Linked Questions

8 votes
1 answer
566 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 ...
James He's user avatar
1 vote
2 answers
461 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 ...
Pascal77's user avatar
  • 195
1 vote
3 answers
143 views

DSolve returns no result

I'd like to solve a partial differential equation on a infinite strip. My code is the following: ...
fasdgr's user avatar
  • 407
4 votes
1 answer
432 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) = \...
apt45's user avatar
  • 1,648
0 votes
1 answer
176 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)^...
Bob Lin's user avatar
  • 445
2 votes
1 answer
244 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 ...
freddy90's user avatar
  • 851
1 vote
1 answer
320 views

error with NDSolve of PDE with Neumann conditions

I'm trying to solve the nonlinear "reaction-diffusion" system with Neumann conditions: ...
Artem Zefirov's user avatar
3 votes
0 answers
51 views

How to fix the inaccuracy of NDSolveValue [duplicate]

...
Gappy Hilmore's user avatar
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,\;\...
Feyre's user avatar
  • 8,597
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 ...
seb's user avatar
  • 155