Linked Questions

40
votes
4answers
1k views

Is there a convenient way to copy/paste text-interspersed SE code snippets into Mathematica?

Is there a way to copy and paste code snippets from SE to Mathematica if these snippets are interspersed with text? Like e.g. in Morphing Graphics, color and location in both the question and answer, ...
6
votes
4answers
369 views

What is wrong with my approach to solving a heat transfer PDE?

I wanna solve the following heat transfer PDE using Mathematica. $\qquad u_{xx}=u_{t}$ with following conditions: $\qquad \begin{cases}u(x,0)=sin(x) &0<x<\pi &,t>0\\u_{x}(0,t)=1\\...
10
votes
2answers
574 views

A more convenient Fourier series

Personally, I feel the design of FourierSeries/FourierSinSeries/FourierCosSeries/...
13
votes
1answer
426 views

why can't Mathematica solve the wave PDE on string when adding a dispersion term?

Could someone possibly gives an insight as to why DSolve can solve $$ \frac{\partial^{2}u}{\partial t^{2}}=\frac{\partial^{2}u}{\partial x^{2} }\qquad t>0 $$ ...
3
votes
3answers
641 views

Solve initial-boundary value problem of heat equation without NDSolve or DSolve

I want to solve the following pde pde = D[u[t, x], t] - D[u[t, x], x, x] == 0 with the boundary conditions defined as ...
5
votes
2answers
328 views

Laplace PDE inside a disk

I can't get Mathematica to solve this standard textbook PDE, which is Laplace inside a disk of some radius. One of the boundary conditions needed is that the solution is finite (bounded) in center of ...
5
votes
1answer
195 views

how to obtain solution for $u_t+u=u_{xx}$

I was trying to verify my hand solution for this PDE using Mathematica. Is a trick to help Mathematica obtain solution to $u_{t}+u=u_{xx}$ with initial conditions $u(x,0)=f(x)$ and boundary ...
2
votes
2answers
528 views

Comparing analytical solution with numerical solution of Helmholtz equation in a unit square

I am just learning PDE, and I am interested to compare analytical solution with numerical solution of Helmholtz equation in a unit square with zero boundary condition. I am not sure if it possible. ...
1
vote
2answers
112 views

How to obtain the exact solution of a partial differential equation?

I know that Mathematica can solve a PDE numerically, but I wonder if it is possible to obtain the exact solution. For example, consider the heat equation $$u_t = \kappa u_{xx} $$ Is it possible to ...
2
votes
1answer
387 views

Solving a BC Differential equation, (Buckling) any way possible

I am trying to verify my manual solution for this problem by any way, so I tried NDSolve, and DSolve, with no success. Can some one help, or even give me the final numbers :D I need the first 3 ...