01 10:17 by ÌÆãå¶ù
[¿¼ÑÐ] Ò»Ö¾Ô¸ ÄϾ©º½¿Õº½Ìì´óѧ £¬080500²ÄÁÏ¿ÆÑ§Ó빤³Ìѧ˶ +10 @taotao 2026-03-31 11/550 2026-04-01 09:43 by xiayizhi
[¿¼ÑÐ] 349Çóµ÷¼Á +6 zwjjjjjj 2026-03-31 6/300 2026-04-01 09:16 by JourneyLucky
[¿¼ÑÐ] 262Çóµ÷¼Á +7 ÀøÖ¾Ò»¶¨·¢ÎÄÕ 2026-03-31 7/350 2026-04-01 09:14 by jp9609
[¿¼ÑÐ] Ò»Ö¾Ô¸±±¾©¿Æ¼¼´óѧ²ÄÁÏѧ˶328·ÖÇóµ÷¼Á +4 1¶Îʱ¼ä 2026-03-31 5/250 2026-03-31 19:56 by wxiongid
[¿¼ÑÐ] 254²ÄÁÏÓ뻯¹¤Çóµ÷¼Á +3 º²¶¬ÁÖéª 2026-03-30 4/200 2026-03-31 17:53 by yishunmin
[¿¼ÑÐ] ¿¼Ñе÷¼ÁÇóÖú +7 13287130938 2026-03-31 7/350 2026-03-31 16:39 by 690616278
[¿¼ÑÐ] ÇóÊÕÁô +8 1943443204 2026-03-28 8/400 2026-03-31 15:00 by -ÃÔÁË·°¡Â·
[¿¼ÑÐ] Ò»Ö¾Ô¸Î÷µç085401ÊýÒ»Ó¢Ò»299Çóµ÷¼Á Áù¼¶521 +4 °®³Ô´óѼÀæ 2026-03-31 4/200 2026-03-31 11:51 by ²«»÷518
[¿¼ÑÐ] 08¹¤¿Æ£¬295£¬½ÓÊÜ¿çרҵµ÷¼Á +6 lmnlzy 2026-03-30 6/300 2026-03-31 10:04 by cal0306
[¿¼ÑÐ] 085600 286·Ö ²ÄÁÏÇóµ÷¼Á +11 ÂéÀ±öÏÓã 2026-03-27 12/600 2026-03-30 19:33 by Wang200018
[¿¼ÑÐ] 071010 323 ·ÖÇóµ÷¼Á +3 Baekzhy 2026-03-27 3/150 2026-03-30 14:24 by andresqi
[¿¼ÑÐ] 329Çóµ÷¼Á +8 ÐÇÒ°? 2026-03-26 8/400 2026-03-30 13:41 by chemdavid
[¿¼ÑÐ] »·¾³¿ÆÑ§Ó빤³Ì334·ÖÇóµ÷¼Á +6 ÍõÒ»Ò»ÒÀÒÀ 2026-03-30 8/400 2026-03-30 11:52 by yjolah
[¿¼ÑÐ] µ÷¼Á¿¼ÑÐ +3 Íõ½ÜÒ» 2026-03-29 3/150 2026-03-29 08:09 by fmesaito
[¿¼ÑÐ] 081200-314 +3 LILIQQ 2026-03-27 4/200 2026-03-28 09:41 by ±£»¤µØÇòÄãÎÒ×öÆ
[¿¼ÑÐ] 295Çóµ÷¼Á +5 1428151015 2026-03-27 6/300 2026-03-28 04:04 by fmesaito
[¿¼ÑÐ] 275Çóµ÷¼Á +10 jjjjjjjjjjl 2026-03-27 10/500 2026-03-27 23:47 by barnett0632
[¿¼ÑÐ] 305Çóµ÷¼Á +5 ÍÛ¬¿¨¿â 2026-03-26 5/250 2026-03-27 14:01 by laoshidan
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û