好的,谢谢,程序如下:
solution:=proc(n)
local i,j,k,m,A1,A2,B1,B2,C,f,F1,F2,G,H,myA,myb,temp:
global dx,X,Dr1,Dp1,Dr2,Dp2,Omega:
for i from 1 to N do
f:=subs(eps=0,diff(dx,eps$n)/n!):
od:
for i from 1 to N do
for j from 1 to n do
f:=f-(diff(X[i,n-j],r1)*Dr1[j]+diff(X[i,n-j],phi1)*Dp1[j]
+diff(X[i,n-j],r2)*Dr2[j]+diff(X[i,n-j],phi2)*Dp2[j]):
od:
f:=combine(f,trig):
od:
X[1,n]:=-A1[1]*cos(T0)-B1[1]*sin(T0):
X[3,n]:=-A2[1]*cos(T0)-B2[1]*sin(T0):
for i from 0 to Omega*(n+1) do
X[1,n]:=X[1,n]+A1*cos(i*T0)+B1*sin(i*T0):
X[3,n]:=X[3,n]+A2*cos(i*T0)+B2*sin(i*T0):
od:
F1:=diff(X[1,n],T0$2)+X[1,n]-diff(f[1],T0)+f[2]:
F2:=diff(X[3,n],T0$2)+X[3,n]-diff(f[3],T0)+f[4]:
G[1]:=F1:
separate1(n,Omega,G):
derivative(G[1],phi1,Dr1[n],Dp1[n]):
separate2(n,Omega,G,F1,A1,B1):
X[1,n]:=combine(X[1,n],trig):
X[2,n]:=combine(f[1]-diff(X[1,n],T0),trig):
G[1]:=F2:
separate1(n,Omega,G):
derivative(G[1],phi2,Dr2[n],Dp2[n]):
separate2(n,Omega,G,F2,A2,B2):
X[3,n]:=combine(X[3,n],trig):
X[4,n]:=combine(f[3]-diff(X[3,n],T0),trig):
if N1 <> 0 then
for i from 5 to N1+4do
A1:='A1':
B1:='B1':
X[i,n]:=A1[0]:
for j from 1 to Omega*(n+1) do
X[i,n]:=X[i,n]+A1[j]*cos(j*T0)+B1[j]*sin(j*T0):
od:
F1:=combine(diff(X[i,n],T0)-f,trig):
G[1]:=F1:
separate3(n,Omega,G):
for j from 1 to Omega*(n+1) do
G[j]:=subs(T0=T/j,G[j]):
G[j]:=expand(G[j],T):
for k from 1 to 2 do
if k=1 then
temp:=coeff(G[j],cos(T)):
else
temp:=coeff(G[j],sin(T)):
fi:
C[k,1]:=coeff(temp,A1[j]):
C[k,2]:=coeff(temp,B1[j]):
C[k,3]:=C[k,1]*A1[j]+C[k,2]*B1[j]-temp:
od:
myA:=array([[C[1,1],C[1,2]],[C[2,1],C[2,2]]]):
myb:=array([C[1,3],C[2,3]]):
myb:=linsolve(myA,myb):
A1[j]:=combine(myb[1],trig):
B1[j]:=combine(myb[2],trig):
od:
G[0]:=combine(F1,trig):
if G[0] <> 0 then
A1[0]:=solve(G[0],A1[0]):
fi:
X[i,n]:=combine(X[i,n],trig):
od:
fi:
if N2 <> 0 then
for i from N1+5 by 2 to N do
A1:='A1':
B1:='B1':
A2:='A2':
B2:='B2':
X[i,n]:=A1[0]:
X[i+1,n]:=A2[0]:
for j from 1 to Omega*(n+1) do
X[i,n]:=X[i,n]+A1[j]*cos(j*T0)+B1[j]*sin(j*T0):
X[i+1,n]:=X[i+1,n]+A2[j]*cos(j*T0)+B2[j]*sin(j*T0):
od:
F1:=combine(diff(X[i,n],T0)-f,trig):
F2:=combine(diff(X[i+1,n],T0)-f[i+1],trig):
G[1]:=F1:
H[1]:=F2:
separate3(n,Omega,G):
separate3(n,Omega,H):
for j from 1 to Omega*(n+1) do
G[j]:=subs(T0=T/j,G[j]):
H[j]:=subs(T0=T/j,H[j]):
G[j]:=expand(G[j],T):
H[j]:=expand(H[j],T):
for k from 1 to 4 do
if k=1 then
temp:=coeff(G[j],cos(T)):
elif k=2 then
temp:=coeff(G[j],sin(T)):
elif k=3 then
temp:=coeff(H[j],cos(T)):
elif k=4 then
temp:=coeff(H[j],sin(T)):
fi:
C[k,1]:=coeff(temp,A1[j]):
C[k,2]:=coeff(temp,B1[j]):
C[k,3]:=coeff(temp,A2[j]):
C[k,4]:=coeff(temp,B2[j]):
C[k,5]:=C[k,1]*A1[j]+C[k,2]*B1[j]
+C[k,3]*A2[j]+C[k,4]*B2[j]-temp:
od:
myA:=array([[C[1,1],C[1,2],C[1,3],C[1,4]],
[C[2,1],C[2,2],C[2,3],C[2,4]],
[C[3,1],C[3,2],C[3,3],C[3,4]],
[C[4,1],C[4,2],C[4,3],C[4,4]]]):
myb:=array([C[1,5],C[2,5],C[3,5],C[4,5]]):
myb:=linsolve(myA,myb):
A1[j]:=combine(myb[1],trig):
B1[j]:=combine(myb[2],trig):
A2[j]:=combine(myb[3],trig):
B2[j]:=combine(myb[4],trig):
od:
G[0]:=combine(F1,trig):
if G[0] <> 0 then
A1[0]:=solve(G[0],A1[0]):
fi:
G[0]:=combine(F2,trig):
if G[0] <> 0 then
A2[0]:=solve(G[0],A2[0]):
fi:
X[i,n]:=combine(X[i,n],trig):
X[i+1,n]:=combine(X[i+1,n],trig):
od:
fi:
end:
dx[1]:=Dx[1]+x[2]:
dx[2]:=Dx[2]-x[1]:
dx[3]:=Dx[3]+x[4]:
dx[4]:=Dx[4]-x[3]:
if N > 4 then
for i from 5 to N do
dx:=Dx:
od:
fi:
for i from 1 to N do
x:=0:
for j from 0 to norder do
x:=x+X[i,j]*eps^j:
od:
od:
Dr1[0]:=0:
Dr2[0]:=0:
Dp1[0]:=1:
Dp2[0]:=1:
X[1,0]:=r1*cos(T0+phi1):
X[2,0]:=r1*sin(T0+phi1):
X[3,0]:=r2*cos(T0+phi2):
X[4,0]:=r2*sin(T0+phi2):
if N > 4 then
for i from 5 to N do
X[i,0]:=0:
od:
fi:
for i from 1 to norder do
print('For order-',i,' solution:'):
solution(i):
od:
for i from 1 to N do
x=x:
od:
save norder,Dr1,Dp1,Dr2,Dp2,output:
麻烦各位前辈帮忙看一下是怎么出错的,提示错误为:
Error, unable to match delimiters。
[ 本帖最后由 liertwx 于 2008-11-1 20:11 编辑 ] |