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value_1987

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6Â¥: Originally posted by ϦÑôÎ÷Ï at 2013-03-04 10:14:56
ÔõôŪ³öÀ´µÄÄØ£¿ÄÜ·ñ¸æÖª¡£...

function [y,z]=Runge_kutta(a,b,y0,z0,h)
x=a:h:b;
y(1)=y0;
z(1)=z0;
n=(b-a)/h+1;
for i=2:n
    K(1,1)=f1(x(i-1),y(i-1),z(i-1));
    K(2,1)=f2(x(i-1),y(i-1),z(i-1));
    K(1,2)=f1(x(i-1)+h/2,y(i-1)+K(1,1)*h/2,z(i-1)+K(2,1)*h/2);
    K(2,2)=f2(x(i-1)+h/2,y(i-1)+K(1,1)*h/2,z(i-1)+K(2,1)*h/2);
    K(1,3)=f1(x(i-1)+h/2,y(i-1)+K(1,2)*h/2,z(i-1)+K(2,2)*h/2);
    K(2,3)=f2(x(i-1)+h/2,y(i-1)+K(1,2)*h/2,z(i-1)+K(2,2)*h/2);
    K(1,4)=f1(x(i-1)+h,y(i-1)+K(1,3)*h,z(i-1)+K(2,3)*h);
    K(2,4)=f2(x(i-1)+h,y(i-1)+K(1,3)*h,z(i-1)+K(2,3)*h);
    y(i)=y(i-1)+h/6*(K(1,1)+2*K(1,2)+2*K(1,3)+K(1,4));
    z(i)=z(i-1)+h/6*(K(2,1)+2*K(2,2)+2*K(2,3)+K(2,4));
end
y(2);
plot(y,'r')
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8Â¥2013-03-04 15:43:55
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mechaniclmw

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value_1987: ½ð±Ò+5, ¡ïÓаïÖú 2013-03-03 14:48:06
xzhdty: лл²ÎÓë 2013-03-03 19:25:17
֮ǰÅöµ½¹ýÀàËÆµÄÎÊÌ⣬MatlabµÄode45ËÆºõÒªÇóº¯ÊýÐÎʽÊÇÃ÷È·µÄ£¬×îºóÊÇ×Ô¼º±àдRunge-Kutta³ÌÐò½â¾öµÄ
2Â¥2013-03-03 14:18:14
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value_1987

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ÒýÓûØÌû:
2Â¥: Originally posted by mechaniclmw at 2013-03-03 14:18:14
֮ǰÅöµ½¹ýÀàËÆµÄÎÊÌ⣬MatlabµÄode45ËÆºõÒªÇóº¯ÊýÐÎʽÊÇÃ÷È·µÄ£¬×îºóÊÇ×Ô¼º±àдRunge-Kutta³ÌÐò½â¾öµÄ

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3Â¥2013-03-03 14:45:31
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

value_1987

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ÒýÓûØÌû:
2Â¥: Originally posted by mechaniclmw at 2013-03-03 14:18:14
֮ǰÅöµ½¹ýÀàËÆµÄÎÊÌ⣬MatlabµÄode45ËÆºõÒªÇóº¯ÊýÐÎʽÊÇÃ÷È·µÄ£¬×îºóÊÇ×Ô¼º±àдRunge-Kutta³ÌÐò½â¾öµÄ

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4Â¥2013-03-03 14:47:54
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