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chufufang

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[交流] 离散微分方程代码 已有1人参与

clc,clear
n=100;
x1(1)=1;
x2(1)=3;
x3(1)=5;
x4(1)=7;
x5(1)=9;
x6(1)=8;
x7(1)=6;
x8(1)=4;

x9(1)=0.2;
x10(1)=0.4;
x11(1)=0.6;
x12(1)=0.8;
x13(1)=0.9;
x14(1)=0.7;
x15(1)=0.5;
x16(1)=0.3;

k(1)=0;


for i=2:n;
T=0.3;  
c=1;
d=2;
c1=1;
    x1(i)=x1(i-1)+T*x9(i-1)-c*T*T*(((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2-d^2)/((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2)^2)*x1(i-1)+c*T*T*(((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2-d^2)/((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2)^2)*x2(i-1)-1/2*T*T*c1*x9(i-1)+1/2*T*T*c1*x10(i-1);
    x2(i)=x2(i-1)+T*x10(i-1)-c*T*T*(((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2-d^2)/((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2)^2)*x2(i-1)+c*T*T*(((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2-d^2)/((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2)^2)*x3(i-1)-1/2*T*T*c1*x10(i-1)+1/2*T*T*c1*x11(i-1);
    x3(i)=x3(i-1)+T*x11(i-1)-c*T*T*(((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2-d^2)/((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2)^2)*x3(i-1)+c*T*T*(((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2-d^2)/((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2)^2)*x4(i-1)-1/2*T*T*c1*x11(i-1)+1/2*T*T*c1*x12(i-1);
    x4(i)=x4(i-1)+T*x12(i-1)-c*T*T*(((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2-d^2)/((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2)^2)*x4(i-1)+c*T*T*(((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2-d^2)/((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2)^2)*x1(i-1)-1/2*T*T*c1*x12(i-1)+1/2*T*T*c1*x9(i-1);
   
    x5(i)=x5(i-1)+T*x13(i-1)-c*T*T*(((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2-d^2)/((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2)^2)*x5(i-1)+c*T*T*(((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2-d^2)/((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2)^2)*x6(i-1)-1/2*T*T*c1*x13(i-1)+1/2*T*T*c1*x14(i-1);
    x6(i)=x6(i-1)+T*x14(i-1)-c*T*T*(((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2-d^2)/((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2)^2)*x6(i-1)+c*T*T*(((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2-d^2)/((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2)^2)*x7(i-1)-1/2*T*T*c1*x14(i-1)+1/2*T*T*c1*x15(i-1);
    x7(i)=x7(i-1)+T*x15(i-1)-c*T*T*(((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2-d^2)/((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2)^2)*x7(i-1)+c*T*T*(((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2-d^2)/((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2)^2)*x8(i-1)-1/2*T*T*c1*x15(i-1)+1/2*T*T*c1*x16(i-1);
    x8(i)=x8(i-1)+T*x16(i-1)-c*T*T*(((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2-d^2)/((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2)^2)*x8(i-1)+c*T*T*(((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2-d^2)/((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2)^2)*x5(i-1)-1/2*T*T*c1*x16(i-1)+1/2*T*T*c1*x13(i-1);
   
    x9(i)=x9(i-1)-2*T*c*(((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2-d^2)/((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2)^2)*x1(i-1)+2*c*T*(((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2-d^2)/((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2)^2)*x2(i-1)-T*c1*x9(i-1)+T*c1*x10(i-1);
    x10(i)=x10(i-1)-2*T*c*(((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2-d^2)/((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2)^2)*x2(i-1)+2*c*T*(((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2-d^2)/((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2)^2)*x3(i-1)-T*c1*x10(i-1)+T*c1*x11(i-1);
    x11(i)=x11(i-1)-2*T*c*(((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2-d^2)/((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2)^2)*x3(i-1)+2*c*T*(((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2-d^2)/((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2)^2)*x4(i-1)-T*c1*x11(i-1)+T*c1*x12(i-1);
    x12(i)=x12(i-1)-2*T*c*(((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2-d^2)/((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2)^2)*x4(i-1)+2*c*T*(((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2-d^2)/((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2)^2)*x1(i-1)-T*c1*x12(i-1)+T*c1*x9(i-1);
   
    x13(i)=x13(i-1)-2*T*c*(((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2-d^2)/((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2)^2)*x5(i-1)+2*c*T*(((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2-d^2)/((x2(i-1)-x1(i-1))^2+(x6(i-1)-x5(i-1))^2)^2)*x6(i-1)-T*c1*x13(i-1)+T*c1*x14(i-1);
    x14(i)=x14(i-1)-2*T*c*(((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2-d^2)/((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2)^2)*x6(i-1)+2*c*T*(((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2-d^2)/((x3(i-1)-x2(i-1))^2+(x7(i-1)-x6(i-1))^2)^2)*x7(i-1)-T*c1*x14(i-1)+T*c1*x15(i-1);
    x15(i)=x15(i-1)-2*T*c*(((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2-d^2)/((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2)^2)*x7(i-1)+2*c*T*(((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2-d^2)/((x4(i-1)-x3(i-1))^2+(x8(i-1)-x7(i-1))^2)^2)*x8(i-1)-T*c1*x15(i-1)+T*c1*x16(i-1);
    x16(i)=x16(i-1)-2*T*c*(((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2-d^2)/((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2)^2)*x8(i-1)+2*c*T*(((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2-d^2)/((x1(i-1)-x4(i-1))^2+(x5(i-1)-x8(i-1))^2)^2)*x5(i-1)-T*c1*x16(i-1)+T*c1*x13(i-1);
     k(i)=k(i-1)+1;
end

i=1:n;
%   plot(k,x9(,'g')
%   hold on;
%   plot(k,x10(,'b')
%   plot(k,x11(,'r')
%   plot(k,x12(,'c')
%   xlabel('T-步')
% ylabel('m/s-速度')
% legend('自主体',1);

plot(x1(,x5(,'g')
  hold on;
  plot(x2(,x6(,'b')
  plot(x3(,x7(,'r')
  plot(x4(,x8(,'c')
  xlabel('x轴位移')
ylabel('y轴位移')
legend('自主体',1);

  
%   plot(i-1,x13(,'g')
%    hold on;
%   plot(i-1,x14(,'b')
%   plot(i-1,x15(,'r')
%   plot(i-1,x16(,'c')
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