Linked Questions
10 questions linked to/from 2D Heat equation: inconsistent boundary and initial conditions
16
votes
2
answers
3k
views
Boundary condition with spatial derivative is ignored by NDSolve
Consider the following differential equation:
$$\begin{align*}&\rho C_p\left(\frac{\partial T}{\partial t}\right)=k\left[\frac{\partial^2 T}{\partial x^2}\right]+\dot{q}\\
&\text{at }x=0,\;\...
- 67.6k
8
votes
1
answer
573
views
Droplet of water-alcohol mixture spreading due to evaporation-caused surface tension gradient
I am trying to solve a coupled system of PDEs for 2 functions h[t,r] and c[t,r], with initial conditions of ...
- 40.4k
1
vote
2
answers
533
views
Solving rectangular plates vibrations wave equation
I am a new Mathematica user (about 6 month) and I am trying to solve the wave equation for a rectangulare plate (not an elastic mebrane). I read some papers about this subject and my code structure is ...
- 149k
1
vote
3
answers
149
views
DSolve returns no result
I'd like to solve a partial differential equation on a infinite strip. My code is the following:
...
CommunityBot
- 1
4
votes
1
answer
475
views
Boundary conditions are not satisfied with NDSolve
I want to study the time evolution of a small perturbation around the static solution of the following Wave Equation
$$
-\partial_t^2 v(t,r) + \partial_r^2v(t,r) + \frac{2}{r}\partial_r v(t,r) = \...
- 67.6k
0
votes
1
answer
180
views
Inconsistent of initial and boundary condition in 1D PDE
I am now dealing with the 1D PDE with periodic boundary condition given by the following:
$$
\partial_{t}u(t,x) = \partial_{x}u(t,x). \quad \text{with}\quad u(0,x)=\frac{1}{\sqrt{2\pi}}e^{-(x-\pi/4)^...
- 20.3k
2
votes
1
answer
248
views
Inconsistent initial and boundary conditions in heat equation [duplicate]
I want to solve the heat equation in 1-D. When I evaluate the following
...
- 55.5k
1
vote
1
answer
329
views
error with NDSolve of PDE with Neumann conditions
I'm trying to solve the nonlinear "reaction-diffusion" system with Neumann conditions:
...
- 8,334
3
votes
0
answers
51
views
1
vote
0
answers
432
views
What am I doing wrong when using DSolve
I'm trying to solve a simple PDE in Mathematica. I just can't get Mathematica to give me an explicit analytical solution. This is the code that I made and it basically repeats in the output what I ...
- 108k