Error using %4122905695>@()NaN Too many input arguments.

Hi, I am getting the error message above from my codes. How can I overcome this error message? Any help is appreciated.

My codes are below.

format long
clear all
close all
clc
syms x
syms y
%syms t

q=0.2; %W/cm2
a=0.25; %cm
L1=0.5; %cm
L2=1.5; %cm
h=0.001; %W/cm2.K
k=0.011; %W/cm.K
T_ambient=23;
T_initial=T_ambient;
alpha=0.0005789;%k/ro*c
delt=0.0220; %delt stands for deltatime<=(delx^2)/2alfa    
Ts=1;

T=0;
for i=1:10
lambda=(i*pi)/(2*L2);
int1=integral(@(x)(q*cos(lambda*x)),L2-a,L2+a);
int2=integral(@(x)((cos(lambda*x)).^2),L2-a,L2+a);
Cn=int1./int2;
A2B1=-Cn./(k*lambda);
p1=(k.*lambda.*cosh(lambda.*L1))+(h.*sinh(lambda.*L1));
p2=(h.*cosh(lambda.*L1))+(k.*lambda.*sinh(lambda.*L1));
B3=p1./p2;
T=T+(A2B1.*cos(lambda.*x)).*(sinh(lambda.*y)-B3.*cosh(lambda.*y));
end
theta=0+T_initial;
for t=1:Ts
    for m=1:1
            mu=(m*pi)/(2*L2);        
        for n=1:1
            beta=-662.09*n+3755.8;
            int3=integral(@(x)(cos(mu.*x).^2),0,2*L2);
            int4=integral(@(y)(cos(beta.*y).^2),0,L1);
            ht=matlabFunction(-T.*cos(mu.*x)*cos(beta.*y));
            int5=integral2(ht,0,(2*L2),0,L1,'RelTol',1e-12,'AbsTol',1e-14,'Method','iterated');
            Fmn=int5/(int3*int4);
            qt=(Fmn.*cos(mu.*x)*cos(beta.*y)*exp(-alpha*(mu.^2+beta.^2).*t));
            theta=theta+qt;
        end
    end
    figure
    ezcontourf(theta+T,[0 3],[0 0.5]);
    xlabel('x [cm]')
    ylabel('y [cm]')
    title('Temperature Distribution [C]')
end

[Image Analyst]

%4122905695>@()NaN is not a function name. Please post the entire error message - line number and code and everything - not just part of it. In other words, paste ALL the red text not just some of it.

[fibisoglu]

Answer 1

[Walter Roberson]

Your integral2() is failing, and when it does, NaN is being returned. When the NaN is added to the symbolic formula being created, NaN is the result, so your T ends being NaN, rather than a formula in x and y that happens to produce NaN. ezcontour() then fails because it is expecting a formula in two variables.

The easiest fix is to convert everything to symbolic. I have attached the revised code.

[fibisoglu]

Thank you!