program z1 real(8),allocatable,dimension(:)::t,x,y,y0,pr,p real(8),allocatable,dimension(:)::x1,x2,y1,y2,x3,y3 real(8)::k1,k2,k3,k4,s1,s2,s3,s4,v0 integer::n real(8)::r1,r2,r3,h,k,g,dy,ds,hh,m,f,ff real(8)::c1,c2,c3,kk,cc1,rs1,rs2,w n=1000 h=0.1 rs1=0.01 rs2=0.03 v0=2 m=10 f=0.01 w=0.02 allocate(y(n+2),y0(n+2),x(n+2),t(n+2),pr(n+2),p(n+2),y1(n+2),y2(n+2),x1(n+2),x2(n+2),y3(n+2),x3(n+2)) y1(1)=0 x1(1)=v0 y(1)=0 x(1)=v0 y2(1)=0 x2(1)=v0 do i=1,n t(i)=(i-1)*h y0(i)=V0*(m/k)**(1/2)*sin(((k/m)**(1/2)*t(i))) end do k=rs1*1000 kk=rs2*100 c1=1/m c2=-c1 !!first do i=1,n k1=h*x(i) s1=c2*h*(y(i)+x(i)) k2=h*(x(i)+s1/2) s2=c2*h*(k*(y(i)+k1/2)+kk*(x(i)+s1/2)) k3=h*(x(i)+s2/2) s3=c2*h*((y(i)+k2/2) + kk*(x(i)+s2/2)) k4=h*(x(i)+s3) s4=c2*h*(k*(y(i)+k3) +kk*(x(i)+s3)) dy=(k1+2*k2+2*k3+k4)/6 ds=(s1+2*s2+2*s3+s4)/6 y(i+1)=dy+y(i) x(i+1)=ds+x(i) end do !!-kx do i=1,n k1=h*x1(i) s1=c2*h*(y1(i)+x1(i)) k2=h*(x1(i)+s1/2) s2=c2*h*k*((y1(i)+k1/2)+kk*(x1(i)+s1/2)) k3=h*(x1(i)+s2/2) s3=c2*h*k*((y1(i)+k2/2) + kk*(x1(i)+s2/2)) k4=h*(x1(i)+s3) s4=c2*h*k*((y1(i)+k3) +kk*(x1(i)+s3)) dy=(k1+2*k2+2*k3+k4)/6 ds=(s1+2*s2+2*s3+s4)/6 y1(i+1)=dy+y1(i) x1(i+1)=ds+x1(i) end do !!-kx+f do i=1,n k1=h*x2(i) s1=c2*h*(y2(i)+x2(i)+f) k2=h*(x2(i)+s1/2) s2=c2*h*(k*(y2(i)+k1/2)+kk*(x2(i)+s1/2+f)) k3=h*(x2(i)+s2/2) s3=c2*h*((y2(i)+k2/2) + kk*(x2(i)+s2/2+f)) k4=h*(x2(i)+s3) s4=c2*h*(k*(y2(i)+k3) +kk*(x2(i)+s3+f)) dy=(k1+2*k2+2*k3+k4)/6 ds=(s1+2*s2+2*s3+s4)/6 y2(i+1)=dy+y2(i) x2(i+1)=ds+x2(i) end do !!-kx+fsinwt do i=1,n ff=sin(w*(i-1)*h) k1=h*x3(i) s1=c2*h*(y3(i)+x3(i)+ff) k2=h*(x3(i)+s1/2) s2=c2*h*(k*(y3(i)+k1/2)+kk*(x3(i)+s1/2+ff)) k3=h*(x3(i)+s2/2) s3=c2*h*((y3(i)+k2/2) + kk*(x3(i)+s2/2+ff)) k4=h*(x3(i)+s3) s4=c2*h*(k*(y3(i)+k3) +kk*(x3(i)+s3+ff)) dy=(k1+2*k2+2*k3+k4)/6 ds=(s1+2*s2+2*s3+s4)/6 y3(i+1)=dy+y3(i) x3(i+1)=ds+x3(i) end do do i=1,n print*,y0(i) end do end
Standard input is empty
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