±±¾©Ê¯ÓÍ»¯¹¤Ñ§Ôº2026ÄêÑо¿ÉúÕÐÉú½ÓÊÕµ÷¼Á¹«¸æ
²é¿´: 321  |  »Ø¸´: 1

lplunanjing

½ð³æ (ÕýʽдÊÖ)

[ÇóÖú] ÔõÓÃRunge-Kutta·½·¨½â¸´ÊýÐÎʽµÄ΢·Ö·½³Ì

±¾È˶ÔRungge-Kutta·½·¨Ö»ÓÐÒ»µãµãÁ˽⡣Óöµ½Ò»¸öÂé·³ÎÊÌ⣬¹ØÓÚ¸´ÊýµÄ
R£¨t£©=x£¨t£©+iY£¨t£©
x'=Y£¨t£©
Y'=X£¨t£©
´øÆ²µÄÊǶÔʱ¼äµÄµ¼Êý¡£
Õâ¸ö·½³ÌÔõôÓÃRungge-Kutta·½·¨Çó³öX£¨t£©ºÍY£¨t£©



ÎÒµÄÓÊÏäÊÇlplu0227@njau.edu.cn
»Ø¸´´ËÂ¥
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

onesupeng

½ð³æ (Ö°Òµ×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï ¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
lplunanjing: ½ð±Ò+1, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸, ËäÈ»ÎÒÒѾ­°ÑÎÊÌâ½â¾öÁË£¬µ«ÊÇ»¹ÊǷdz£¸Ðл³æ×ÓÃǵÄÈÈÐİïÖú£¬×£ºÃÈ˺ÃÔË¡£ 2012-10-25 09:12:05
СÓêÃÈÃÈ: ½ð±Ò+2, ¸Ðл²ÎÓë 2012-10-27 10:55:35
Õâ¸öºÍ¸´ÊýûÓÐÒ»¶¡µã¹ØÏµ°É£¬¾ÍÊǺóÁ½Ê½µÄÊýÖµ½â£¬²»¹ýʱ¼ä»ý·ÖÒªÇóÊÇRunge-Kutta¡£ÄãÒª¸ãÇå³þÄãÒªµÄÊǼ¸½×¾«¶ÈµÄRunge-Kutta¸ñʽ¡£

ÆäÖÐÒ»¸ö¶þ½×µÄ¹«Ê½Îª£º
X^{n+1}-Y^{n+1}*dt/2=X^n+Y^n*dt/2
Y^{n+1}-X^{n+1}*dt/2=Y^n+X^n*dt/2
ÆäÖÐX^{n+1}ΪXÔÚt=(n+1)*dtʱ¿ÌµÄÖµ¡£ÆäÓàµÄ²»ÐèÒª½âÊÍÁ˰ɡ£
Õâ¸ö³£³£¿ÉÒÔ°Ù¶Ègoogleһϣ¬È»ºóÂԼӸĽø¼´¿É
³¤ÆÚÕÐÊÕ²©Ê¿Éú£¬²Î¼ûhttp://fsl-unsw.com
2Â¥2012-10-24 06:26:20
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ lplunanjing µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 352·Ö »¯¹¤Óë²ÄÁÏ +5 º£Äɰٴ¨Ly 2026-03-27 5/250 2026-03-28 03:39 by fmesaito
[¿¼ÑÐ] ¡¾Çóµ÷¼Á¡¿085601²ÄÁϹ¤³Ìר˶ | ×Ü·Ö272 | +5 ½Å»¬µÄÊØ·¨¹«Ãñ 2026-03-27 5/250 2026-03-27 22:50 by lcl13500..
[¿¼ÑÐ] 328Çóµ÷¼Á +6 àŵεĻù±¾¶¼ 2026-03-27 6/300 2026-03-27 16:49 by sanrepian
[¿¼ÑÐ] Ò»Ö¾Ô¸±±¾©»¯¹¤´óѧ²ÄÁÏÓ뻯¹¤ 264·Ö¸÷¿Æ¹ýAÇø¹ú¼ÒÏß +10 ¹þ¹þ157349 2026-03-21 10/500 2026-03-27 13:06 by zzll406
[¿¼ÑÐ] Ò»Ö¾Ô¸211£¬335·Ö£¬0856£¬Çóµ÷¼ÁԺУºÍµ¼Ê¦ +4 Çã____Ïô 2026-03-27 5/250 2026-03-27 11:52 by zhshch
[¿¼ÑÐ] ¿¼Ñе÷¼Á +9 СÀ¯ÐÂ±Ê 2026-03-26 9/450 2026-03-27 11:10 by ²»³Ôô~µÄ؈
[¿¼ÑÐ] 359Çóµ÷¼Á +4 ÍõÁ˸öéª 2026-03-25 4/200 2026-03-27 08:43 by ²»³Ôô~µÄ؈
[¿¼ÑÐ] 081200-11408-276ѧ˶Çóµ÷¼Á +4 ´Þwj 2026-03-26 4/200 2026-03-27 08:04 by chemisry
[¿¼ÑÐ] 333Çóµ÷¼Á +6 wfh030413@ 2026-03-23 6/300 2026-03-26 22:45 by ѧԱ8dgXkO
[¿¼ÑÐ] Ò»Ö¾Ô¸±±»¯Çóµ÷¼Á +3 Jsman 2026-03-22 3/150 2026-03-26 21:06 by ajpv·çÀ×
[¿¼ÑÐ] 325Çóµ÷¼Á +3 Aoyijiang 2026-03-23 3/150 2026-03-26 20:46 by ²»³Ôô~µÄ؈
[¿¼ÑÐ] Ò»Ö¾Ô¸ ÄϾ©Óʵç´óѧ 288·Ö ²ÄÁÏ¿¼ÑÐ Çóµ÷¼Á +3 jl0720 2026-03-26 3/150 2026-03-26 13:39 by zzll406
[¿¼ÑÐ] ѰÕÒµ÷¼Á +5 ¾óǿâ? 2026-03-21 8/400 2026-03-26 13:25 by 0906ljy
[¿¼ÑÐ] 291 Çóµ÷¼Á +7 »¯¹¤2026½ì±ÏÒµÉ 2026-03-21 8/400 2026-03-26 11:25 by AlenQIN.
[¿¼ÑÐ] »¯Ñ§µ÷¼ÁÒ»Ö¾Ô¸ÉϺ£½»Í¨´óѧ336·Ö-±¾¿ÆÉϺ£211 +4 СÓã°®Óлú 2026-03-25 4/200 2026-03-26 10:19 by aa331100
[¿¼ÑÐ] 296Çóµ÷¼Á +4 Íô£¡£¿£¡ 2026-03-25 7/350 2026-03-25 16:41 by Íô£¡£¿£¡
[¿¼ÑÐ] 0854µç×ÓÐÅÏ¢Çóµ÷¼Á +7 ¦Á____ 2026-03-22 9/450 2026-03-25 13:37 by ¦Á____
[¿¼ÑÐ] 293Çóµ÷¼Á +7 ¼ÓÒ»Ò»¾Å 2026-03-24 7/350 2026-03-25 12:02 by userper
[¿¼ÑÐ] 085404µç×ÓÐÅÏ¢284·ÖÇóµ÷¼Á +4 13659058978 2026-03-24 4/200 2026-03-24 12:15 by syl20081243
[¿¼ÑÐ] 293Çóµ÷¼Á +3 ÌÎÌÎWjt 2026-03-22 5/250 2026-03-22 22:21 by jiangpengfei
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û