Use finite difference method to solve for eigenvalue E from the following second order ODE:
- y'' + (x2/4) y = E y
I discretize the equation so that it becomes
yi-1 - [2 + h2(x2i/4)] yi + yi+1 = - E h2 yi
where xi = i*h, and h is the distance between any two adjacent mesh points.
This...
Use finite difference method to solve for eigenvalue E from the following second order ODE:
- y'' + (x2/4) y = E y
I discretize the equation so that it becomes
yi-1 - [2 + h2(x2i/4)] yi + yi+1 = - E h2 yi
where xi = i*h, and h is the distance between any two adjacent mesh points.
This is my...
Hi, all!
I have trouble by using Mathemtica to solve the following problem as shown on the attachment. You see that the two recursive relations depend one another. I plan to write a "For" loop to evaluate E, instead of using Rsolve (a build-in function in Mathematica), however, I am very new...
One is:
http://en.wikipedia.org/wiki/Chi-squared_distribution
where at the bottom of the page, chi-square = sum of something devided by variance.
However, here:
http://www.napce.org/documents/research-design-yount/23_chisq_4th.pdf [Broken]
where the chi-square formula is that the sum...