Multiple integrals with limits as variables

7 views (last 30 days)
I have the function f(z,w,l) and I want to obtain a function g(z) by integrating f(z,w, l) as follows: I need to integrate f for 0 < l < w and then perform the integral for 0 < w < L; where L is a constant. Note that w is a variable while L is a number. I would appreciate any suggestions. Thanks

Accepted Answer

Mike Hosea
Mike Hosea on 16 Sep 2014
Edited: Mike Hosea on 16 Sep 2014
function_of_scalar_z_only = @(z)integral2(@(w,l)f(z,w,l),0,L,0,@(w)w);
g = @(z)arrayfun(function_of_scalar_z_only,z);
Depending on how f is written, you may need to manually expand the scalar z.
function_of_scalar_z_only = @(z)integral(@(w,l)f(z*ones(size(w)),w,l),0,L,0,@(w)w);
g = @(z)arrayfun(function_of_scalar_z_only,z);
As the long function name suggests, that first function is only good for a scalar input. The ARRAYFUN modification "vectorizes" it so you can do all the usual things with g that you want, e.g. things like
x = linspace(zmin,zmax);
y = g(x);
plot(x,y);

More Answers (0)

Categories

Find more on Programming in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!