²é¿´: 1452  |  »Ø¸´: 15
µ±Ç°Ö÷ÌâÒѾ­´æµµ¡£

resonant

ľ³æ (ÕýʽдÊÖ)

¶À×ÔΪÕþ

[½»Á÷] ¡¾Activity¡¿Somebody do me a favor?

This is all about Mathematica. If you dont use this software, pray not continue.

I'm trying to solve a series of differential equations, namely coupled wave equations, with Mathematica. And I just encountered with some difficulty and stuck here.
The basic idea is to use improved Euler method to solve it numerically. The variables are four complex numbers.

If anyone can do me the favor, I'd really appreciate that.

The simulteneous equations are listed below.



I will pay the replyer, who could help me solve this before 04/15/2010, 20bb as a prize.

[ Last edited by resonant on 2010-4-13 at 22:18 ]
»Ø¸´´ËÂ¥
½»ÅóʶÓÑ£¬ÃÍ¸ã¿ÆÑС£Á½ÊÖ×¥£¬Á½ÊÖ¶¼ÒªÓ²¡£
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
¡ï
Сľ³æ(½ð±Ò+0.5):¹§Ï²ÇÀɳ·¢£¬¸ø¸öºì°ü
resonant(½ð±Ò+2):½áÌâÇë¿Í£º-£© 2010-04-26 21:56
2Â¥2010-04-13 19:57:38
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

resonant

ľ³æ (ÕýʽдÊÖ)

¶À×ÔΪÕþ

well, dont freak out. a lot of parameters are merely constants.
½»ÅóʶÓÑ£¬ÃÍ¸ã¿ÆÑС£Á½ÊÖ×¥£¬Á½ÊÖ¶¼ÒªÓ²¡£
3Â¥2010-04-13 20:02:33
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hkkotw

Í­³æ (СÓÐÃûÆø)

resonant(½ð±Ò+2):½áÌâÇë¿Í£º-£© 2010-04-26 21:56
that's quite difficult
Ê¿²»¿ÉÒÔ²»ºëÒã,ÈÎÖØ¶øµÀÔ¶
4Â¥2010-04-13 22:06:01
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

resonant

ľ³æ (ÕýʽдÊÖ)

¶À×ÔΪÕþ

what now, probably a little easier.


so you can see lots of them are just constants.
I wanna know how to solve this kind of equations with mathematica 5.2 and 7.0
thank you very much.

P.s.
a single solution with mathematica 5.2 will do.

[ Last edited by resonant on 2010-4-13 at 22:20 ]
½»ÅóʶÓÑ£¬ÃÍ¸ã¿ÆÑС£Á½ÊÖ×¥£¬Á½ÊÖ¶¼ÒªÓ²¡£
5Â¥2010-04-13 22:12:23
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

ysm56789

ÈÙÓþ°æÖ÷ (ÖªÃû×÷¼Ò)

ÂæÍÕ

ÓÅÐã°æÖ÷

resonant(½ð±Ò+2):½áÌâÇë¿Í£º-£© 2010-04-26 21:57
No idea
practicemakesperfect
6Â¥2010-04-14 06:03:37
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

nono2009

³¬¼¶°æÖ÷ (ÎÄѧ̩¶·)

No gains, no pains.

ÓÅÐãÇø³¤ÓÅÐãÇø³¤ÓÅÐãÇø³¤ÓÅÐãÇø³¤ÓÅÐã°æÖ÷

resonant(½ð±Ò+1):thanks for the tip. 2010-04-14 11:57
resonant(½ð±Ò+1):½áÌâÇë¿Í£º-£© 2010-04-26 21:57
7Â¥2010-04-14 08:27:58
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

baiyansong

½ð³æ (СÓÐÃûÆø)

resonant(½ð±Ò+2):½áÌâÇë¿Í£º-£© 2010-04-26 21:56
too hard
8Â¥2010-04-14 09:56:41
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

resonant

ľ³æ (ÕýʽдÊÖ)

¶À×ÔΪÕþ

problem solved.
½»ÅóʶÓÑ£¬ÃÍ¸ã¿ÆÑС£Á½ÊÖ×¥£¬Á½ÊÖ¶¼ÒªÓ²¡£
9Â¥2010-04-15 21:04:55
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

shabbir

yes

resonant(½ð±Ò+2):½áÌâÇë¿Í£º-£© 2010-04-26 21:56
Yes mathematica 5.2 can solve it
10Â¥2010-04-15 21:24:37
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ resonant µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] ÊÛT0PÒ»ÇøSCIÎÄÕ£¬ÎÒ:8O5.51.O.54,¿ÆÄ¿ÆëÈ«,¿É£«¼± +3 dheqf6rz6n 2026-06-26 6/300 2026-06-27 22:46 by jjz01vuwzk
[˶²©¼ÒÔ°] ÊÛT0PÒ»ÇøSCIÎÄÕ£¬ÎÒ:8O5.51.O.54,¿ÆÄ¿ÆëÈ«,¿É£«¼± +3 dheqf6rz6n 2026-06-27 4/200 2026-06-27 20:27 by p8adfxx4ht
[²©ºóÖ®¼Ò] ÊÛT0PÒ»ÇøSCIÎÄÕ£¬ÎÒ:8O5.51.O.54,¿ÆÄ¿ÆëÈ«,¿É£«¼± +3 dheqf6rz6n 2026-06-27 3/150 2026-06-27 20:26 by p8adfxx4ht
[˶²©¼ÒÔ°] ÊÛT0PÒ»ÇøSCIÎÄÕ£¬ÎÒ:8O5.51.O.54,¿ÆÄ¿ÆëÈ«,¿É£«¼± +3 dheqf6rz6n 2026-06-27 5/250 2026-06-27 20:06 by p8adfxx4ht
[¿¼ÑÐ] ÊÛT0PÒ»ÇøSCIÎÄÕ£¬ÎÒ:8O5.51.O.54,¿ÆÄ¿ÆëÈ«,¿É£«¼± +3 7s8du2bt8y 2026-06-26 7/350 2026-06-27 18:48 by ztgu5ulw9z
[˶²©¼ÒÔ°] ÊÛT0PÒ»ÇøSCIÎÄÕ£¬ÎÒ:8O5.51.O.54,¿ÆÄ¿ÆëÈ«,¿É£«¼± +4 7s8du2bt8y 2026-06-26 8/400 2026-06-27 18:47 by ztgu5ulw9z
[¿¼²©] ÊÛT0PÒ»ÇøSCIÎÄÕ£¬ÎÒ:8O5.51.O.54,¿ÆÄ¿ÆëÈ«,¿É£«¼± +3 7s8du2bt8y 2026-06-26 5/250 2026-06-27 17:07 by ztgu5ulw9z
[»ù½ðÉêÇë] ÎÞÁÄ¿´¿´filecode +7 Á÷Á÷ÉË 2026-06-23 10/500 2026-06-27 16:19 by ±±¾©ÖÐÐäȽÀÏʦ
[¹«Åɳö¹ú] ÊÛT0PÒ»ÇøSCIÎÄÕ£¬ÎÒ:8O5.51.O.54,¿ÆÄ¿ÆëÈ«,¿É£«¼± +3 7s8du2bt8y 2026-06-26 4/200 2026-06-27 12:47 by 9g0rmhtq5w
[ÂÛÎÄͶ¸å] ÇóÍÆ¼öÆÚ¿¯£¬ÖØÐ» +4 girlbaby 2026-06-23 4/200 2026-06-26 16:52 by ²»´ò¹¤Å£Âí
[˶²©¼ÒÔ°] ÓлúÄܿ緽ÏòÉ격Âð +3 ¿É¿ÉÎ÷ÀïµÄÁÖС½ 2026-06-25 3/150 2026-06-26 11:59 by ÁÖ·¼Ä¾
[Óлú½»Á÷] ÇóÖú£¡£¡ 5+3 ÎÒɶ¶¼Ã»¿´¼û 2026-06-24 4/200 2026-06-26 09:35 by 951037019
[ÂÛÎÄͶ¸å] Ö°³ÆÂÛÎÄͶ¸å 170+4 guoj5292 2026-06-22 12/600 2026-06-25 22:27 by Yanyanoo
[ÂÛÎÄͶ¸å] »ùÓÚ×ÔÈ»ÕÜѧÀà±ÈµÄ·ç»¯¿ÇÐÍÏ¡ÍÁ¿ó +4 ̫һÐÂÔÏ 2026-06-22 16/800 2026-06-25 18:53 by ̫һÐÂÔÏ
[ÎÄѧ·¼²ÝÔ°] ¿´¡¶¸ø°¢maµÄÇéÊé¡·ÓиР+6 myrtle 2026-06-21 10/500 2026-06-25 17:54 by myrtle
[»ù½ðÉêÇë] ÖУ¡ÖУ¡ÖУ¡ +10 zhse276 2026-06-22 10/500 2026-06-24 16:48 by zjhzf5201018
[»ù½ðÉêÇë] »áÆÀʲôʱºò¿ªÊ¼£¿ +3 Vivilian 2026-06-24 4/200 2026-06-24 16:30 by jurkat.1640
[»ù½ðÉêÇë] ¹ú×ÔÈ»ÉêÇëÎåÆª´ú±í×÷´ó±ÈÆ´£¬¸Ð¾õÕâ¸öÊÇ×îÖØÒªµÄ +7 naalan7001 2026-06-22 12/600 2026-06-24 14:02 by naalan7001
[»ù½ðÉêÇë] ×Éѯ +3 _xyan818 2026-06-24 3/150 2026-06-24 08:12 by Equinoxhua
[»ù½ðÉêÇë] ÆÀίÓжàÉÙ¸ÅÂÊÖªµÀÆäËûר¼ÒÊÖÖÐÓÐÄÄЩÈ˵ı¾×Ó£¿ +6 huitong441 2026-06-22 6/300 2026-06-23 15:45 by гÇ×ÓÔø
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û