Student Support Forum: 'Laplace in polar coordinates' topicStudent Support Forum > General > "Laplace in polar coordinates"

 Next Comment > Help | Reply To Topic
 Author Comment/Response Dustin 10/08/12 11:28am I am trying to make a contour plot of the Laplace equation in polar coordinates on the wedge from 0 < theta < Pi/2 Will this work? Every time I run it, it says running and never does anything or gives an error. Just a constant running. Nmax = 50; \[Lambda] = Table[2 n - 1, {n, 1, Nmax}]; r[x_, y_] = Sqrt[x^2 + y^2]; \[Theta][x_, y_] = ArcTan[x, y]; f[\[Theta]_] = \[Theta]; B = Table[(1/(r[x, y]^{\[Lambda][[n]]}*Pi))* Integrate[ f[\[Theta][x, y]]*Sin[\[Lambda][[n]]*\[Theta][x, y]], {x, 0, 1}, {y, 0, 1}], {n, 1, Nmax}]; u[r[x, y], \[Theta][x, y]] = Sum[B[[n]]*Sin[\[Lambda][[n]]*\[Theta][x, y]]* r[x, y]^{\[Lambda][[n]]}, {n, 1, Nmax}]; ContourPlot[u[r[,x], \[Theta][x,y]], {x, 0, 1}, {y, 0, 1}, PlotRange -> All, ColorFunction -> "Rainbow"] URL: ,

 Subject (listing for 'Laplace in polar coordinates') Author Date Posted Laplace in polar coordinates Dustin 10/08/12 11:28am Re: Laplace in polar coordinates Bill Simpson 10/08/12 6:22pm Re: Laplace in polar coordinates Bill Simpson 10/08/12 8:36pm
 Next Comment > Help | Reply To Topic