MATLAB: Hiii all, i am trying to minimize the problem n want to get the plot…program is getting minimized but plot is not coming… m sending program also n the expected plot image also….plzzz plzzz plzzz do help

minimization problemSymbolic Math Toolbox

clear ; clc
syms beeta n
alpha=1;
t=0.2;
w0=1;
N=3;
p=1;
M=@(beeta)(1+(beeta)^2+((beeta))./4+((beeta))./36)+...
2*((beeta+((beeta)^3)./2+((beeta)^5)./12+((beeta)^7)./144)+...
(((beeta)^2)./2+((beeta)^4)./6+((beeta)^6)./48+((beeta)^8)./720)+...
(((beeta)^3)./6+((beeta)^5)./24+((beeta)^7)./240+((beeta)^9)./4320));
j=@(beeta,eta,alphas,h,delta) w0*(alpha*(2-eta)+2*sqrt(alpha)*(1-eta)*(h+M(beeta)*delta*exp(2*alphas)));
teff=@(beeta,eta,alphas) t*exp(alpha*eta^2*exp(-4*alphas)*...
(1+(2*beeta)^2+((2*beeta)^4)./4+((2*beeta)^6)./36)-...
((-1)*((2*beeta)+((2*beeta)^3)./2+((2*beeta)^5)./12+((2*beeta)^7)./144)));
for u=0:0.2:4
ueff=@(eta) u-2*alpha*w0*eta*(2-eta);
energy = @(beeta,eta,alphas,h,delta) -j(beeta,eta,alphas,h,delta) +w0*...
(h^2+(.5*((1+(2*beeta)^2+((2*beeta)^4)./4+((2*beeta)^6)./36)*cosh(4*alpha)-1)))+...
(.25*(ueff(eta)-abs(ueff(eta))))+...
(delta*w0.*M(beeta)*exp(2*alphas))*(2*h+delta*exp(2*alphas))-...
4*teff(beeta,eta,alphas).*quadgk(@(k)besselj(0,k).*besselj(1,k) ./...
(k.*(1+exp(k*0.5*abs(ueff(eta))/(teff(beeta,eta,alphas))))),0,inf);
engy=@(v) energy(v(1),v(2),v(3),v(4),v(5));
options = optimoptions('fminunc','Algorithm','quasi-newton');
xstart=[0.001,0.002,0.001,0.001,0.002];
[xmin,ymin]=fminunc(engy,xstart,options);
fprintf('minimum Enrgy = %f \n',ymin) ;
x(p)= u;
y(p)= ymin;
p=p+1 ;
end
hold all
plot(x,y)

Best Answer

For the first u (at least), energy(0,-10^100,0,0,0) is -inf, so the search is unbounded.
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