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

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)

Answer 1

[Steven Lord]

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.

[iraj mohammadpour]

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.