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unicorn111ͳæ (³õÈëÎÄ̳)
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mÎļþÈçÏ function R = R4(f,g,m,n,a,b,xa,ya,ua,va,N) f=@(u)(u); g=@(v)(v); m=@(x,y,u)(5.487*(10^20)*(16*x*y/pi+(1-4*y)*(1/pi+log(4*x)))*x/(sqrt(x*x+y*y)-3468*u)); n=@(x,y,v)(5.487*(10^20)*(16*x*y/pi+(1-4*y)*(1/pi+log(4*x)))*y/(sqrt(x*x+y*y)-3468*(v-1))); h=(b-a)/N; T=zeros(1,N+1); X=zeros(1,N+1); Y=zeros(1,N+1); U=zeros(1,N+1); V=zeros(1,N+1); for n=1:N K1=feval(f,U(n)); K2=feval(f,U(n)+h/2*K1); K3=feval(f,U(n)+h/2*K2); K4=feval(f,U(n)+h*K3); X(n+1)=X(n)+h*(K1+2*K2+2*K3+K4)/6; L1=feval(g,V(n)); L2=feval(g,V(n)+h/2*L1); L3=feval(g,V(n)+h/2*L2); L4=feval(g,V(n)+h*L3); Y(n+1)=Y(n)+h*(L1+2*L2+2*L3+L4)/6; M1=feval(m,X(n),Y(n),U(n)); N1=feval(n,X(n),Y(n),V(n)); M2=feval(m,X(n)+h/2*K1,Y(n)+h/2*L1,U(n)+h/2*M1); N2=feval(n,X(n)+h/2*K1,Y(n)+h/2*L1,V(n)+h/2*N1); M3=feval(m,X(n)+h/2*K2,Y(n)+h/2*L2,U(n)+h/2*M2); N3=feval(n,X(n)+h/2*K2,Y(n)+h/2*L2,V(n)+h/2*N2); M4=feval(m,X(n)+h*K3,Y(n)+h*L3,U(n)+h*M3); N4=feval(n,X(n)+h*k3,Y(n)+h*L3,V(n)+h*N3); U(n+1)=U(n)+h*(M1+2*M2+2*M3+M4); V(n+1)=V(n)+h*(N1+2*N2+2*N3+N4); R=[X' Y' U' V']; end È»ºóÃüÁîÐÐÊäÈë R4('f','g','m','n',0,250,0,0,0,1,250)ºó³ö´í ´íÎóʹÓà feval ²ÎÊý±ØÐë°üº¬×Ö·ûʸÁ¿»òº¯Êý¾ä±ú¡£ ³ö´í R4 (line 24) N1=feval(n,X(n),Y(n),V(n)); |
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unicorn111
ͳæ (³õÈëÎÄ̳)
- Ó¦Öú: 0 (Ó×¶ùÔ°)
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- ³æºÅ: 6072462
- ×¢²á: 2017-03-20
- רҵ: ÌØÊâÒ±½ð¡¢Íⳡұ½ðÓëÒ±½ð
2Â¥2017-05-08 12:21:38
1314168apple
½ð³æ (ÖªÃû×÷¼Ò)
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- ×¢²á: 2006-10-21
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ºÜ¶à´íÎó£¬ 1¡¢º¯ÊýÈçºÎ¶¨Òå¶¼²»ÖªµÀ¡£f¡¢g¡¢m¡¢nÊôÓÚº¯Êý£¬²»Äܹ»ÔÚÊäÈë´¦¡£ 2¡¢¶¨ÒånΪº¯Êý£¬ÔÚÑ»·µÄµØ·½ÔÙ´ÎʹÓÃnʹ֮±äΪÊýÖµ¡£ 3¡¢xa£¬ya£¬ua£¬va²»ÖªµÀÓÃÔÚÄÇÀ 4¡¢´óСд²»×¢Òâ K3¡¢k3¡£ 5¡¢TÒ²²»ÖªËùν¡£ 6¡¢f¡¢gµÄº¯ÊýÒ²¶à´ËÒ»¾Ù(ÎÒÕâÀï²»ÐÞ¸ÄÁË)¡£ X(1)¡¢Y(1)¡¢U(1)¡¢V(1)µÄÖµµÄΪÁ㣬Õâ²»·ûºÏ¡£ ¿´ÄãµÄÃüÁîºÃÏñÊÇÏ£Íû¼ÆËã΢·Ö·½³Ì£¬ÓõÄÊÇ4-5½×Runge-Kutta ¡£Æäʵ¿ÉÒÔÓÃ×Ô´øÃüÁîode45. function R = R4(a,b,N) f=@(u)(u); g=@(v)(v); m=@(x,y,u)(5.487*(10^20)*(16*x*y/pi+(1-4*y)*(1/pi+log(4*x)))*x/(sqrt(x*x+y*y)-3468*u)); k=@(x,y,v)(5.487*(10^20)*(16*x*y/pi+(1-4*y)*(1/pi+log(4*x)))*y/(sqrt(x*x+y*y)-3468*(v-1))); h=(b-a)/N; T=zeros(1,N+1); X=zeros(1,N+1); Y=zeros(1,N+1); U=zeros(1,N+1); V=zeros(1,N+1); for n=1:N K1=feval(f,U(n)); K2=feval(f,U(n)+h/2*K1); K3=feval(f,U(n)+h/2*K2); K4=feval(f,U(n)+h*K3); X(n+1)=X(n)+h*(K1+2*K2+2*K3+K4)/6; L1=feval(g,V(n)); L2=feval(g,V(n)+h/2*L1); L3=feval(g,V(n)+h/2*L2); L4=feval(g,V(n)+h*L3); Y(n+1)=Y(n)+h*(L1+2*L2+2*L3+L4)/6; M1=feval(m,X(n),Y(n),U(n)); N1=feval(k,X(n),Y(n),V(n)); M2=feval(m,X(n)+h/2*K1,Y(n)+h/2*L1,U(n)+h/2*M1); N2=feval(k,X(n)+h/2*K1,Y(n)+h/2*L1,V(n)+h/2*N1); M3=feval(m,X(n)+h/2*K2,Y(n)+h/2*L2,U(n)+h/2*M2); N3=feval(k,X(n)+h/2*K2,Y(n)+h/2*L2,V(n)+h/2*N2); M4=feval(m,X(n)+h*K3,Y(n)+h*L3,U(n)+h*M3); N4=feval(k,X(n)+h*K3,Y(n)+h*L3,V(n)+h*N3); U(n+1)=U(n)+h*(M1+2*M2+2*M3+M4); V(n+1)=V(n)+h*(N1+2*N2+2*N3+N4); end R=[X' Y' U' V']; R4(0,250,250) ans = 0 0 0 0 0 0 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN ¡£¡£¡£¡£¡£¡£¡£¡£¡£¡£¡£¡£¡£ |

3Â¥2017-05-11 09:13:55













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