How to estimate three parameters in BVP5C

1 view (last 30 days)
I am trying to estimate three (unknown) parameters, c, N_0 and C_0 using BVP5C. The boundary problem I wish to solve consists of 4 first order ODEs, and 7 boundary conditions (4 for the variables, 3 required for the unknown parameters). Here is my code
xmesh = linspace(-50,-0.001,1000);
p = [0.3 0.01 0.5];
solinit = bvpinit(xmesh, @guess, p);
sol = bvp5c(@bvpfcn, @bcfcn, solinit);
Y=sol.y;
C=sol.parameters;
figure(5)
hold off
plot(sol.x, Y(2,:),sol.x, Y(4,:),'LineWidth',2)
function dydx = bvpfcn(~,y,c) % equation to solve
kappa = 2; sigma=0.01;
dydx = [(-c*y(1)-y(1)^2)/y(2)-kappa*(1-y(2))*y(4)+(1-y(4));
y(1);
sigma*y(2)*y(4);
y(3)];
end
%--------------------------------
function res = bcfcn(ya,yb,c,N_0,C_0) % boundary conditions
C_inf = 0.8; sigma = 0.01; M=50; kappa=2; gamma=-kappa*C_inf-1+C_inf;
res = [ ya(1)-gamma*N_0*exp(M*gamma/c)/c;
ya(2)-N_0*exp(M*gamma/c);
ya(3)-sigma*N_0*exp(M*gamma/c);
ya(4)-sigma*N_0*exp(M*gamma/c)-C_0;
yb(1)+c;
yb(2);
yb(4)-C_inf;
];
end
function g = guess(x)
g=[ -(x+1)*exp(x);
-x*exp(x);
0.5*exp(x);
0.5*(1+exp(x));
];
end
and I recieve the error message
Not enough input arguments.
Error in StefanCompetitionBVP>bcfcn (line 22)
res = [ ya(1)-gamma*N_0*exp(M*gamma/c)/c;
Error in bvparguments (line 106)
testBC = bc(ya,yb,bcExtras{:});
Error in bvp5c (line 137)
bvparguments(solver_name,ode,bc,solinit,options);
Error in StefanCompetitionBVP (line 5)
sol = bvp5c(@bvpfcn, @bcfcn, solinit);
I'm aware I'm messing up badly somewhere, I'm just not sure how to pass my unknown parameters to my local functions properly. Thanks.

Answers (0)

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!