But you are not taking into account all the coal mining locations and facilities that will also shut down, plus the damages they do to the atmosphere. Geothermal combined with hydro, wind, solar, and advanced nuclear could make for a beautiful future.
I ended up adding an interface condition to the solver.
To conserve current, we need this condition to be satisfied at the boundary:
D_{1}J_{1}(x)=D_{2}J_{2}(x)
To satisfy this condition, I stopped at the interface and applied this condition at that point. Then I continued. I used a...
I am writing a multi-region diffusion code. The two regions have different material properties, so the analytical solution shows a discontinuity at the interface between the regions.
As can be seen here:
The numerical code I am running is (Mathematica):
While[converge > .00001...
1. Homework Statement
I need to find an expression for:
y^{2}H(y)
I know how to find:
yH(y)
with:
yH(y)=\frac{1}{2}H_{n+1}(y)+nH_{n-1}(y)
I looked through the miscellaneous relations but nothing stuck out to me. Can someone give me some guidance on how to go about finding a...
The history of our understanding of the sun is a very rich area. Ancients believed the sun was a god while we now know the sun is an enormous body of fusion. What I would like to discuss is how the scientists thought the sun worked after the development of the basics of thermodynamics but...
1. Homework Statement
Two monoenergetic neutron beams I1=2*10^10 and I2=1*10^10 intersect at an angle of 30 degrees. Calculate both the flux and current in the region where they intersect.
2. Homework Equations
3. The Attempt at a Solution
I lined the first I1 up parallel to...
1. Homework Statement
I am given a trial function and before I use the variational method, I need to normalize the trial function. This is easy usually, but I don't know what to do in this specific case:
The trial function is:
X[x]=N1(1-x^2)+N2(x-x^3)
Domain: -1<x<1
N1 and N2 are the...
Oh my god! Its not wrong! I plotted the analytical solution incorrectly. How about that? The numerical solution being correct but the analytical being wrong. Ugh!
Well, anyway.
Anyone see any ways to streamline the code?
1. Homework Statement
I have to program a three component decay chain using finite difference approximation. I understand finite difference and have written my code, but I have an error I can not find which is giving me an erroneous answer. The curve is correct, but the magnitude of the...
Thanks Coto, it worked great. I took the inverse laplace transform and got this answer:
\alpha exp(-\alpha t)sin(x)
This answers makes sense physically.
Okay, so the general solution will vanish leaving the particular, then transform that back using an inverse transform. I'll give it a go and see if it makes sense physically.
Thanks for the advice!
1. Homework Statement
I'm working with a heat equation that requires a Laplace transform. I performed the transform and ended up with a basic ODE with a particular solution. I solved for the particular solution and then realized I was working on an infinite domain in my spacial dimension...