complex closed contour integral
30 views (last 30 days)
Show older comments
plz explain to me how can I use matlab programe for solution of complex contour integral :
example : find ∮((z+1)dz)/(z^3-2z^2 ) around z-2=1 where 1 is Radius of the circle ?
when I solution it Manually the result was equal:-π*i
Accepted Answer
Torsten
on 12 Mar 2015
fun=@(z)(z+1)/(z^3-2*z^2);
g=@(theta)2+cos(theta)+1i*sin(theta);
gprime=@(theta)-sin(theta)+1i*cos(theta);
q1 = integral(@(t) fun(g(t)).*gprime(t),0,2*pi)
Best wishes
Torsten.
10 Comments
More Answers (1)
Torsten
on 13 Mar 2015
What about
fun=@(z)(z+1)./(z.^3-2*z.^2);
g=@(theta)(1+2*cos(theta))+1i*(2+2*sin(theta));
gprime=@(theta)-2*sin(theta)+1i*2*cos(theta);
q1=quad(@(t) fun(g(t)).*gprime(t),0,2*pi)
Best wishes
Torsten.
3 Comments
Torsten
on 10 Apr 2022
What graph ? The result is the value of the contour integral - thus a single number.
See Also
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!