Error using + Matrix dimensions must agree. I want to find the value of Mt. Kindly help me clear the error.

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Swathi S
Swathi S on 4 Feb 2021
Answered: VBBV on 29 Oct 2021
CODE:
a=0.1
s=0.01
N=5
wd=0.002906
d=5
for a1=a-((N-1)*(wd+s)):(wd+s):a
for b1=a-((N-1)*(wd+s)):(wd+s):a
r1=@(x,y) sqrt((x+a1).^2+(y+b1).^2+d.^2)
r2=@(x,y) sqrt((a1-x).^2+(y+b1).^2+d.^2)
r3=@(x,y) sqrt((a1-x).^2+(y-b1).^2+d.^2)
r4=@(x,y) sqrt((x+a1).^2+(y-b1).^2+d.^2)
C1=@(x) a1+x
C4=@(x) -a1-x
C2=@(x) a1-x
C3=@(x) -a1+x
d1=@(y) y+b1
d2=@(y) y+b1
d3=@(y) y-b1
d4=@(y) y-b1
fun=@(x,y) ((((u./(4.*pi)).*((((((-1).^1).*d1(y))./(r1(x,y).*(r1(x,y)+((-1).^(1.+1)).*C1(x))))-(C1(x)./(r1(x,y).*(r1(x,y)+d1(y)))))+(((((-1).^2).*d2(y))./(r2(x,y).*(r2(x,y)+(((-1).^(2.+1))).*C2(x))))-(C2(x)./(r2(x,y).*(r2(x,y)+d2(y)))))+(((((-1).^3).*d3(y))./(r3(x,y).*(r3(x,y)+(((-1).^(3.+1))).*C3(x))))-(C3(x)./(r3(x,y).*(r3(x,y)+d3(y)))))+(((((-1).^4).*d4(y))./(r4(x,y).*(r4(x,y)+((-1).^(4.+1)).*C4(x))))-(C4(x)./(r4(x,y).*(r4(x,y)+d4(y)))))))));
M = integral2(fun,-b1,b1,-b1,b1)
Mt=Mt+M
end
end
ERROR:
Error using +
Matrix dimensions must agree.
Error in @(x,y)sqrt((x+a1).^2+(y+b1).^2+d.^2)
Error in
@(x,y)((((u./(4.*pi)).*((((((-1).^1).*d1(y))./(r1(x,y).*(r1(x,y)+((-1).^(1.+1)).*C1(x))))-(C1(x)./(r1(x,y).*(r1(x,y)+d1(y)))))+(((((-1).^2).*d2(y))./(r2(x,y).*(r2(x,y)+(((-1).^(2.+1))).*C2(x))))-(C2(x)./(r2(x,y).*(r2(x,y)+d2(y)))))+(((((-1).^3).*d3(y))./(r3(x,y).*(r3(x,y)+(((-1).^(3.+1))).*C3(x))))-(C3(x)./(r3(x,y).*(r3(x,y)+d3(y)))))+(((((-1).^4).*d4(y))./(r4(x,y).*(r4(x,y)+((-1).^(4.+1)).*C4(x))))-(C4(x)./(r4(x,y).*(r4(x,y)+d4(y)))))))))
Error in integral2Calc>integral2t/tensor (line 228)
Z = FUN(X,Y); NFE = NFE + 1;
Error in integral2Calc>integral2t (line 55)
[Qsub,esub] = tensor(thetaL,thetaR,phiB,phiT);
Error in integral2Calc (line 9)
[q,errbnd] = integral2t(fun,xmin,xmax,ymin,ymax,optionstruct);
Error in integral2 (line 106)
Q = integral2Calc(fun,xmin,xmax,yminfun,ymaxfun,opstruct);
Error in test (line 110)
M = integral2(fun,-b1,b1,-b1,b1)
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Answers (2)

Shiva Kalyan Diwakaruni
Shiva Kalyan Diwakaruni on 10 Feb 2021
Hi,
You can try declaring and defining variables like u and Mt to see if the code is working . Error is occuring due to variable u and Mt not being defined.
thanks.

VBBV
VBBV on 29 Oct 2021
a=1.5; % make good guess
s=0.01;
N=5;
wd=0.002906;
d=5;
u=2; % guess
i = 1;
a1=a-((N-1)*(wd+s)):(wd+s):a;
b1=a-((N-1)*(wd+s)):(wd+s):a
b1 = 1×5
1.4484 1.4613 1.4742 1.4871 1.5000
for a1=a-((N-1)*(wd+s)):(wd+s):a
for b1=a-((N-1)*(wd+s)):(wd+s):a
r1=@(x,y) sqrt((x+a1).^2+(y+b1).^2+d.^2);
r2=@(x,y) sqrt((a1-x).^2+(y+b1).^2+d.^2);
r3=@(x,y) sqrt((a1-x).^2+(y-b1).^2+d.^2);
r4=@(x,y) sqrt((x+a1).^2+(y-b1).^2+d.^2);
C1=@(x) a1+x;
C4=@(x) -a1-x;
C2=@(x) a1-x;
C3=@(x) -a1+x;
d1=@(y) y+b1;
d2=@(y) y+b1;
d3=@(y) y-b1;
d4=@(y) y-b1;
fun=@(x,y) ((((u./(4.*pi)).*((((((-1).^1).*d1(y))./(r1(x,y).*(r1(x,y)+((-1).^(1+1)).*C1(x))))-(C1(x)./(r1(x,y).*(r1(x,y)+d1(y)))))+(((((-1).^2).*d2(y))./(r2(x,y).*(r2(x,y)+(((-1).^(2+1))).*C2(x))))-(C2(x)./(r2(x,y).*(r2(x,y)+d2(y)))))+(((((-1).^3).*d3(y))./(r3(x,y).*(r3(x,y)+(((-1).^(3+1))).*C3(x))))-(C3(x)./(r3(x,y).*(r3(x,y)+d3(y)))))+(((((-1).^4).*d4(y))./(r4(x,y).*(r4(x,y)+((-1).^(4+1)).*C4(x))))-(C4(x)./(r4(x,y).*(r4(x,y)+d4(y)))))))));
M(i)= integral2(fun,-b1,b1,-b1,b1); % integral value for each iteration
i=i+1;
end
end
M
M = 1×25
0.1347 0.1379 0.1411 0.1444 0.1477 0.1358 0.1390 0.1422 0.1455 0.1488 0.1368 0.1401 0.1433 0.1466 0.1500 0.1379 0.1411 0.1444 0.1478 0.1511 0.1389 0.1422 0.1455 0.1489 0.1523
Mt = sum(M)
Mt = 3.5840
plot(M);

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