New answers tagged

4 votes

Finite difference problem

Since this is apparently a homework problem, let's just illustrate the idea on a simple small example. Let's take the domain [0,1], with the discontinuity at $x=0.5$, and assume $\alpha$=1 to the left ...
Maxim Umansky's user avatar
1 vote

Does anyone know how to add a forcing term at the center of a cicular membrane?

Once again, my mates and I have successfully deciphered how to tackle this. It's worth noting that when introducing the forcing term, altering 'i' impacts the radial position, while adjusting 'j' ...
Manuel Borra's user avatar
5 votes

enough conditions to check that a matrix doesn't have Cholesky factorization while factorizing it

You are trying to figure out what is known as Modified Cholesky. There are a lot of resources on it, but McSweeney's thesis is a good starting point "Modified Cholesky Decomposition and ...
Abdullah Ali Sivas's user avatar
1 vote

Local truncation error of given implicit 1-step scheme

You insert the exact solution on both sides so that $y'(t_{n+1})=f(t_{n+1},y(t_{n+1}))$ and $y''(t_{n})=f'(t_{n},y(t_{n}))$. Thus \begin{align} O(h^{p+1})=g(h)&=-y(t+h)+y(t)+\frac{h}{6}[4y'(t)+2y'(...
Lutz Lehmann's user avatar
  • 5,544

Top 50 recent answers are included