All Questions
Tagged with crank-nicolson implicit-methods
3
questions
1
vote
1
answer
128
views
Finite difference methods
I am currently applying the finite difference method to the solution of the diffusion equation.
I think that a problem has occurred, and is as follows, my explicit method is the most accurate when ...
- 33
1
vote
1
answer
313
views
Finite difference - Explicit / Implicit / Crank Nicolson - Does the implicit method require the least memory?
Examine a dynamic 2D heat equation $\dot{u} = \Delta u$ with zero boundary temperature. A standard finite difference approach is used on a rectangle using a $n\times n$ grid. For the resulting linear ...
- 11
5
votes
2
answers
2k
views
Why is Crank-Nicolson considered implicit in time?
From Wikipedia:
Explicit methods calculate the state of a system at a later time from
the state of the system at the current time, while implicit methods
find a solution by solving an equation ...
- 153