Blog

I have the following code ContourPlot[((11 – j*l)/-j^2)^0.5, {l, 0, 10}, {j, 0, 10}] which generates: How can I color the outer region of curves instead of inside? Something like this: Basically I wanted to show the inside of the volume of the following figure with contour (not outside the volume): or Code: RegionPlot3D[-j^2*y^2 +Read more

I am trying to plot the time track of contour plot, something like this: Here is the example code: erfx[x_] = Erf[(x – .9)/.1] – Erf[(x – 1)/.1]; erfy[y_] = Erf[(y – 9.9)/.1] – Erf[(y – 10)/.1]; erfxy[x_, y_] = 22.783336 erfx[x] erfy[y]; ic = {u[0 , x, y] == erfxy[x, y]}; bc = {DirichletCondition[u[t,Read more

There is an integral of a complex function to calculate: $ $ \oint_{|z|=2015}\frac{3i(z^3+z-2)}{\pi(z-3)}e^{-\frac{1}{z}}dz,$ $ where the contour is a circle of radius 2015. Calculating it manually I get the answer $ -116$ . But the next command in MATHEMATICA: z = 2015 Exp[I w]; Integrate[(3 I (z^3 + z – 2))/(\[Pi] (z – 3)) Exp[-(1/z)],Read more

I made a finite element code and I want to show the stress distribution over the domain. The domain is shown below and I know the value of the data at the middle of each quadrilateral element. I can use Graphics and assign a color to each quadrilateral depending on the intensity of the stressRead more

I need to numerically compute the hypergeometric function $ $ _2F_1(k,1,c,z) $ $ where $ k$ is an integer, $ c>2$ is a real number and $ |z|<1$ , using the integral representation $ $ {}_2F_1[a,b;c;z] = {i \, \Gamma(c) \, e^{i\pi (b-c)} \over \Gamma(b) \Gamma(c-b) 2 \sin (\pi(c-b))} \int^{(1+)}_{0} t^{b-1} (1-t)^{c-b-1}(1-t z)^{-a} dt\,, $Read more