# PDE Toolbox solution array along a line, to then find the mean value

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I'm have solved Poisson's equation for simple rectangular geometry using the PDE Toolbox. I exported the solution and mesh and now I want to find u along a line so that I can then find its average.

It is a rectangle with bottom boundary at y = -0.8 and x = -0.5 to 0.4. This is what I was trying to type in the command line:

F = pdeInterpolant(p,t,u);

x = -0.5:0.4;

y = -0.8;

uOut = evaluate(F,x,y)

But this only returns one value. I am looking for an array of values so that I can use mean(uOut) to find the average.

I also want to find the the mean normal component of u into the page at the same position.

Any help greatly appreciated.

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### Accepted Answer

Bill Greene
on 29 Jan 2015

The evaluate function is returning only one value because the length of your x and y vectors is one. Maybe you want something like this:

F = pdeInterpolant(p,t,u);

n = 10;

x = linspace(-.5,.4,n);

y(1:n) = -.8;

uOut = evaluate(F,x,y)

to interpolate along the line between x=-.5 and x=.4

##### 2 Comments

Bill Greene
on 31 Jan 2015

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