ODE45 error message "Error using exist The first input to exist must be a string scalar or character vector"

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Below is my code to solve a population balance:
global param w0 w
param0=[1 1 1 1]
param=param0
param=fminsearch(lau,param0)
psi_lau=param(1)
alfa_lau=param(2)
beta_lau=param(3)
epsilon_lau=param(4)
function sse=lau(param)
global param w0 w t
w0=[0.1 0.2 0.23 0.4 0.2 0.1 0.1 0.01];
w=w0
t0=[0 0 0 0 0 0 0 0];
tp=[5 5 5 5 5 5 5 5];
t=t0
[t,w]=ode45(grinding,[t0 tp],w0)
wdata= [1 1 1 1 1 1 1 1 ; % weight fraction pada t=60
1 1 1 1 1 1 1 1 ; % weight fraction pada t=120
1 1 1 1 1 1 1 1 ; % weight fraction pada t=180
1 1 1 1 1 1 1 1 ; % weight fraction pada t=240
1 1 1 1 1 1 1 1 ]; % weight fraction pada t=300
%w= (2*param(1)^2).*wdata; % weight fraction hasil simulasi
sse=sum(sum((wdata-w).^2)'); % sums of square error
end
function dwdt=grinding(t,w)
global param w0 w
x=[0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2];
w
param
for k=1:length(x)
S(k)=(param(2)*x(k)^param(3))/(1+x(k)^param(4));
for u=2:k
deltaB(k,u)=((x(k-1))/x(u))^param(1)-((x(k)/x(u))^param(1));
end
end
for k=1:length(x)
WS(k)=w(k).*S(k);
end
S
deltaB
summation=WS*deltaB
for k=1:length(x)
dwdt(k)=summation(k)-S(k)*w(k);
end
dwdt
end
It trigger an error of
Error using exist
The first input to exist must be a string scalar or character vector.
Error in odearguments (line 59)
if (exist(ode)==2)
Error in ode45 (line 115)
odearguments(FcnHandlesUsed, solver_name, ode, tspan, y0, options, varargin);
Error in Optimize>lau (line 26)
[t,w]=ode45(grinding,[t0 tp],w0)
Error in Optimize (line 8)
param=fminsearch(lau,param0)
Could anybody help to solve the issue, sorry to put a lot of tracker for debuging purpose, thanks

采纳的回答

Torsten
Torsten 2019-2-5
编辑:Torsten 2019-2-5
param = fminsearch(@lau,param0)
[t,w] = ode45(@grinding,[t0 tp],w0)

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