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haixing2008

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mathzpmao

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lovibond: ½ð±Ò+1, ¹ÄÀø½»Á÷ 2012-05-07 20:29:34
haixing2008: ½ð±Ò+5, ¡ïÓаïÖú, ±ß½ç´¦Àí¸ñʽûÓмӽøÈ¥£¬ÕâÊÇÎÒµÄÖ÷ÒªÎÊÌ⣬ºÇºÇ 2012-05-07 22:26:54
ÏÂÃæÕâ¸ö³ÌÐòÎÒÔËÐйý£¬¿ÉÒÔÁË
%Finite different method for 1D parabolic equation
%Backward Euler for Time, Center Different for Space
function u=parabolicFD(m,n)
h=1/m;%space size
tao=1/n;%time step
r=tao/h^2;
u0=zeros(m+1,1);
u1=zeros(m+1,1);
A=zeros(m+1,m+1);
F=zeros(m+1,1);
for j=1:m+1
   u0(j)=cos(pi*(j-1)*h);
end
%assembling the Matrix A
for i=1:m+1
   for j=1:m+1
      if (abs(i-j)==1)
         A(i,j)=-1*r;
      end
      if (i==j)
          A(i,j)=1+2*r;
      end
   end
end
A(1,2)=-2*r;
A(m+1,m)=-2*r;
%
for i=1:n
    for j=1:m+1
        F(j)=u0(j)+tao*sin(tao*i);
    end
    u1=A\F;
    for j=1:m+1
        u0(j)=u1(j);
    end
end
    for j=1:m+1
        u(j)=u1(j);
    end  
end

×îºóÔÚÃüÁî´°¿Ú·Ö±ðÔËÐÐparabolicFD(40,1600)£¬parabolicFD(80,3200)
2Â¥2012-05-07 19:13:26
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cool_smile

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Point_Error=exp(-pi^2)*cos(pi*(0:h:1))+1-cos(1)-u
ÓÐÌ«¶àÇé¸Ð£¬¼´Ê¹Ç¿Çó£¬Ò²Ã»·¨µÃµ½; ÓÐÌ«¶àÓÇÉË£¬¼´Ê¹·ÅÆú£¬Ò²Ã»·¨Íü»³; »¹ÓÐÄÇÌ«¶àÌ«¶à¡­¡­È´ÓÀÔ¶ÓëÎÞÄÎÆ½ÐÐ
3Â¥2012-05-07 19:44:01
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haixing2008

ÈÙÓþ°æÖ÷ (ÎÄ̳¾«Ó¢)

ÒýÓûØÌû:
2Â¥: Originally posted by mathzpmao at 2012-05-07 19:13:26:
ÏÂÃæÕâ¸ö³ÌÐòÎÒÔËÐйý£¬¿ÉÒÔÁË
%Finite different method for 1D parabolic equation
%Backward Euler for Time, Center Different for Space
function u=parabolicFD(m,n)
h=1/m;%space size
tao=1/n;%time ...

Ö÷ÒªÊDZ߽çµÄ´¦Àí·½Ãæ£¬°´ÕÕËüµÄ¸ñʽ½øÐд¦Àí£¬ÎÒÒ»Ö±³öÏÖ±ß½ç·½ÃæµÄÎÊÌ⣬ϣÍûÄܹ»°Ñ±ß½ç´¦Àí¸ñʽ¼Ó½øÈ¥£¬Ð»Ð»À²£¡
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4Â¥2012-05-07 22:25:24
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mathzpmao

Òø³æ (СÓÐÃûÆø)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

ÒýÓûØÌû:
4Â¥: Originally posted by haixing2008 at 2012-05-07 22:25:24:
Ö÷ÒªÊDZ߽çµÄ´¦Àí·½Ãæ£¬°´ÕÕËüµÄ¸ñʽ½øÐд¦Àí£¬ÎÒÒ»Ö±³öÏÖ±ß½ç·½ÃæµÄÎÊÌ⣬ϣÍûÄܹ»°Ñ±ß½ç´¦Àí¸ñʽ¼Ó½øÈ¥£¬Ð»Ð»À²£¡

A(1,2)=-2*r;
A(m+1,m)=-2*r;
ÕâÁ½Ïî¾ÍÊǰ´Äã¸øµÄ±ß½çÌõ¼þ´¦ÀíµÄ±ß½ç°¡
5Â¥2012-05-07 23:02:21
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

haixing2008

ÈÙÓþ°æÖ÷ (ÎÄ̳¾«Ó¢)

ÒýÓûØÌû:
5Â¥: Originally posted by mathzpmao at 2012-05-07 23:02:21:
A(1,2)=-2*r;
A(m+1,m)=-2*r;
ÕâÁ½Ïî¾ÍÊǰ´Äã¸øµÄ±ß½çÌõ¼þ´¦ÀíµÄ±ß½ç°¡

Ê×Ïȱíʾ¸Ðл£¡ÄãÕâ±ßµÄ±ß½ç´¦Àí¸ñʽ²¢·ÇÎÒ¸øµÄ´¦Àí¸ñʽ£¬ºÇºÇ£¡
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6Â¥2012-05-07 23:19:58
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

haixing2008

ÈÙÓþ°æÖ÷ (ÎÄ̳¾«Ó¢)

ÒýÓûØÌû:
5Â¥: Originally posted by mathzpmao at 2012-05-07 23:02:21:
A(1,2)=-2*r;
A(m+1,m)=-2*r;
ÕâÁ½Ïî¾ÍÊǰ´Äã¸øµÄ±ß½çÌõ¼þ´¦ÀíµÄ±ß½ç°¡

Ö÷ÒªÊÇÁ½¸ö±ß½çµÄ´¦Àí£¬ÔÚÄãµÄ³ÌÐòÖÐÎÒûÄÜ¿´³öÀ´£¬ÔٴθÐл£¡


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7Â¥2012-05-07 23:47:09
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mathzpmao

Òø³æ (СÓÐÃûÆø)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
haixing2008: ½ð±Ò+45, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸, ·Ç³£¸Ðл£¬Ï£ÍûÄܹ»ºÍÄãQQ½»Á÷Ò»ÏÂÐĵÃÈçºÎ£¬ºÇºÇ£¡ 2012-05-07 23:51:24
ÒýÓûØÌû:
6Â¥: Originally posted by haixing2008 at 2012-05-07 23:19:58:
Ê×Ïȱíʾ¸Ðл£¡ÄãÕâ±ßµÄ±ß½ç´¦Àí¸ñʽ²¢·ÇÎÒ¸øµÄ´¦Àí¸ñʽ£¬ºÇºÇ£¡

Â¥Ö÷Äã×Ô¼ºÍƵ¼Ò»ÏÂA¾ØÕó¾ÍÖªµÀÁË¡£Æäʵ¥Ö÷¸øµÄ±ß½çÌõ¼þʵÖÊΪ±ß½çµ¼ÊýΪ0. ²»ÖªµÀÂ¥Ö÷µÄÏë·¨ÊÇÔõÑùµÄ£¿Èç¹ûÎҵı߽紦Àí¸ñʽ²»ÊÇÂ¥Ö÷¸øµÄ»°£¬Êǵò»µ½ÕýÈ·½á¹ûµÄ¡£
8Â¥2012-05-07 23:47:09
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jinpeng_6118

ľ³æ (ÕýʽдÊÖ)

ÇëÎÊÏÂlzÓÐ MatLab  5.2 ¼°ÒÔÉϰ汾µÄÈí¼þÂ𣬲»Öª´ÓÄÄÀïÏÂÔØ£¬ÄÜ·ñ°ï¸ö棬лл
ÈËÉú°Ù̬ԭΪº££¬¿´ÆÆºì³¾·½Îª°¶£¡
9Â¥2012-05-08 16:08:07
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

haixing2008

ÈÙÓþ°æÖ÷ (ÎÄ̳¾«Ó¢)

ÒýÓûØÌû:
9Â¥: Originally posted by jinpeng_6118 at 2012-05-08 16:08:07:
ÇëÎÊÏÂlzÓÐ MatLab  5.2 ¼°ÒÔÉϰ汾µÄÈí¼þÂ𣬲»Öª´ÓÄÄÀïÏÂÔØ£¬ÄÜ·ñ°ï¸ö棬лл

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