Double or higher order integration by numerical method

1 view (last 30 days)
%% For example I am using trapazoidal rule for integration as below
%%
function s=traorl(fun,a,b,M)
h=(b-a)/M
s=0
for k=1:(M-1)
x=a+k*h
s=s+feval(fun,x)
end
s=h*(feval(fun,a)+feval(fun,b))/2+h*s
end
%% I using fun=@(x) a*sin(y)*exp(-b*x+c), and integration with respect to x is done as below
syms a b c x y
fun=@(x) a*sin(y)*exp(-b*x+c)
A=traorl(fun,0,1,5)
%% Integration with respect to x is ok. I wants to integrate again with respect to y by the same function "traorl", But How can I do it as "traorl" function integrate with %%respect to x only. If there is another suggestion or solution do you have then please give me.
%% I wants to do integration only by these numerical method, not by direct integral command.

Answers (1)

Torsten
Torsten on 13 Feb 2019
Divide the y-interval of integration into subintervals
ystart = y1 < y2 < y3 < ... < yn = yend
and call your function "traorl" in a loop for all these values for y.
Let the results be Iy1,...,Iyn.
Finally call "traorl" with these Iy1,...,Iyn to sum them up in y-direction.
Best wishes
Torsten.

Categories

Find more on Symbolic Math Toolbox 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!