I can't figure out this array issue using an integral command

Im trying to figure out an integral from -inf to inf on a meshgrid. I keep getting an error saying arrays dont match. How do I fix this issue?

To be clear I have a meshgrid for space and time [ZZ Time]. I have an integral that needs to be calculates at every ZZ and Time where zz is from -inf to inf

ZZ=linspace(0,100,10);

Time=linspace(0,100,10);

zeta=1;

D=.36;

con=(4*D*Time);

fun=@(zz) (pi*.con).^(-1/2)*exp(-(ZZ-zz).^2/(con)).*exp(-abs(ZZ)/zeta);

output=integral(fun,-Inf,Inf)

Arrays have incompatible sizes for this operation.

Error in project>@(zz)(pi*con).^(-1/2)*exp(-(ZZ-zz).^2/(con)).*exp(-abs(ZZ)/zeta) (line 16)

fun=@(zz) (pi*con).^(-1/2)*exp(-(ZZ-zz).^2/(con)).*exp(-abs(ZZ)/zeta);

Answer 1

[Star Strider]

Use the 'ArrayValued' name-value pair —

format longE

ZZ=linspace(0,100,10);
Time=linspace(0,100,10);
zeta=1;
D=.36;
con=(4*D*Time);
fun=@(zz) (pi*con).^(-1/2)*exp(-(ZZ-zz).^2/(con)).*exp(-abs(ZZ)/zeta);
output=integral(fun,-Inf,Inf, 'ArrayValued',1)

Warning: Inf or NaN value encountered.

output = 1×10

1.0e+00 * NaN 3.585461724440791e-10 3.789098101244014e-15 4.623767377964554e-20 5.984561921181428e-25 7.999873414812673e-30 1.091435935050444e-34 1.510186593157276e-39 2.111253553715579e-44 2.974882993765993e-49

.

[Bruce Griffin]

Thank you, where can I look up those inputs and what they mean?

[Star Strider]

My pleasure!

See the documentation on the integral function, specifically Name-Value Arguments.

[Steven Lord]

The 'ArrayValued' option is listed on the integral function's documentation page, specifically in the Input Arguments section (the Name-Value Arguments subsection.)