I am trying to solve the heat conduction partial differential equation, I have two boundary conditions and this is how I have tried to model the DSolve argument but have failed on both occasions. Any help would be appreciated. TIARead more
I am trying to solve the heat conduction partial differential equation, I have two boundary conditions and this is how I have tried to model the DSolve argument but have failed on both occasions. Any help would be appreciated. TIARead more
I numerically calculate eigenfunctions in a different program and upload them to Mathematica as a .csv file. They are saved in a matrix form (x,y coordinates are indices, z coordinates are entry values). I would like to ‘map’ them back onto the original 3D surface to produce a heat map on said surface. How wouldRead more
Let $ \Omega$ be bounded and $ f\in C^{\alpha,\alpha/2}(\overline{\Omega})$ . Let $ u_1,u_2$ be respective solution of $ u_t -\Delta u = f(x,t) \text{ in } \Omega_T = \Omega \times (0,T)$ $ u = 0 \text{ on whole parabolic boundary}$ on $ \Omega_{T_1}$ and $ \Omega_{T_2}$ for $ T_1<T_2$ . We know there is aRead more
Hi I am trying to solve a variation of the heat equation with interaction terms and external source — actually it’s the Schrodinger-Newton equation if that’s more familiar to you. \begin{align} i \dot \psi & = -\nabla^2 \psi + \psi \phi_N + |\psi|^2\psi, \cr \nabla^2 \phi_N & = |\psi|^2, \end{align} The boundary condition is thatRead more
I’m trying to solve following PDE (heat equation): $ $ \begin{cases} u_t = a \, u_{xx} \ u(x,0) = 0\ \lim_{x\to \infty}u(x,t) =0\ \alpha\, (\theta_0-u(0,t))+\dot{q}_0=-\lambda u_x(0,t) \end{cases}$ $ Where basically I have an initial temperature of $ 0$ everywhere, a constant heat flux at the beginning of the rod, and convection between air and theRead more
Trying to solve 2-dim. heat type equation ut=y^2/2*uxx + x^2/2*uyy with initial conditions u(x,y,0)=y^2, showing maximum number of grid points error. Plz helpRead more
So I am searching and trying to combine my own formulas but figured I would offer this scenario out there for someone who is much smarter than myself. I have the following inputs: 1350 Watt heater coil Fan that can deliver 300 CFM Ambient temperature = 72 degrees F Dimensions of cylinder (so volume andRead more
I’m using Gnome in Ubuntu 17.10 (I have this same behavior with default Ubuntu desktop and vanilla Gnome) With Wayland my CPU is 45ºC With Xorg my CPU is 51ºC I’m using Xorg because i need to adjust xgamma in my laptop and I can’t do it in Wayland (I think it is not possibleRead more