Solving a Boundary Value Problem using Fourier Transforms

  • Thread starter Thread starter modeiry88
  • Start date Start date
modeiry88
Messages
4
Reaction score
0

Homework Statement



Formally solve the following boundary value problem using Fourier Transforms.

Homework Equations



\partialu/\partialt = (\partial^{2}u/\partialx^{2})+(\partialu/\partialx)

(-\infty<x<\infty,t>0)

u(x,0)=\Phi(x)

(-\infty<x<\infty)

u(x,t) is bounded for -\infty<x<\infty,t\geq0


The Attempt at a Solution



Cannot come up with a solution
 
Physics news on Phys.org
That's 3 posts and no work shown on anyone of them. You *must* show an attempt at a solution, or we cannot be of help to you. Please click on the "Rules" link at the top of the page.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top