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Solve the system of nonlinear equations (with symbolic variables) with the command fsolve

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iraj mohammadpour
iraj mohammadpour 2022-6-16
评论： iraj mohammadpour 2022-6-16
C1 The output of the following program is a set of nonlinear equations. How to solve it with the fsolve command. For different N and M.
clc
close all
clear all
syms t f alpha
f1=2*t-t^4+(2/gamma(7/3))*t^(4/3);
alpha=1/3;
N=2;
M=2;
l=N*M;
for n=1:N
for m=0:M-1
kesy((n-1)M+m+1,1)=nchoosek(M-1,m)(N*t-n+1)^(m)*(n-N*t)^(M-1-m);
end
end
kesy;
for n=0: N-1
for m=0:M-1
for i=0:M-1
A(n*M+m+1,n*M+i+1)=N*M*int(kesy(n*M+m+1,1),(n*M+i)/(N*M),(n*M+i+1)/(N*M));
end
end
end
A;
B=inv(A);
if l==1 P=(1/l)^alpha*(1/gamma(alpha+2));
else
for k=1:l-1
f(k)=(k+1)^(alpha+1)-2*k^(alpha+1)+(k-1)^(alpha+1);
end
f;
for i=1:l
for j=1:l
if i==j F(i,j)=1;
elseif i>j F(i,j)=0;
elseif i<j F(i,j)=f(j-i);
end
end
end
P1=(1/l)^alpha*(1/gamma(alpha+2))*F;
end
F=P1;
P=A*F*B;
for n=1:l
coeff(n)=l*int(f1,(n-1)/l,n/l);
end
w=coeff;
fT=w*A;
C=sym('c%d',[1,l]);
FA=C*P*A;
C1=C*A+C*P*A-FA.^2-fT;
C1=transpose(C1)

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回答（1 个）

Steven Lord
Steven Lord 2022-6-16
fsolve is intended to solve a system of equations numerically. Since your system of equations involves symbolic variables you will need to use solve or vpasolve from Symbolic Math Toolbox to solve them.
  1 个评论
iraj mohammadpour
iraj mohammadpour 2022-6-16
Hello
thanks for your response.
I want to solve the output of the above program C1, which is a system of nonlinear equations, with the fsolve command. For different N and M.

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